Name
Tie Breaker: Points
scored on Stated and
Geometry Problems
+
+
+
5x(Last Problem Attempted) +
7x(Number Incorrect)
2x(Number Incorrect SDs)
TOTAL SCORE
+
-
+
-
UIL Calculator
Applications
Test 15A
(Invitational A)
DO NOT OPEN THE TEST UNTIL INSTRUCTED TO BEGIN
I.
II.
Calculator Applications rules and scoring—See UIL Constitution
How to write the answers
A.
For all problems except stated problems as noted below—write
three significant digits.
1.
Examples (* means correct but not recommended)
Correct:
12.3, 123, 123.*, 1.23x10*, 1.23x100*
1.23x101, 1.23x1001, .0190, 0.0190, 1.90x10-2
Incorrect: 12.30, 123.0, 1.23(10)2, 1.23.102, 1.230x102,
1.23*102, 0.19, 1.9x10-2, 19.0x10-3, 1.90E-02
2.
Plus or minus one digit error in the third significant digit is
permitted.
B. For stated problems
1.
Except for integer, dollar sign, and significant digit
problems, as detailed below, answers to stated problems
should be written with three significant digits.
2.
Integer problems are indicated by (integer) in the answer
blank. Integer problems answers must be exact, no plus or
minus one digit, no decimal point or scientific notation.
3.
Dollar sign ($) problems should be answered to the exact
cent, but plus or minus one cent error is permitted. Answers
must be in fixed notation. The decimal point and cents are
required for exact-dollar answers.
4.
Significant digit problems are indicated by underlined
numbers and by (SD) in the answer blank. See the UIL
Constitution and Contest Manual for details.
III. Some symbols used on the test
A.
Angle measure: rad means radians; deg means degrees.
B.
Inverse trigonometric functions: arcsin for inverse sine, etc.
C.
Special numbers:  for 3.14159 ...; e for 2.71828 ...
D.
Logarithms: Log means common (base 10); Ln means natural
(base e); exp(u) means eu.
Page 15A-1
15A-1.
(–0.811 x 0.791) + 0.473 ---------------------------------------------- 1=________________
15A-2.
(–4.26 x 8.18) – (12.1 – 21.7) ---------------------------------------- 2=________________
15A-3.
(91.6 – 71.7 + 105 + 41.9)/(–96.2) ---------------------------------- 3=________________
15A-4.
()(–55.4 – 53.7 + 167)
(28.5)(78.6)
15A-5.
–5.44 + 1.81 – 3.23 +
---------------------------------------------- 4=________________
(–28800 + 25600)
--------------------------- 5=________________
(–24.4)(–74.8)
15A-6. How many times can 487 be subtracted from 19,921 maintaining a
positive remainder? ---------------------------------------------------------------- 6=___________integer
15A-7. Josh bought three tax-free items that cost $1.59, $4.48 and
$3.29. How much change did he get back if he paid with a $20 bill? ---------- 7=$_______________
15A-8. What number when added to the denominator of 5/31 yields
11/16? ------------------------------------------------------------------------------ 8=________________
15A-9.
15A-10.
SQUARE
SEMICIRCLE
Area = 8140
Perimeter = ?
Area = ?
15A-9 =______________
15A-10 =______________
Page 15A-2
15A-11.
(8.52)(1.98) – (4.37)(1.77) + 8.73
--------------------------------- 11=________________
24.1 + (–2.41)(–4.23)
15A-12.
(–469)(–900) – (962 + 302)(871)
---------------------------------- 12=________________
(–400 + 506 + 105)(245)
15A-13.
(–2.87x10–5 – 1.63x10–4){3860 + (38)(71.5)}
(–20.9)(–0.555 + 0.163)(–21.9)(–87)
15A-14.
431 + 167 – 269 (–29600)(8.88x10–4 + 7.48x10–4)
–
----------- 14=________________
(0.801)(0.644)
0.222 + 0.222 – 1.1
15A-15.
(3.89 + 4.77)
–0.224
(0.828)(395 – 309)
+
+
---------------- 15=________________
8.17 – 22.3
66.8 + 101
(–676)(0.176)
------------------ 13=________________
15A-16. An acre of trees produces enough oxygen for 18 people. What
area of trees is needed to support the earth for 7.05 billion people? ---------- 16=_____________mi2
15A-17. The “Ceremonial” South Pole is a monument marking the
location of the South Pole. Because it sits on almost 2 mi of shifting ice,
the actual location moves about 10 meters/yr. How long would it take the
actual location to shift 100 yd from the Ceremonial South Pole? --------------- 17=______________yr
15A-18. A 150-towel roll of paper towels has an outside diameter of
6.1 in, and the inner tube diameter is 1.5 in. If each towel is 10.5 in
square, what is the average thickness of a paper towel? ----------------------- 18=______________in
15A-20.
15A-19.
RIGHT TRIANGLE
15A-19 =______________
RIGHT TRIANGLE
15A-20 =______________
Page 15A-3
15A-21.
15A-22.
–0.217 + 1/(–3.96)
1
+
---------------------------------------- 21=________________
1/(0.93) + 2.74
(–1.7)
(3.65)()
+ 0.0718
970 + 831
--------------------------------------------- 22=________________
15A-23.
 + 0.59 + 0.61/0.9962

 ------------------------------------------ 23=________________
7.13 + 5.64


15A-24.
4.39 + 3.35 + (12.2)/(6.38)
--------------------------------------- 24=________________
0.569 + 0.26
15A-25.
(0.00985)(74.4) +
(0.888)/(9.57) + [(0.435)(1.29)]2 ---------- 25=________________
15A-26. How many pounds of M&M candies are produced annually?
There are 545 M&Ms in a 1-lb bag, and there are 400 million M&Ms
produced daily. -------------------------------------------------------------------- 26=______________lbs
15A-27. The red sandstone Stone of Scone is rectangular, 26.2 in by
16.75 in by 10.5 in, and its weight is approximately 336 lbs. What is the
percent difference in its density and the handbook value for sandstone,
2.65 g/cm3? ----------------------------------------------------------------------- 27=___________%(SD)
15A-28. A canoer on a river takes 10 min 28 sec to row a distance
downstream, but he requires 35 min 40 sec to row back upstream. What
is the river velocity divided by the canoer’s velocity in still water? ------------- 28=________________
15A-30.
15A-29.
CYLINDER
CUBE
Volume = 66,600
AB = 6.73
Volume = ?
15A-29 =______________
15A-30 =______________
Page 15A-4
15A-31.
15A-32.
15A-33.
6.74
1
1

 ---------- 31=________________
x 
+
2
2
85.9 + 13
(2.82 + 2.23) 
(1.48 – 0.499)
(3.54x10–7 + 5.83x10–7)
92.4 – 38.1
2
5.63x10–17
4.68x10–7 + 5.99x10–7
+
(5640)/{(5920)/ 2650}
+
2.19 + (0.193)(3.14)
{5.77 + 7.65}
2
(2.27x105) (4.52x10–12 + 3.14x10–12)
15A-34.
+
31700 + (–0.633)(–1.22x105)
15A-35.

57200 + 4.01x105


2
 (1190)(1710)+(1430)




97600 + 2.20x105 + (8.32 – 6.32)
2
1/2
1
------ 32=________________
---------------- 33=________________
1.29x10–6
1
+
34=___________
1
(–3.89x10–7)
----------------------------- 35=________________
15A-36. Rose and Della run a one-lap race around a quarter mi track.
Della runs a mile in 7 min 22 s. How fast must Rose run to win by 2 s? ------ 36=_____________mph
15A-37. Geographic angles are given in the form XY’Z” where X is
degrees, Y is “minutes” (60 minutes per degree) and Z is “seconds” (3600
seconds per degree). What is the distance from Bangor, Maine
(4448’13” N) to Sanitago, Chile (3327’0” S), lying on the same longitude?
37=______________mi
15A-38. A pressurized tank has a leak. The leak rate is proportional to
the pressure p in the tank. With the pump off, the leak rate is 22
moles/min at 50 psi tank pressure. The pump pumps 50 moles of air into
the tank each minute. What is the equilibrium tank pressure with the
pump running? -------------------------------------------------------------------- 57=______________psi
15A-39.
SCALENE TRIANGLE AND
CIRCUMSCRIBED CIRCLE
15A-39 =______________
15A-40.
SCALENE TRIANGLE
15A-40 =______________
Page 15A-5
15A-41(–1600)(4180)10
{–3540/–2260}
------------------------------------ 41=________________
1
–0.519
----------------------------------------------- 42=________________
15A-42–8.11 e + () e
15A-43
Ln(0.607 + 0.921 – 0.389)
------------------------------------------- 43=________________
(–0.912)
15A-44(3.69)3 + (18.4 – 8.32)1.02
----------------------------------------- 44=________________
15A-45.(deg) {(–0.00147)sin(–38.4°)} x {(0.00358)cos(–115°)} ----------- 45=________________
15A-46. Dave has a recipe for corn maque choux that calls for 8 ears of
corn, each 8-in long. At the store, there is a sale on 10-in long ears of
corn. How many ears should he buy if he intends to double the recipe? ----- 46=__________integer
15A-47. In 2014, Candice observed the time of moonrise on consecutive
evenings starting August 17: 12:28 AM, 1:14 AM, 2:02 AM, 2:48 AM,
3:40 AM. Estimate how many minutes past 3 AM the moon will rise on
August 22. -------------------------------------------------------------------------- 47=____________min
15A-48. For what negative value of w does (w+8)/w4 = 6? ------------------- 48=_______________
15A-49.
CONES
Total Volume = 4.86
15A-50.
CYLINDER WITH HEMISPHERICAL CAVITY
Total Surface Area = 4.81
15A-49 =______________
15A-50 =______________
Page 15A-6
15A-51.
15A-52.
15A-53.
15A-54.
10
(0.551)
10
1+e
–(0.641)
x 10
+ 0.702
------------------------------------ 51=________________
(1.45 + 0.933)
+{0.847 + (0.33)(6.53)}
(–0.229)
(0.902)(5.17 – e
)
------------------------------------- 52=________________
(9.72x10–4 + 0.00148) Log{1/0.399}
----------------------------- 53=________________
Log{(4.17)/(4.12 + 35.3)}
(1.28)
15A-55.(rad)
0.123
– (4.46)
–12.5 + 
arctan
–0.373
----------------------------------------- 54=________________
(3660)(0.531) + (0.276)(4.57) ----------------------- 55=________________
 (1.28)(46.1) 
15A-56. Calculate b if the slope of the curve y = 3x3+bx2-104x+850 at
x = 2 equals 37. ------------------------------------------------------------------- 56=________________
15A-57. An oil leak occurred at a company. A puddle formed on the floor
under the leak, with constant thickness equal to 0.08 in. If the puddle
diameter was changing at a rate of 2.75 in/min after one hr, what was the
oil leak rate? ------------------------------------------------------------------------ 57=___________in3/hr
8 
52 10
 3


 
15A-58. Calculate t given that A3 = 88, B =  9 7
4  and C =  7 
 8 4  38
 t 
and A = BC. ----------------------------------------------------------------------- 58=________________
15A-59.
SOLID OF REVOLUTION (x = -3)
Volume = ?
15A-59 =______________
15A-60.
ROTATED CONGRUENT
EQUILATERAL TRIANGLES
Total Area = ?
15A-60 =______________
Page 15A-7
15A-61.

7.03
0.404
(10 )(10
)(10
)
--------------------------------------------- 61=________________
(4.64)(0.164)}
10{
15A-62.
Log[(0.304)(504)]
Ln[()(47.3)]
+ 10
e
15A-63.
(deg) sin(–12.6°)cos(82.5°) + cos(–12.6°)sin(82.5°) -------------- 63=________________
15A-64.
–
15A-65.
----------------------------- 62=________________
1
1
1
1
+
–
+
(5.6)
3(5.6)3
5(5.6)5
7(5.6)7
(rad)
(–18.4)(0.333) – Ln
------------------------ 64=________________
{(0.00627) + (–4.69)e(–6.95)}
arcsin{(31.4)/(91.3 + 5440)}
------ 65=________________
15A-66. A top-fuel dragster races on a 0.25 mi straight track. It accelerates
from rest to 355 mph in the first 600 ft and then finishes the race at constant
velocity. What is the posted time for the race? --------------------------------- 66=_______________s
15A-67. A circular saw has a 4-in diameter blade. It is used to cut a 1.5-in
diameter rod into two pieces. When the blade edge reaches the center of the
rod, what rod area remains to be sawn? ----------------------------------------- 67=_____________in2
15A-68. A person can jump 5.5 ft vertically on earth. For the same effort,
defined as identical initial velocity, how far could they jump on the moon, if
the gravitational acceleration is 16.9% that of earth? -------------------------- 68=______________ft
15A-69.
FRUSTUM
Volume = ?
15A-70.
CYLINDER
AB = 0.602
BC = 0.407
C = Center
AB = 7740
15A-69 =______________
15A-70 =______________
15A-1
= -0.169
15A-11
= -1.69x10-1
15A-2
= -25.2
= -1.73
= -1.73x100
15A-4
15A-12
15A-13
= -8.08x10-5
15A-14
= 564
= 0.0812
= 5.64x102
15A-15
= -8.61
= -8.61x100
15A-6
= 40
integer
15A-7
= $10.64
= -13.1
15A-16
15A-17
15A-22
15A-23
= 1.25x10-1
15A-24
= 3.75
= 3.75x100
= -1.21
= -1.21x100
15A-25
= 1.35
= 612,000
= 6.12x105
15A-26
= 2.68x108
= 9.14
15A-27
= 31
= 1.35x100
= 3.1x101 (2SD)
= 127,000
= 1.27x105
15A-18
15A-19
= 0.0174
15A-28
= 0.0256
15A-29
= 1.74x10-2
= 0.546
= 5.46x10-1
= 18.0
= 1.80x101
= 2.56x10-2
15A-10
= 0.125
= -23.7
= -2.37x101
15A-9
= 0.152
= 1.52x10-1
= 9.14x100
15A-8
= -0.711
= -7.11x10-1
= -1.31x101
= 8.12x10-2
15A-5
15A-21
= 5.21x10-1
= -2.52x101
15A-3
= 0.521
= 370
= 3.70x102
15A-20
= 21.7
= 2.17x101
15A-30
= 58.7
= 5.87x101
15A-33
= 8.00
15A-36
15A-40
15A-39
15A-38
15A-37
= 2.92x10-7
15A-35
= 3.86x10-1
= 0.386
= 1.59x102
= 159
= 1.14x102
= 114.0
= 5.41x103
= 5410
= 8.00x100
= 3.07x10-6
15A-34
= 6.17x100
= 6.17
15A-32
= 8.88x10-1
= 0.888
= 1.74x10-13
15A-31
15A-50
15A-49
15A-48
= 85.8
15A-47
integer
= 1.11x100
= 1.11
= 9.44x10-1
= 0.944
= -1.04x100
= -1.04
= 8.58x101
= 11
= -1.38x10-6
= 6.08x101
= 60.8
= -1.43x10-1
= -0.143
15A-46
15A-45
15A-44
15A-43
= -20.2
15A-42
= -2.02x101
= -2.46x108
15A-41
15A-60
15A-59
15A-58
15A-57
15A-56
15A-55
15A-54
15A-53
15A-52
15A-51
= 1.34x103
= 1340
= 4.55x101
= 45.5
= -2.21x100
= -2.21
= 6.84x103
= 6840
= 2.63x101
= 26.3
= 2.80x100
= 2.80
= -4.90x10-2
= -0.0490
= -0.00100
= -1.00x10-3
= 5.35x100
= 5.35
= 0.00627
= 6.27x10-3
15A-70
15A-69
15A-68
15A-67
15A-66
15A-65
15A-64
15A-63
15A-62
15A-61
= 3.16x10-1
= 0.316
= 1.44x1011
= 3.25x101
= 32.5
= 9.54x10-1
= 0.954
= 3.69x100
= 3.69
= 3.65x101
= 36.5
= -1.77x10-1
= -0.177
= 9.39x10-1
= 0.939
= 3.02x102
= 302
= 6.53x109
Name
Tie Breaker: Points
scored on Stated and
Geometry Problems
+
+
+
5x(Last Problem Attempted) +
7x(Number Incorrect)
2x(Number Incorrect SDs)
TOTAL SCORE
+
-
+
-
UIL Calculator
Applications
Test 15B
(Invitational B)
DO NOT OPEN THE TEST UNTIL INSTRUCTED TO BEGIN
I.
II.
Calculator Applications rules and scoring—See UIL Constitution
How to write the answers
A.
For all problems except stated problems as noted below—write
three significant digits.
1.
Examples (* means correct but not recommended)
Correct:
12.3, 123, 123.*, 1.23x10*, 1.23x100*
1.23x101, 1.23x1001, .0190, 0.0190, 1.90x10-2
Incorrect: 12.30, 123.0, 1.23(10)2, 1.23.102, 1.230x102,
1.23*102, 0.19, 1.9x10-2, 19.0x10-3, 1.90E-02
2.
Plus or minus one digit error in the third significant digit is
permitted.
B. For stated problems
1.
Except for integer, dollar sign, and significant digit
problems, as detailed below, answers to stated problems
should be written with three significant digits.
2.
Integer problems are indicated by (integer) in the answer
blank. Integer problems answers must be exact, no plus or
minus one digit, no decimal point or scientific notation.
3.
Dollar sign ($) problems should be answered to the exact
cent, but plus or minus one cent error is permitted. Answers
must be in fixed notation. The decimal point and cents are
required for exact-dollar answers.
4.
Significant digit problems are indicated by underlined
numbers and by (SD) in the answer blank. See the UIL
Constitution and Contest Manual for details.
III. Some symbols used on the test
A.
Angle measure: rad means radians; deg means degrees.
B.
Inverse trigonometric functions: arcsin for inverse sine, etc.
C.
Special numbers:  for 3.14159 ...; e for 2.71828 ...
D.
Logarithms: Log means common (base 10); Ln means natural
(base e); exp(u) means eu.
Page 15B-1
15B-1.
9.36 + 2.28 – 17.6 ----------------------------------------------------- 1=________________
15B-2.
(4.18 + 3.95 – 1.3) x 4.45 --------------------------------------------- 2=________________
15B-3.
(42.4 – 5.15 – 5.72 + 0.699) x (80.2) -------------------------------- 3=________________
15B-4.
(8.41)(–0.49 – 0.205 + 0.224)
--------------------------------------- 4=________________
(–5.62)(6.42)
15B-5.
17000 + 15000
+ 1.03x108 – 8.21x107 -------------- 5=________________
(–0.0999)(–0.0571)(0.0576)
15B-6. What is the square root of the sum of 57 and the square root of
5000? ------------------------------------------------------------------------------- 6=________________
15B-7. If a 128 GB hard drive costs $66.11, what is the cost for 1 GB of
useable space? Assume that a 128 GB hard disk actually has 115 GB of
formatted free space on it. -------------------------------------------------------- 7=$_______________
15B-8. What is b if ex = 2bx? ----------------------------------------------------- 8=________________
15B-9.
15B-10.
CIRCLE
PARALLELOGRAM
Area = ?
Area = 0.169
15B-9 =______________
15B-10 =______________
Page 15B-2
15B-11.
(599 + 449)(525 – 104 + 484)
-------------------------------------- 11=________________
(799)(106) – 9.72x105
15B-12.
(0.182 + 0.0592 – 0.121)(0.947)(–0.744)
------------------------- 12=________________
(3.47 – 0.831)(0.43 – 0.612)
15B-13.
(–9.02x10–5 – 1.42x10–4){5960 + (51.9)(86.6)}
(–15.1)(–0.436 + 0.262)(–86.4)(1.13)
15B-14.
(5330 + 1490 – 616)(0.00368 + 0.00443 – 4.87x10–4)
---------- 14=________________
( – 6)(–5.9)(5.82 – 2.66)
15B-15.
3.10x105 + 7.70x105 – (96300 + 1.28x105)(3.36 – 1.46)
------- 15=________________
(–726)(4.41)(–3.77)(995 – 556 + 1050)
---------------- 13=________________
15B-16. How much water falls on Texas if 80% of the state gets 1.5 in of
rain? The area of the state is 268,800 mi2. ------------------------------------ 16=______________lbs
15B-17. Steps are 8 in tall and 12 in deep. If the top step in a straight
stairway to a door is 30 ft above the ground, how far from the bottom of
the door does the stairway start? ------------------------------------------------- 17=_______________ft
15B-18. A one day admission ticket to Schlitterbahn Water Park in New
Braunfels costs $71.97, but a season pass is $145.99. What is the
percent difference in cost of these tickets? -------------------------------------- 18=______________%
15B-19.
15B-20.
RIGHT TRIANGLE
RIGHT TRIANGLE
Area = 0.258
15B-19 =______________
15B-20 =______________
Page 15B-3
2
15B-21.
(0.63)(0.851) + 0.0363 +





15B-22.
 2.85 – 2.4 (0.163)2

 -------------------------------------------- 22=________________
+
0.98
0.495 

15B-23.
()(–7.86) +
15B-24.
[–13.3 +
15B-25.
0.936 + 0.137 + 0.207/0.6782

 ---------------------------------- 25=________________
4.85 + 4.55


5.72x10–5 ------------------------ 21=________________
(104)/(6.91) + [(0.247)(8.06)]2 ------------------- 23=________________
2
134] x [861 + 1800]2 x
270/375
------------------ 24=________________
15B-26. The amount of force F (lbs) needed to pull a post out of the
ground depends on how deep it is buried. The relation to depth d (in) is
F = 150d/14. If Farmer John’s pulling strength is 45 lb, to what depth
must he dig around the post to be able to pull it out by hand? The post is
buried 18 inches in the ground. -------------------------------------------------- 26=______________in
15B-27. A US flag is 3 ft tall and 5 ft 8.4 in long. It is mounted on a vertical
flag stand so that the tip of the drooped flag is 1 ft off the ground. How tall
is the flag stand? ------------------------------------------------------------------- 27=_______________ft
15B-28. A TV commercial alleged that a person blinks 17,000 times per
day. If blinking does not occur during the 8 hr a person is sleeping, what
is the average time between blinks? --------------------------------------------- 28=_____________sec
15B-29.
15B-30.
CUBE
Total Surface Area = 8.41
15B-29 =______________
CONE
Volume = 62.8
15B-30 =______________
Page 15B-4

15B-31. 

15B-32.
15B-33.
15B-34.
15B-35.

–7.60x10–7
+ 1.35 x
–2.42x10–6 + 2.57x10–7

{2680 + (–79.5)2 –
4.31x107
}
31=____________
1.59
1
1

 ------------ 32=________________
x 
+
2
2
20.1 + 17.5
(16.7 + 14) 
(7.78 – 5.98)
(0.00109)/{(0.00217)/ 0.00513}
+
0.0722 + (0.946)(2.9)
{0.0028 + 0.00603}
1/2
33=________________
1/2
[(0.0915 – 0.0843)(0.43/0.337)]
------------------------------ 34=________________
2
2
(0.236) + (0.109 + 0.588) + 0.153
2
1.91x10–22 + 5.96x10–22
0.758
2
{(–0.00278)/(0.00523)}
(–0.00405 + 0.00203)
(204 + 293)


+
---- 35=________________
15B-36. What is 933,49293,349? ----------------------------------------------- 36=________________
15B-37. A space ship travels from earth to Saturn at 0.53 times light
speed, and then on to Pluto at 0.81 times light speed. What is the total
travel time if the earth/Saturn distance is 8.5 au, and the distance from
Saturn to Pluto is 30.1 au? An au equals 92,956,000 mi, and the speed of
light is 299,792,458 mi/s. -------------------------------------------------------- 37=____________s(SD)
15B-38. Shannon is deciding whether to fly or drive to a destination. To
fly, she spends 30 minutes getting to/from the airport, 45 minutes
checking in and getting through security, 30 minutes waiting to board,
15 minutes taxing before and after the flight and 30 minutes waiting for
baggage at the destination airport. An airplane averages 550 mph, and
driving, she averages 55 mph. What is the break-even distance traveled
where the time flying equals the time driving? ---------------------------------- 38=_____________mi
15B-39.
SCALENE TRIANGLE AND
INSCRIBED CIRCLE
15B-39 =______________
15B-40.
SCALENE TRIANGLES
15B-40 =______________
Page 15B-5
15B-41
10
–(5.77 – 7.96)
–6.16x10–5 + 5.94x10–5
15B-4220600 e
0.591
+ (8330) e
--------------------------------------------- 41=________________
–0.728
------------------------------------- 42=________________
15B-43(–3.42 – 29.7) Ln{(–6.26)(–4.3)} ------------------------------------ 43=________________
15B-44(–6.05x10–4 + 0.00127)
–(0.549 + 0.995)
-------------------------- 44=________________
15B-45.(deg) {(3.27x10–4)sin(–179°)} x {(0.00305)cos(–114°)} ---------- 45=________________
15B-46. A cookie recipe calls for 2 cups oatmeal and makes 4 dozen 3-in
cookies. How many cups of oatmeal are needed to make 8 dozen 4-in
cookies? ---------------------------------------------------------------------------- 46=____________cups
15B-47. Tracey ran a mile each day for a week. Her times were
9 min 20 s, 9 min 8 s, 8 min 45 s, 8 min 18 s, 8 min 2 s, 7 min 55 s, and
7 min 40 s. After how many more days will her time be estimated to drop
just below 7 min? ------------------------------------------------------------------ 47=_______dy integer
15B-48. (rad) For what value of t does cos √t = t3? --------------------------- 48=_______________
15B-49.
15B-50.
HEMISPHERE AND CONE
SQUARE PYRAMID
Total Volume = 1.53x106
Volume = 2510
15B-49 =______________
15B-50 =______________
Page 15B-6
15B-51.
15B-52.
–(3.23 – 0.391)
(–7.51x105) 10
------------------------------------- 51=________________
–2.61x105 + 34900
1+e
+{0.741 + (0.803)()}
(0.0793)(7.55 – e
(–0.446)
)
--------------------------------------- 52=________________
15B-53.
(–4.18x105) Log(3.95x105 + 9.35x105)
Log(0.354) – (0.679)(0.76)
15B-54.
–0.739
(9.61 + 77.7)
---------------------------------------------- 54=________________
–(0.907 + 0.423)
(8.19)
15B-55.(rad)
arcsin
--------------------------- 53=________________
{(–1.82x10–6)(4.07x10–5)/(–1.01x10–10)}
2.98x10–10 + (5.49x10–6)(8.15x10–5)
--------- 55=________________
15B-56. What is the slope of the equation y+4xy+x = 12 at x = 5? ---------- 56=________________
15B-57. Two light stands are placed on a table with the bulbs 4 ft apart
and 18 in off the table surface. If the bulbs are 75 and 100 watts
respectively, how far from the brighter bulb is the least well lit point on the
table between the stands? Bulb intensity decreases with the square of
distance from the bulb. ----------------------------------------------------------- 57=______________in
9 g 12 


15B-58. Solve g if the determinant of 8 13  6 = 25, and
g 4
1 
g is negative. ---------------------------------------------------------------------- 58=________________
15B-59.
SOLID OF REVOLUTION (y = -5)
15B-60.
SQUARE AND QUARTER CIRCLE
Volume = ?
15B-59 =______________
15B-60 =______________
Page 15B-7
15B-61.
e
–(0.399 + 0.744)
2
{e(0.681 – 0.622)}
x
3
(8.2)2 ---------------------------------- 61=________________
15B-62.
(rad)
sin(50.5)
cos(50.5)
15B-63.
(deg)
{cos2(59.3°) – sin2(59.3°)} x
15B-64.
1 + (0.621) +
15B-65.
(–0.0229)2 + (3.52x10–4)
(–1.53) (–6.29)
 ----------------- 65=________________
–
Ln 
(–5.79) (9.41)2
(–8.02) + 71


1–
{sin(0.367 x 7.77)}2 ------------------------ 62=________________
tan(59.3°)
1 – tan2(59.3°)
----------- 63=________________
(0.621)2
(0.621)3
(0.621)4
+
+
-------------------- 64=________________
2
6
24
15B-66. On a clear day at the 300 meter tall observation deck of the Eiffel
Tower in Paris, France, one can just make out the Chapelle Royale de Dreux
on the horizon. How far is it from Paris to Dreux? ------------------------------ 66=______________mi
15B-67. A company can buy a bracket for $34.20. They alternatively
consider buying a bracket-making machine. The machine costs $18,000,
labor and electricity to operate the machine is $25/hr, and the material cost
for one bracket is $2.35. The machine makes 150 brackets/hr. What is the
minimum number of brackets produced for which it will be cheaper for the
company to buy the machine and make their own brackets rather than
purchasing brackets? -------------------------------------------------------------- 67=__________integer
15B-68. A golfer uses an 8 iron to tee off. The golf ball initial velocity is
85 mph, and the 8 iron has a loft angle of 38 (relative to the horizontal).
How far does the ball travel before hitting the ground? ------------------------ 68=______________yd
15B-69.
RECTANGULAR SOLID WITH SQUARE FACE AND
CENTER SQUARE HOLE
Total Surface Area = 116
15B-69 =______________
15B-70.
TRUNCATED ISOSCELES TRIANGULAR PRISM
Volume = ?
15B-70 =______________
15B-1
= -5.96
15B-11
= -5.96x100
15B-2
= 30.4
= 2580
15B-12
= 0.110
15B-13
15B-14
= 1.10x10-1
15B-5
= 1.18x108
15B-6
= 11.3
15B-7
= 0.176
15B-22
= 1.03x100
15B-23
= 0.887
15B-24
= 1.79x107
15B-25
= 0.0299
= 0.0364
= 2.99x10-2
= 3.64x10-2
15B-26
= 1.13x101
15B-16
= 4.66x1013
= $0.57
15B-17
= 54.1
= 1.38x101
15B-27
= 7.44
= 7.44x100
15B-18
= 103
15B-28
= 4.33
15B-29
= 1.03x102
= 3.39
= 3.39x100
= 224
= 2.24x102
15B-19
= 1.18
= 1.18x100
= 4.33x100
15B-10
= 13.8
= 1.44
= 1.44x100
15B-9
= -16.9
= -1.69x101
= 5.41x101
15B-8
= 1.03
= 0.00946
= 9.46x10-3
= 8.87x10-1
15B-15
= 0.0504
= 5.04x10-2
= 1.76x10-1
= 2.58x103
15B-4
15B-21
= -1.07x100
= 3.04x101
15B-3
= -1.07
= 0.219
= 2.19x10-1
15B-20
= 0.960
= 9.60x10-1
15B-30
= 3.07
= 3.07x100
15B-40
15B-39
= 199
15B-38
= 4.37x10-1
= 0.437
= 9.16x100
= 9.16
= 1.99x102
= 16 (2SD)
= 1.6x101
15B-36
15B-37
15B-46
= 7.15x10557,303
15B-50
15B-49
= 0.846
15B-48
= 1.80x101
= 18.0
= 7.02x101
= 70.2
= 8.46x10-1
=2
15B-47
integer
= 9.48x100
= 9.48
= 7.08x10-9
15B-45
= 1.65x10-10
= 80500
= -1.09x102
= -109
= 4.12x104
= 41200
= -7.04x107
15B-35
15B-44
15B-43
15B-42
15B-41
= 8.05x104
= 0.138
= 1.61x10-1
= 0.161
= 1.58x10-1
= 0.158
= 4.14x103
= 4140
= 1.38x10-1
15B-34
15B-33
15B-32
15B-31
15B-60
15B-59
15B-58
15B-57
15B-56
15B-55
= 0.603
15B-54
= 1.38x102
= 138
= 2.77x102
= 277
= -3.10x101
= -31.0
= 2.62x101
= 26.2
= -1.11x10-1
= -0.111
= 1.10x109
= 6.03x10-1
= 2.65x106
= 4.95x101
= 49.5
= 0.00481
= 4.81x10-3
15B-53
15B-52
15B-51
15B-70
15B-69
15B-68
15B-67
15B-66
15B-65
15B-64
15B-63
15B-62
15B-61
= 898,000
= 8.98x105
= 1.84x100
= 1.84
= 1.56x102
= 156
= 5.69x102
= 569
= 3.84x101
= 38.4
= -1.72x10-1
= -0.172
= 1.86x100
= 1.86
= 4.39x10-1
= 0.439
= 2.29x10-1
= 0.229
= 2.04x100
= 2.04
Name
Tie Breaker: Points
scored on Stated and
Geometry Problems
+
+
+
5x(Last Problem Attempted) +
7x(Number Incorrect)
2x(Number Incorrect SDs)
TOTAL SCORE
+
-
+
-
UIL Calculator
Applications
Test 15F
(District Week 1)
DO NOT OPEN THE TEST UNTIL INSTRUCTED TO BEGIN
I.
II.
Calculator Applications rules and scoring—See UIL Constitution
How to write the answers
A.
For all problems except stated problems as noted below—write
three significant digits.
1.
Examples (* means correct but not recommended)
Correct:
12.3, 123, 123.*, 1.23x10*, 1.23x100*
1.23x101, 1.23x1001, .0190, 0.0190, 1.90x10-2
Incorrect: 12.30, 123.0, 1.23(10)2, 1.23.102, 1.230x102,
1.23*102, 0.19, 1.9x10-2, 19.0x10-3, 1.90E-02
2.
Plus or minus one digit error in the third significant digit is
permitted.
B. For stated problems
1.
Except for integer, dollar sign, and significant digit
problems, as detailed below, answers to stated problems
should be written with three significant digits.
2.
Integer problems are indicated by (integer) in the answer
blank. Integer problems answers must be exact, no plus or
minus one digit, no decimal point or scientific notation.
3.
Dollar sign ($) problems should be answered to the exact
cent, but plus or minus one cent error is permitted. Answers
must be in fixed notation. The decimal point and cents are
required for exact-dollar answers.
4.
Significant digit problems are indicated by underlined
numbers and by (SD) in the answer blank. See the UIL
Constitution and Contest Manual for details.
III. Some symbols used on the test
A.
Angle measure: rad means radians; deg means degrees.
B.
Inverse trigonometric functions: arcsin for inverse sine, etc.
C.
Special numbers:  for 3.14159 ...; e for 2.71828 ...
D.
Logarithms: Log means common (base 10); Ln means natural
(base e); exp(u) means eu.
Page 15F-1
15F-1.
(–0.761/3.17) + 0.232 ------------------------------------------------- 1=________________
15F-2.
(–20.5 + 13 – 4.16) x 37.6 -------------------------------------------- 2=________________
15F-3.
(45.8 – 7.95 + 9.18) x (75.8) – 24700 ------------------------------- 3=________________
15F-4.
{(91.9 – 54.9 + 77.3)(–90.3)(5.15)} – 15800 ----------------------- 4=________________
15F-5.
(0.0233 + 0.0139 – 0.016)(–0.0912)
(–0.0769)(0.0121)(–0.0126)
-------------------------------- 5=________________
15F-6. What is the average of 56, 39 and 14? ---------------------------------- 6=________________
15F-7. How many times must the square root of 994 be taken before the
result drops just below 1.1? ------------------------------------------------------- 7=___________integer
15F-8. James drives at 55 mph from Ozona to Junction, a distance of 92.1
mi. how long does the trip take? ------------------------------------------------- 8=______________hr
15F-9.
SEMICIRCLE
15F-10.
RHOMBUS
Area = ?
Perimeter = 62.2
15F-9 =______________
15F-10 =______________
Page 15F-2
15F-11.
(–4.13)(2.73) + (–5.25)(9.38)
–7.16 +  – (–8.54)(0.672)
-------------------------------------- 11=________________
15F-12.
( + 3.99 – 5.21)(–84.9)(79.4)
(9.04 – 6.68)(44.9 – 177)
------------------------------------- 12=________________
15F-13.
(–6.64x10–5 – 9.78x10–5){0.518 + (–0.926)(–0.532)}
---------- 13=________________
(0.0791)(–0.862 + 0.801)(0.554)(–0.463)
15F-14.
939 + 700 – 1440 (1610)(6.04x10–4 + 4.70x10–4)
–
(0.973)(7.22)
0.211 + 0.114 – 0.197
15F-15.
36000 + 96300 – (61400 + 1.36x105)(1.24 – )
------------------ 15=________________
(–889)(–0.669)(–0.191)(522 – 983 + 1150)
------------ 14=________________
15F-16. A “Susie B” dollar coin weighs 8.1 g. A dime weighs 2.268 g.
What is the ratio of the value of 10 lbs of Susie B’s to 10 lbs of dimes? ------- 16=________________
15F-17. What is the ratio of lives of the longest living creature, the
Antarctic sponge at 1550 yr and the shortest living creature, a mayfly, at
24 hr? The answer is greater than one. ------------------------------------------ 17=________________
15F-18. A pair of contact lenses weighs 0.4 g and cost $8. What is the
cost/mass of a contact lens divided by the cost/mass of gold, $19,300/lb? --- 18=________________
15F-19.
15F-20.
RIGHT TRIANGLE
RIGHT TRIANGLE
Area = 305,000
15F-19 =______________
15F-20 =______________
Page 15F-3
15F-21.
 1.85 – 1.06 (–1.53)2

 ------------------------------------------- 21=________________
+
–5.1
8.99 

15F-22.
1
1
1
+
+
9.39 + 16.3
24.1 – 97.4
(4.78)
15F-23.
(–27.8)(–8.26) +
15F-24.
[–68.2 +
15F-25.
(81.5)(0.00376)
-------------------------------- 22=________________
(2790)/(3.73) + [(0.698)(8.66)]2
2
2610] x [743 + 1190]2 x
------------ 23=________________
9.27/4.22 ---------------- 24=________________
(–0.971)2/0.205 + 1/ 1.18 + 1.23 ------------- 25=________________
15F-26. Randy and Walter buy lunch. They spend $18.75 and $16.45,
respectively, on their meal, but they decide to split the check in half. If
they add on an 18% tip, how much of Randy’s lunch did Walter pay for? ----- 26=$_______________
15F-27. A major league pitcher throws a fast ball with a velocity of
98 mph. If the pitcher’s mound is 60 ft 6 in from home plate, and human
reaction time is 150 ms, how much time does a batter have to decide
whether or not to swing? --------------------------------------------------------- 27=______________ms
15F-28. What is ln3(153)? “ln3” is the base 3 logarithm function. ------------ 28=________________
15F-29.
15F-30.
SPHERE
CONE
Volume = ?
Total Surface Area = ?
15F-29 =______________
15F-30 =______________
Page 15F-4
15F-31.
2
(0.912 + 1.7)
+
70.9 – 58.5
15F-32.
–10400


+ 0.477 x
95800 + 16000

15F-33.
1/2
[0.0101/(0.448 + 0.357) + 1/(64.4)]
--------------------------- 33=________________
2
(68.4 + 227) x 2.05 – (–0.412)
15F-34.
1/2
[(472 – 460)(0.272/0.953)]
----------------------------- 34=________________
2
2
(0.289) + (0.118 + 0.646) + 0.0836
15F-35.
0.347
0.0429 + 0.0591
----------------------------- 31=________________
{180 + (–39.2)2 –
(–5.16x10–4 + 6.77x10–5)2

 +
(381 + 464)


{
}
4.16x106
-- 32=________________
2.31x10–26 + 6.23x10–26
0.709
2
(–7.83x10–4)/(6.62x10–6)
}
35=________________
15F-36. Farmer Gilmore thought he had 25.5 acres of land, but a
surveyor measured the rectangular plot to be 892.52 ft by 1285.88 ft.
What is the percent error in the farmer’s estimate? ---------------------------- 36=___________%(SD)
15F-37. A large cube is made up of 243 or 13,824 small cubes. What
percent of the total number of small cubes compose the surface of the
large cube? ------------------------------------------------------------------------ 37=_______________%
15F-38. Four spheres are set on a table and formed into a square with
their surfaces touching. Another sphere is placed on top in the middle of
the foursome. Then another four spheres with surfaces touching are
balanced on top of the single sphere, so the centers of the top and bottom
spheres in the two foursomes form a rectangle. If each sphere has a
radius of 1.5 in, what is the total height of the assembly? --------------------- 38=______________in
15F-39.
RIGHT TRIANGLE WITH
CIRCUMSCRIBED CIRCLE
15F-39 =______________
15F-40.
PARALLELOGRAM
15F-40 =______________
Page 15F-5
15F-4110
–{(0.37 – 0.519)/(0.684 + 0.0684)}
+0.419
–0.759
e
+e
15F-42
(92000 + 20100)
15F-43
----------------------------- 41=________________
--------------------------------------------------- 42=________________
13800 – 21600
-------------------------------------------------- 43=________________
Log(51000 + 44700)
15F-44(1.09)3 + (21.4 – 20.1)0.329


15F-45.(deg) sin 90° x
(6.05)
+ cos
(11.6)
---------------------------------------- 44=________________
{111° – 60.3°} ----------------------- 45=________________
15F-46. A 14-in long beaded necklace costs $50 and is made using 4 mm
beads. If bead cost is proportional to the bead volume, what size beads
would be used to make a $100 necklace? --------------------------------------- 46=_____________mm
15F-47. An odd correlation is between the number of murders in the US
annually and the percent market share of Microsoft’s Internet Explorer.
From 2007-2011, the (murders, market share) values are (17000, 82%),
(16900, 78%), (16400, 70%), (15400, 60%), (14800, 45%) and
(14600, 30%). That is the correlation coefficient? ----------------------------- 47=________________
15F-48. (rad) What is f if fsin(f)-cos(f) = 1.1f, and f is greater than 2? ------ 48=________________
15F-49.
CYLINDER WITH CONICAL CAVITIES
15F-50.
FRUSTUM
Volume = ?
Volume = 99,600
15F-49 =______________
15F-50 =______________
Page 15F-6
+(0.31)
---- 51=________________
15F-52.
(0.895)(0.59)
(–1.82 – 0.577) e
–( – 3.33)
e
15F-53.
Log{0.0791 + (0.415)(0.207)}
------------------------------------- 53=________________
4.4 – Log{(93.5)/(0.0231)}
15F-54.
1
(0.949 – 0.622)
+ (0.107 + 0.501)
--------------- 54=________________
(–0.431)
15F-55.(rad)
arcsin
+
[10(0.564/0.22) – 10(1.34)]1/2
10
(0.179)
+ 10
–(0.741)
15F-51.
------------------------------------- 52=________________
{(0.00928)(–0.00864)/(–1.79x10–4)}
–7.01x10–7 + (–0.00658)(1.80x10–4)
---------------- 55=________________
15F-56. (rad) What is positive x closest to zero if the slope of the curve
y = 5sin(x) equals x? ------------------------------------------------------------- 56=________________
15F-57. A cone is constructed such that the sum of the height h and
diameter D is constant. What is the value of h/D that maximizes the cone
volume? ---------------------------------------------------------------------------- 57=________________
54 f 
 12 56 
15F-58. What is negative f if G = 
, H = 
 and
 f 18
 31 50 
Det(GH) = 4500? ----------------------------------------------------------------- 58=________________
15F-59.
15F-60.
TWO IDENTICAL SQUARES, ONE ROTATED 45
Total Area = 4040
15F-59 =______________
15F-60 =______________
Page 15F-7
(7.76)
(8.23)
15F-61.
Log(5.27) + Log(8.23) + Log(2.3) + Log
15F-62.
(rad) sin(3.9)cos(5.05) – cos(3.9)sin(5.05) ------------------------- 62=________________
15F-63.
(deg)
15F-64.
–
15F-65.
{cos2(84.2°) – sin2(84.2°)} x
tan(84.2°)
------------ 63=________________
1 – tan2(84.2°)
1
1
1
1
+
–
+
3
5
(8.7)
3(8.7)
5(8.7)
7(8.7)7
1
2
(57.5) – (2460)
 (218) –
Ln 
(218) +
----------------- 61=________________
------------------------ 64=________________

(57.5)2 – (2460) 


(57.5)2 – (2460) 
----------- 65=________________
15F-66. A trapeze artist swings from one 25-ft long trapeze (or swing) to
another trapeze. She releases one trapeze at a 25° angle relative to the
vertical. She flies through the air, catching the other trapeze 15 ft away at
the same elevation. What was her release velocity? --------------------------- 66=_____________fps
15F-67. A “square” of roofing shingles covers 100 sq. ft of roof. How many
squares are needed to roof a simple, A-frame house that is 60 ft wide by
75 ft long? Assume the roof is sloped at 14 relative to the horizontal, the
eaves overhang the house by 2 ft all the way round its periphery, and that
5% extra must be purchased to account for trimming loss. -------------------- 67=__________integer
15F-68. The volume of the Hell’s Canyon is estimated to be 150 cubic miles.
If this volume were spread uniformly over the entire surface of the earth,
how thick would the added layer be? --------------------------------------------- 68=______________in
15F-69.
HEMISPHERES
Total Surface Area = 4,200
15F-69 =______________
15F-70.
SEMICIRCLE AND ISOSCELES TRAPEZOID
Hatched Area = 1.69
>1 rad
15F-70 =______________
15F-1
15F-2
= -0.00806
= -8.06x10-3
15F-11
= -438
15F-12
= -21100
= -69000
15F-13
= -165
15F-14
= 46.3
15F-15
=7
integer
15F-8
= 1.67
= 1.67x100
15F-9
= 14.8
15F-16
15F-18
15F-24
= 1.62x109
15F-25
= 1.30
= 1.30x100
15F-26
= $1.36
15F-27
= 271
= 2.80
= 566,000
= 5.66x105
= 2.71x102
15F-28
= 4.70x10-1
= 4.58
= 4.58x100
= 0.470
15F-29
= 302
= 3.02x102
15F-19
= 1110
= 1.11x103
= 15.6
= 1.56x101
= 294
= 2.94x102
= 1900
= 1.90x103
15F-10
15F-23
= -6.49
= 2.80x100
15F-17
= 0.234
= 2.34x10-1
= -6.49x100
= 4.63x101
15F-7
= -0.134
= 1.48x101
= -1.65x102
15F-6
15F-22
= -1.34x10-1
= -6.90x104
15F-5
= 41.6
= 0.119
= 1.19x10-1
= 4.16x101
= -2.11x104
15F-4
15F-21
= -3.52x101
= -4.38x102
15F-3
= -35.2
15F-20
= 53.8
= 5.38x101
15F-30
= 3320
= 3.32x103
= 2.46
15F-34
= -3.2
15F-36
15F-40
15F-39
= 1.00x101
= 10.0
= 3.62x101
= 36.2
= 7.24x100
= 7.24
15F-38
= 2.30x101
= 23.0
15F-37
= -3.2x100 (2SD)
= 4.29x10-17
15F-35
= 2.46x100
= 1.22x10-6
= -1.24x102
= -124
= 3.02x100
= 3.02
15F-33
15F-32
15F-31
15F-50
15F-49
15F-48
15F-47
15F-46
15F-45
15F-44
= -1570
15F-43
= 7.72x1010
= 4.41x101
= 44.1
= 2.12x100
= 2.12
= 9.66x10-1
= 0.966
= 5.66x100
= 5.66
= 1.36x100
= 1.36
= 2.39x100
= 2.39
= -1.57x103
= 1.77x10-5
= 1.58x100
= 1.58
15F-42
15F-41
15F-60
15F-59
15F-58
15F-57
15F-56
15F-55
15F-54
15F-53
15F-52
15F-51
= 5.87x101
= 58.7
= 1.00x100
= 1.00
= -3.12x101
= -31.2
= 5.00x10-1
= 0.500
= 1.31x100
= 1.31
= -2.46x105
= -246000
= 1.33x100
= 1.33
= -9.87x10-1
= -0.987
= -3.37x100
= -3.37
= 2.08x101
= 20.8
15F-70
15F-69
15F-68
15F-67
15F-66
15F-65
15F-64
15F-63
15F-62
15F-61
integer
= 1.17x100
= 1.17
= 4.09x101
= 40.9
= 4.82x10-2
= 0.0482
= 55
= 2.51x101
= 25.1
= -0.00923
= -9.23x10-3
= -1.14x10-1
= -0.114
= 1.01x10-1
= 0.101
= -9.13x10-1
= -0.913
= 1.97x100
= 1.97
Name
Tie Breaker: Points
scored on Stated and
Geometry Problems
+
+
+
5x(Last Problem Attempted) +
7x(Number Incorrect)
2x(Number Incorrect SDs)
TOTAL SCORE
+
-
+
-
UIL Calculator
Applications
Test 15G
(District Week 2)
DO NOT OPEN THE TEST UNTIL INSTRUCTED TO BEGIN
I.
II.
Calculator Applications rules and scoring—See UIL Constitution
How to write the answers
A.
For all problems except stated problems as noted below—write
three significant digits.
1.
Examples (* means correct but not recommended)
Correct:
12.3, 123, 123.*, 1.23x10*, 1.23x100*
1.23x101, 1.23x1001, .0190, 0.0190, 1.90x10-2
Incorrect: 12.30, 123.0, 1.23(10)2, 1.23.102, 1.230x102,
1.23*102, 0.19, 1.9x10-2, 19.0x10-3, 1.90E-02
2.
Plus or minus one digit error in the third significant digit is
permitted.
B. For stated problems
1.
Except for integer, dollar sign, and significant digit
problems, as detailed below, answers to stated problems
should be written with three significant digits.
2.
Integer problems are indicated by (integer) in the answer
blank. Integer problems answers must be exact, no plus or
minus one digit, no decimal point or scientific notation.
3.
Dollar sign ($) problems should be answered to the exact
cent, but plus or minus one cent error is permitted. Answers
must be in fixed notation. The decimal point and cents are
required for exact-dollar answers.
4.
Significant digit problems are indicated by underlined
numbers and by (SD) in the answer blank. See the UIL
Constitution and Contest Manual for details.
III. Some symbols used on the test
A.
Angle measure: rad means radians; deg means degrees.
B.
Inverse trigonometric functions: arcsin for inverse sine, etc.
C.
Special numbers:  for 3.14159 ...; e for 2.71828 ...
D.
Logarithms: Log means common (base 10); Ln means natural
(base e); exp(u) means eu.
Page 15G-1
15G-1.
(–3.29 x 5.77) +  ----------------------------------------------------- 1=________________
15G-2.
(6.39 – )/(2.33) + 1.83 ----------------------------------------------- 2=________________
15G-3.
(–0.0336 + 0.0816 – 0.0149)/(0.333) + 0.0593 -------------------- 3=________________
15G-4.
{(36.8 – 10.8 + 29)(4.61)(–7.95)} – 630 ---------------------------- 4=________________
15G-5.
(–0.0048 – 0.00414)(–89.8)
– (7.43 – 2.95) ------------------------ 5=________________
{(–20.6)/(–80.2)}
15G-6. What is x if the square root of x equals 28 divided by twice the
square root of x? ------------------------------------------------------------------- 6=________________
15G-7. What is 30% of the sum of the square root of 965 and the square
of 3.9? ------------------------------------------------------------------------------ 7=________________
15G-8. What is the area of floor covered by a 35 in by 96 in carpet? ---------- 8=______________ft2
15G-10.
15G-9.
CIRCLE
RIGHT TRAPEZOID
Area = 6.08
Area = 2.48x104
15G-9 =______________
15G-10 =______________
Page 15G-2
15G-11.
(–1.14x105 + 1.45x105)
(4100 + 2820)
+
----------------------- 11=________________
(2.71 – 1.22)
(0.499 – 0.581)
15G-12.
{–44 + (5.49)(–4.53)()}
(0.726 + 1.98)(–6.18)(5.54 + 4.53)
15G-13.
(–3.80x10–5 – 1.58x10–4){29300 + (–78.8)(–38.2)}
------------ 13=________________
(13.7)(–0.743 + 0.25)(–9.18)(41.9)
15G-14.
(14 + 8.93)(2.79 + 3.79)(54.7 – 57.9)
----------------------------- 14=________________
(6.15 + 2.73)(–7.92){()/(3.44)}
15G-15.
(25500 + 4110 – 13600)(0.374 – 0.266 – 0.547)
----------------- 15=________________
(0.0887)(0.00539)(0.0355)(8.53 +  + 18.4)
------------------------------- 12=________________
15G-16. An orange yields 5 tablespoons of juice. How many oranges
must be squeezed to make a 12 oz glass of juice? ------------------------------ 16=__________integer
15G-17. Assume that the average Calculator Applications test problem
requires 19 floating point operations (FLO). How long would it take a
Cray Titan supercomputer to solve all 35 numerical problems on a test if
its operating speed is 17.6x1015 FLO per second (FLOPS)? -------------------- 17=______________ns
15G-18. A vertical yard stick casts a shadow that is 1 ft 1.4 in long.
How tall is a tree that casts a shadow 18 ft 7.2 in long? ----------------------- 18=___________ft(SD)
15G-19.
RIGHT TRIANGLE
15G-19 =______________
15G-20.
RIGHT TRIANGLE
15G-20 =______________
Page 15G-3
15G-21.
1
1
1
+
+
-------------------------------- 21=________________
2.36 + 5.83
1.36 – 2.53
(3.18)
15G-22.
1
0.337 + 1/(2.65)
+
1/(1.18) + 4.08
()
15G-23.
(804)(0.0012)
---------------------------------------------- 22=________________
(–0.91)2/0.968 + 1/ 0.45 + 0.511
-------------- 23=________________
15G-24.
807 + 357 + (2390)/(2.78)
---------------------------------------- 24=________________
984 + 241
15G-25.
3.13 + 2.85 + 0.277/0.882

 -------------------------------------- 25=________________
–5.73 + 5.54


15G-26. What is the percent difference between the number of bird
species, 9,956, and amphibian species, 6,199? --------------------------------- 26=___________%(SD)
15G-27. If George invests $3000 at 4.5% interest compounded quarterly,
how much interest will be made after 5 yr? ------------------------------------- 27=$_______________
15G-28. What is the probability of being dealt 100 royal flushes in a row?
The probability of being dealt one royal flush is 1/649,740. -------------------- 28=________________
15G-30.
15G-29.
SPHERE
RECTANGULAR SOLID
Volume = ?
Total Surface Area = ?
15G-29 =______________
15G-30 =______________
Page 15G-4
15G-31.
8.69
1
1


x 
+
2
2
84 + 49.3
(6.32 + 4.38) 
(8.21 – 3.15)
1
2
15G-32.
1
+
0.00209
15G-33.
1/2
[1.06/(0.474 + 0.21) + 1/(0.679)]
----------------------------- 33=________________
2
(0.567 + 0.632) x 0.747 – (–0.606)
15G-34.
1/2
[(6.1 – 3.6)(0.764/0.908)]
---------------------------------- 34=________________
2
2
(1.17) + (0.152 + 1.01) + 1.17
1.03x10–5
2
15G-35.
(5.6 + 3.37)
 (489 + 752) 
+
(6.19 + 6.53 – 4.88)
1.03 – 0.982
----------- 31=________________
4.83x10–10 + 5.58x10–10
0.833
{(2.88)/()}2
----------------- 32=________________
+
--------------- 35=________________
15G-36. Shane Lechler holds the NFL record for punting distance with an
average of 47.29 yards per punt. Assuming the average punt angle was
45, what was Shane’s average hang time, the time the ball is in the air? ---- 36=_______________s
15G-37. A point light source is mounted in the middle of a 6-in
diameter, 8 –in tall cylindrical empty can with one open end. Neglecting
reflection and refraction, how high above a table must the bottom of the
can be to illuminate an area of 10 ft2? The can axis is vertical. ---------------- 37=_______________ft
15G-38. 5/8 teaspoon of chlorine dioxide treats one quart of water for
bacteria. How much chlorine dioxide is needed to make 2 gallons of treated
water? ------------------------------------------------------------------------------ 38=______________tsp
15G-39.
ISOSCELES TRIANGLE WITH INSCRIBED CIRCLE
15G-40.
PARALLELOGRAM
AB = 37.6
15G-39 =______________
15G-40 =______________
Page 15G-5
{7.18/4.85}
15G-41(32.2)(–95.1)10
----------------------------------------- 41=________________
+0.198
–0.351
e
+e
--------------------------------------------------- 42=________________
15G-42
(–0.783 + 0.854)
15G-43(0.913)Log
{(0.637)(0.205 + 1/0.995)} --------------------------- 43=________________
15G-44(550 + 4090)1/3 + 1/{(298)–0.212}

15G-45.(deg) sin 90° x

(7.56x10–5)
 + cos
(1.86x10–4)

------------------------------- 44=________________
{111° – 28.4°} --------------- 45=________________
15G-46. If 20 2-ft wide columns 18 ft tall support a bridge and cost a
total of $120,000, what will be the total cost if 30-in wide columns 18-ft
tall are used to support the bridge? Assume the columns have constant
cross sectional shape and that the total load bearing area is constant. -------- 46=$_______________
15G-47. A researcher attempted to make the case that annual US
highway fatalities (per 100,000 people) were tied to the annual number of
fresh lemons (metric tons, MT) imported from Mexico. Actual statistics
from 1996-2000 are (15.9, 230 MT), (15.7, 280 MT), (15.35, 360 MT),
(15.3, 440 MT) and (14.9, 525 MT). Calculate the correlation coefficient
for these data. --------------------------------------------------------------------- 47=________________
15G-48. (rad) For what negative value of d does 3dcos(3d) = 5d3? ---------- 48=________________
15G-49.
CUBE WITH THROUGH HOLE
Total Surface Area
a2
=7
15G-50.
CYLINDER WITH CONICAL CAVITY
Volume = 6970
a/d = ?
15G-49 =______________
15G-50 =______________
Page 15G-6
15G-51.
15G-52.
15G-53.
15G-54.
10
(0.982)
10
–(0.22)
x 10
+ 0.896
------------------------------------- 51=________________
(17.4 + 0.98)
(0.468)(1.46)
(0.00115 – 2.43x10–4) e
–(1.45 – 0.912)
e
---------------------------- 52=________________
{1/9.44x105}
Log{(2.32x105)/(6.69x105 + 8.43x105)}
(3.71x10–4 + 5.89x10–4) Log
–0.672
– (5.1)
–1.79x10–4 + 2.99x10–5
()
15G-55.(rad)
-------------------- 53=________________
0.216
------------------------------------------- 54=________________
arctan{1.49 + (1.52)(0.797)}
--------------------------------- 55=________________
arcsin{(0.571 + 0.156)/2.28}
15G-56. What is the area bounded by the x axis and the equations
y = 3x2 and y = -4x+7? ---------------------------------------------------------- 56=________________
15G-57. The feed velocity of a letter-sized paper shredder varies with the
number of sheets n being simultaneously fed according to v = (5-0.25n)
in/s. How many sheets should be fed at once to maximize the shred rate? --- 57=___________integer
 41 
16 


 
15G-58. For what value of K2 does L2 = 5 if K =  K 2  , M = 71 and
 61
26 
M = 2K + L? ----------------------------------------------------------------------- 58=_______________
15G-59.
15G-60.
Radians
ISOSCELES TRIANGLES
b/a = ?
Area(Large Triangle)
=6.29
Area (Small Triangle)
15G-59 =______________
15G-60 =______________
Page 15G-7
3
3
(2.74)(0.722) + Ln (10.8)
(10.8)


(6.46)
--------------------------------- 61=________________
15G-61.
Ln
15G-62.
(rad) sin(2.75)cos(4.42) – cos(2.75)sin(4.42) ---------------------- 62=________________
15G-63.
(rad)
15G-64.
(0.94)2
(0.94)3
(0.94)4
1 + (0.94) +
+
+
------------------------- 64=________________
2
6
24
15G-65.
(rad)
1
Ln{(2.91) + (–2.83)sin(1.11)}
(5040)(0.111)
------------- 63=________________
{(1.86) + (–7.76)e(–2.14)}
(–0.569)(1.71) – Ln
arcsin{(1.75)/(2.48 + 18.6)}
---------- 65=________________
15G-66. A target is dropped from a 2500 ft tall tower. A bullet is fired from
the ground straight up towards the falling target but with a time delay of t
seconds. If the bullet initial velocity was 1600 mph, what is t if the bullet
hits the target at an elevation of 1000 ft? --------------------------------------- 66=_______________s
15G-67. What is the weight of a car if its mass is 95 slugs? A 1-slug object
is accelerated by 1 ft/s2 when 1 lb (force) is applied. -------------------------- 67=______________lbs
15G-68. A cube of aluminum weighs 120 lbs and rests on a table. The cube
is pushed which causes it to rotate with one edge always in contact with the
table, eventually flipping it onto an adjacent face. How much energy must
be applied to accomplish this? Energy is the product of the cube weight and
the change in the vertical distance of its centroid which is the center of the
cube. The density of aluminum is 2.86 g/cm3. -------------------------------- 68=____________ftlbs
15G-70.
15G-69.
CIRCLE AND SEGMENT
FRUSTUM AND CONE
Total Volume
= 3980
Hatched Area = 105
15G-69 =______________
15G-70 =______________
15G-1
= -15.8
15G-11
= -1.58x101
15G-2
= 3.22
= 0.159
15G-12
= -2650
15G-13
15G-14
= -2.65x103
15G-5
= -1.35
= -1.35x100
15G-6
15G-8
15G-23
= 7.52
15G-24
15G-15
= -1.38x107
15G-16
=5
15G-18
= 2.33x101
15G-19
= 3.67x10-2
15G-25
= 0.0000378
= 3.78x10-5
= -37.74
= -3.774x101 (4SD)
15G-27
= $752.25
15G-28
= 5.32x10-582
15G-29
= 660
= 50.0
= 0.769
= 6.60x102
= 1.39
= 1.39x100
15G-10
= 1190
= 1.19x103
= 7.69x10-1
15G-9
= 0.0367
integer
= 5.00x101 (3SD)
= 23.3
= 1.91
= 1.91x100
15G-26
15G-17
= 0.463
= 4.63x10-1
= 7.52x100
= 13.9
= 1.39x101
15G-22
= -0.00244
= -2.44x10-3
= 14.0
= 1.40x101
15G-7
= 0.725
= -0.418
= -4.18x10-1
= 7.25x10-1
= 1.59x10-1
15G-4
15G-21
= -6.36x104
= 3.22x100
15G-3
= -63600
= 182
= 1.82x102
15G-20
= 7.92
= 7.92x100
15G-30
= 47.7
= 4.77x101
= 3.55x101
= 35.5
15G-40
= 3.19x10-1
= 0.319
= 4.98x100
= 4.98
= 2.05x100
= 2.05
15G-39
15G-38
15G-37
= 2.97
15G-36
= 2.97x100
= 0.000102
= 1.02x10-4
= 3.73x10-1
= 0.373
= 1.04x100
= 1.04
= 1.07x103
= 1070
= 4.15x10-2
= 0.0415
15G-35
15G-34
15G-33
15G-32
15G-31
15G-50
15G-49
15G-48
15G-47
15G-46
15G-45
15G-44
15G-43
15G-42
15G-41
= 2.70x101
= 27.0
= 2.52x100
= 2.52
= -4.23x10-1
= -0.423
= -9.81x10-1
= -0.981
= $121,875.00
= 7.25x10-1
= 0.725
= 2.00x101
= 20.0
= -1.03x10-1
= -0.103
= 2.71x101
= 27.1
= -9.26x104
= -92600
15G-60
15G-59
15G-58
15G-57
15G-56
15G-55
15G-54
15G-53
15G-52
15G-51
integer
= 1.66x100
= 1.66
= 3.25x100
= 3.25
= 3.30x101
= 33.0
= 10
= 2.13x100
= 2.13
= 3.75x100
= 3.75
= -6.34x103
= -6340
= 0.00705
= 7.05x10-3
= 0.00308
= 3.08x10-3
= 2.78x10-18
15G-70
15G-69
15G-68
15G-67
15G-66
15G-65
15G-64
15G-63
15G-62
15G-61
= 1.67x101
= 16.7
= 4.58x100
= 4.58
= 2.18x101
= 21.8
= 3.06x103
= 3060
= 9.23x100
= 9.23
= -1.11x101
= -11.1
= 2.55x100
= 2.55
= -0.00175
= -1.75x10-3
= -9.95x10-1
= -0.995
= -3.55x100
= -3.55
Name
Tie Breaker: Points
scored on Stated and
Geometry Problems
+
+
+
5x(Last Problem Attempted) +
7x(Number Incorrect)
2x(Number Incorrect SDs)
TOTAL SCORE
+
-
+
-
UIL Calculator
Applications
Test 15H
(Region)
DO NOT OPEN THE TEST UNTIL INSTRUCTED TO BEGIN
I.
II.
Calculator Applications rules and scoring—See UIL Constitution
How to write the answers
A.
For all problems except stated problems as noted below—write
three significant digits.
1.
Examples (* means correct but not recommended)
Correct:
12.3, 123, 123.*, 1.23x10*, 1.23x100*
1.23x101, 1.23x1001, .0190, 0.0190, 1.90x10-2
Incorrect: 12.30, 123.0, 1.23(10)2, 1.23.102, 1.230x102,
1.23*102, 0.19, 1.9x10-2, 19.0x10-3, 1.90E-02
2.
Plus or minus one digit error in the third significant digit is
permitted.
B. For stated problems
1.
Except for integer, dollar sign, and significant digit
problems, as detailed below, answers to stated problems
should be written with three significant digits.
2.
Integer problems are indicated by (integer) in the answer
blank. Integer problems answers must be exact, no plus or
minus one digit, no decimal point or scientific notation.
3.
Dollar sign ($) problems should be answered to the exact
cent, but plus or minus one cent error is permitted. Answers
must be in fixed notation. The decimal point and cents are
required for exact-dollar answers.
4.
Significant digit problems are indicated by underlined
numbers and by (SD) in the answer blank. See the UIL
Constitution and Contest Manual for details.
III. Some symbols used on the test
A.
Angle measure: rad means radians; deg means degrees.
B.
Inverse trigonometric functions: arcsin for inverse sine, etc.
C.
Special numbers:  for 3.14159 ...; e for 2.71828 ...
D.
Logarithms: Log means common (base 10); Ln means natural
(base e); exp(u) means eu.
Page 15H-1
15H-1.
(–0.582 + 0.661) x 0.669 --------------------------------------------- 1=________________
15H-2.
(–5.17 + 3.28) x (4.82) – 11.9 ---------------------------------------- 2=________________
15H-3.
(–5.25)(3.99)(2.32)
+ 5.16 ------------------------------------------- 3=________________
–6.13
15H-4.
(–0.0413)(0.0981 – 0.0705 + 0.0794)
------------------------------- 4=________________
(0.0358)(–0.0222)
15H-5.
(–0.00362 – 0.0031)(–0.759)
– (–0.0368 – 0.0316)
{(–0.533)/(0.522)}
--------------- 5=________________
15H-6. What is the sum of 54, 91 and 22? --------------------------------------- 6=___________integer
15H-7. What positive number is 6 times larger than its reciprocal? ------------ 7=________________
15H-8. A 4 ft by 8 ft sheet of ¼ in thick plywood costs $21.62. What is
the cost of plywood on a volume basis? ------------------------------------------ 8=____________$/in3
15H-9.
SQUARE
15H-10.
PARALLELOGRAM
Perimeter = 55.3
Area = 1530
Area = ?
15H-9 =______________
15H-10 =______________
Page 15H-2
15H-11.
(–0.919 + 0.48)(0.95 – 0.232 + 1.19)
(0.213)(0.184) – 0.199
15H-12.
970 + 397
+ (902 + 1190)(424 – 310) -------------- 12=________________
(0.539)(1.29)(0.00397)
15H-13.
(–9.95x10–5 – 1.42x10–4){9840 + (–64.9)(–23.1)}
(19.4)(–0.625 + 0.402)(–73.7)(–70)
15H-14.
242 + 128 – 131 (1.33x105)(4.90x10–4 + 1.04x10–4)
–
0.926 + 0.168 – 0.875
(0.861)(0.754)
15H-15.
(52100 + 41800 – 47000)(0.299 – 0.183 – 1.35)
----------------- 15=________________
(1.76)(7.76)()(2.85 + 1.61 + 7.9)
----------------------------- 11=________________
------------- 13=________________
-------- 14=________________
15-H-16. How many palms are in a hand, if a palm is 3 in and a hand is
4 in?--------------------------------------------------------------------------------- 16=________________
15H-17. What is the percent error in the approximation,
1-1/3+1/5-1/7+1/9, for /4? ----------------------------------------------------- 17=_______________%
15H-18. Henry has 26 coins with no coin valued above a dime. The
number of dimes and pennies equals the number of nickels. How much
money does he have if he has 3 more pennies than dimes? ------------------- 18=$_______________
15H-19.
15H-20.
RIGHT TRIANGLE
RIGHT TRIANGLE
Area = 0.270
15H-19 =______________
15H-20 =______________
Page 15H-3
2
15H-21.
(0.161)(0.431) + 0.0068 +
–7.49


15H-22.
–0.172 + 1/()
1
+
(–18.5)
1/(0.292) + 9
15H-23.
[–45.4 +
15H-24.
15H-25.
9.59x10–12 --------------------- 21=________________
------------------------------------------- 22=________________
2
890] x [359 + 542]2 x
0.205 + 0.0665 + (0.0295)/(0.148)
–0.958 + 0.283
0.0658/0.0452 ------------- 23=________________
------------------------------ 24=________________
3.13 + 2.55 + 0.614/0.4832

 ------------------------------------- 25=________________
8.98 + 3.78


15H-26. Grace drives from Glen Rose to Natchez, making two 25 min
stops for gas and a 45 min stop for lunch. The total trip duration was
8.52 hr. What was her average speed if Natchez is 450 mi from Glen
Rose? ------------------------------------------------------------------------------- 26=_________mph(SD)
15H-27. What is the volume of the earth? --------------------------------------- 27=_____________mi3
15H-28. A Hostess cupcake is shaped like a frustum, with diameters,
2.0 in and 2.6 in, and height 1.4 in. If a two-pack weighs 3.17 oz, what
is the average density of a Hostess cupcake? ----------------------------------- 28=__________g/cm3
15H-30.
15H-29.
CYLINDER
SPHERE
Lateral Surface
Area = 2040
Total Surface Area = 595
15H-29 =______________
15H-30 =______________
Page 15H-4
15H-31.
15H-32.
1/(301 – 281)
(119)(1.14 + 0.944)
2
2
+ (1.9) (0.00211) ------------------- 31=________________
1
1.71
1

 ------------- 32=________________
x 
+

2
2
28.4 + 10.9
(11.2 + 4.85) 
( – 1.64)
15H-33.
1/2
[45.2/(0.5 + 0.963) + 1/(0.0174)]
2
(1.83 + 3.08) x 15.2 – (7.93)
15H-34.
(0.00366)/ (0.0025)/ 5.42x10–4
0.0921 + (0.644)(1.81)
15H-35.
{
}
----------------------------- 33=________________
+
1/2
{0.0078 + 0.0219}
(–9.18x105 + 3.47x105)2

 +
(847 + 921)


4.72x109 + 8.73x109
0.395
2
(8.50x105)/(9.65x105)
{
}
34=______________
------- 35=________________
15H-36. A bazooka fires a projectile at 180 mph. At what angle greater
than 45 should the bazooka be positioned relative to the ground to hit a
target 0.34 mi away? ------------------------------------------------------------- 36=_____________deg
15H-37. For a catalytic reaction to occur, the chemicals must be exposed
to 1 m2 of catalyst surface. A 1 in3 block of catalyst is ground to powder.
Assuming no material loss and spherical particles, what average particle
diameter is needed? -------------------------------------------------------------- 37=_____________m
15H-38. In June of 2013, it was estimated that there were 19,000
Makerbot 3D printers sold. If the market growth of Makerbots is
79.1%/year, in what year were only 100 sold? ---------------------------------- 38=__________integer
15H-39.
EQUILATERAL TRIANGLE WITH
CIRCUMSCRIBED CIRCLE
15H-40.
15H-39 =______________
15H-40 =______________
SCALENE TRIANGLE
Page 15H-5
15H-41
15H-42
10
–(2.13 – 8.31)
–1.91x10–5 + 1.04x10–5
+0.877
e
+e
-------------------------------------------- 41=________________
–0.843
(–4.85x10–6 + 6.40x10–7)
15H-43(–0.357)Log
------------------------------------------ 42=________________
{(2.53)(0.957 + 1/0.451)} --------------------------- 43=________________
15H-44(4.71)3 + (22.6 – 5.23)2.21
15H-45.(deg)
----------------------------------------- 44=________________
cos{(25.8°)/(6.11)}
--------------------------------------------- 45=________________
sin{157° – 690°}
15H-46. A small cardboard box weighs 3 oz empty and 5 lbs full. A large
cardboard box is made using the same cardboard feedstock. It must hold
25 lbs of material. How much does the large cardboard box weigh
empty? ----------------------------------------------------------------------------- 46=______________lbs
15H-47. Air pressure decreases with increasing altitude. Measurements
were (6,560 ft, 12.39 psi), (13,120 ft, 9.30 psi), (19,680 ft, 7.28 psi) and
(26,240 ft, 5.42 psi). Estimate the air pressure at sea level. ------------------ 47=_____________psi
15H-48. (rad) What is y if sin(y) = ln(2y)? ------------------------------------- 48=_______________
15H-50.
15H-49.
HEMISPHERE AND FRUSTUM
Volume(Frustum) = Volume(Hemisphere) = 677
15H-49 =______________
CYLINDER AND CONE
Volume(Cone) = Volume(Cylinder)/12
15H-50 =______________
Page 15H-6
15H-51.
–(7.54 – 4.53)
(–2.69x106) 10
–1.48x106 + 4.86x105
15H-52.
(0.521 + 0.49)
2.32 + e
–(0.464 – 0.383)
0.449 – e
15H-53.
(3.28) Log(–5.75 + 7.98)
---------------------------------------- 53=________________
Log(0.326) – (0.456)(0.849)
15H-54.
–0.831
(359 - 207)
------------------------------------------------ 54=________________
–(0.97 + 0.722)
(781)
15H-55.(rad)
-------------------------------------- 51=________________
------------------------------------------ 52=________________
arctan{1.32 + (7.56)(0.103)}
--------------------------------- 55=________________
arcsin{(390 + 89.7)/1470}
15H-56. (rad) What is the area bounded by the x axis and the function
y = 2sin(3x) for 0 x1/3? ------------------------------------------------------ 56=________________
15H-57. The rate at which weeds infest a lawn is proportional to the
amount of uninfested lawn remaining. If weeds start taking over a halfacre lot with an initial infestation rate of 200 ft2/day, how long will it take
for weeds to take over 90% of the lawn? ---------------------------------------- 57=______________dy
83  5 32


15H-58. What is q if Det  2 18 q  = 100? ---------------------------------- 58=________________
 0 43 5 
15H-59.
Radians
15H-60.
SEMICIRCLE WITH SQUARE EXTENSION
AB = 0.536
15H-59 =______________
Hatched Area = ?
15H-60 =______________
Page 15H-7
15H-61.
(100.211) x 10{(9.67)(0.932)}3

 --------------------------------- 61=________________


0.668
(0.713)10


15H-62.
Log[(6.3)(0.915)]
(2.91)10
+
15H-63.
(rad)
15H-64.
15H-65.
1
(0.1)
{(365)(0.926)}
98.2
6(0.00702)
1/2
{(7.13) + (6.45)sin(–8.76)}5
+
1
3(0.1)3
+
1
5(0.1)5
+
1
7(0.1)7
----------------- 62=________________
------------------ 63=________________
-------------------------- 64=________________
(–0.0902)2 + (0.00796)
(0.66)
(0.528)
 --------------- 65=________________
–
Ln 
(–0.373) (–0.918)2
 (–0.138) + 0.0859 
15H-66. A motorcycle dare devil rides his motorcycle up a 25 ramp at
65 mph. The ramp was built using 12 sheets of 8-ft long plywood. What is
the horizontal distance from the end of the ramp to the spot on the ground
where the dare devil lands? ------------------------------------------------------- 66=_______________ft
15H-67. A 55-gal saltwater fish tank is prepared by adding 1/2 cup of salt to
each gallon of fresh water. Over time, 5 gallons of pure water (no salt)
evaporated from the tank. To replenish the tank, an additional 12 gallons of
saltwater was removed. How many cups of salt should be mixed with fresh
water to make up the 17 gallons needed to restore the salt concentration of
the tank to the proper level? ----------------------------------------------------- 67=____________cups
15H-68. Electric rail guns accelerate objects at incredible rates. A 100-g
armature is accelerated horizontally from rest to 1.2 km/s over a 2-meter
distance. How much energy is necessary to accomplish this? Energy is the
product of the applied force and the distance traveled. ------------------------- 68=______________kJ
15H-69.
INFINITE NUMBER OF EQUILATERAL TRIANGLES
15H-70.
CONGRUENT CONES, ONE OF WHICH IS
TRUNCATED
Total Area = 60.8
Total Volume = ?
15H-69 =______________
15H-70 =______________
15H-1
= 0.0529
15H-11
= 5.29x10-2
15H-2
= -21.0
= 5.24x100
15H-12
= -2.10x101
15H-3
= 13.1
15H-13
= 5.56
15H-14
= 5.56x100
15H-5
= 0.0634
= 167
integer
= 9.17x10-6
15H-22
= -0.0423
= 734000
= 0.000123
= 1.23x10-4
= -4.23x10-2
15H-15
= 2.37x108
15H-24
= -1.02
= -1.02x100
15H-25
15H-26
= 53 or 65
= 6.5x101 (2SD)
15H-27
= 2.60x1011
15H-28
= 0.469
= 1.33
= 1.33x100
15H-7
= 2.45
= 2.45x100
15H-17
= 6.31
= 6.31x100
15H-8
= 4.69x10-1
= 0.0188
= 1.88x10-2
15H-18
= $1.23
15H-29
15H-9
= 191
15H-19
= 1.91x102
= 31.4
= 3.14x101
= 13.8
= 1.38x101
= 5.26
= 5.26x100
15H-30
15H-10
= 0.285
= 2.85x10-1
= -109
= -1.09x102
15H-16
15H-23
= 7.41
= 7.41x100
= 6.34x10-2
15H-6
15H-21
= 7.34x105
= 1.31x101
15H-4
= 5.24
15H-20
= 0.745
= 7.45x10-1
= 17.3
= 1.73x101
15H-40
= 97.9
15H-39
integer
= 2.58x101
= 25.8
= 9.79x101
= 2004
= 9.83x101
= 98.3
= 6.20x101
= 62.0
= 3.23x105
= 323000
= 3.19x10-1
= 0.319
= 1.45x10-1
= 0.145
= 2.34x10-1
= 0.234
= 1.75x10-2
= 0.0175
15H-38
15H-37
15H-36
15H-35
15H-34
15H-33
15H-32
15H-31
15H-50
15H-49
15H-48
15H-47
15H-46
15H-45
15H-44
15H-43
= -673000
15H-42
= 1.15x101
= 11.5
= 6.49x100
= 6.49
= 1.32x100
= 1.32
= 1.43x101
= 14.3
= 5.62x10-1
= 0.562
= -8.18x100
= -8.18
= 6.54x102
= 654
= -3.23x10-1
= -0.323
= -6.73x105
= -1.74x1011
15H-41
15H-60
15H-59
15H-58
15H-57
15H-56
15H-55
15H-54
15H-53
15H-52
15H-51
= 1.23x10-2
= 0.0123
= 3.18x100
= 3.18
= 2.85x100
= 2.85
= 2.51x102
= 251
= 4.24x10-1
= 0.424
= 3.39x100
= 3.39
= 1.21x103
= 1210
= -1.31x100
= -1.31
= -1.07x101
= -10.7
= 0.00264
= 2.64x10-3
15H-70
15H-69
15H-68
15H-67
15H-66
15H-65
15H-64
15H-63
15H-62
15H-61
= 6.67x10-2
= 0.0667
= 9.38x100
= 9.38
= 7.20x101
= 72.0
= 6.60x100
= 6.60
= 2.83x102
= 283
= 3.59x10-1
= 0.359
= 1.45x106
= 7.24x105
= 724000
= 3.52x101
= 35.2
= 1.28x1026
Tie Breaker: Points
scored on Stated and
Geometry Problems
+
+
+
5x(Last Problem Attempted) +
7x(Number Incorrect)
2x(Number Incorrect SDs)
TOTAL SCORE
+
-
+
-
UIL Calculator
Applications
Test 15I
(State)
DO NOT OPEN THE TEST UNTIL INSTRUCTED TO BEGIN
I.
II.
Calculator Applications rules and scoring—See UIL Constitution
How to write the answers
A.
For all problems except stated problems as noted below—write
three significant digits.
1.
Examples (* means correct but not recommended)
Correct:
12.3, 123, 123.*, 1.23x10*, 1.23x100*
1.23x101, 1.23x1001, .0190, 0.0190, 1.90x10-2
Incorrect: 12.30, 123.0, 1.23(10)2, 1.23.102, 1.230x102,
1.23*102, 0.19, 1.9x10-2, 19.0x10-3, 1.90E-02
2.
Plus or minus one digit error in the third significant digit is
permitted.
B. For stated problems
1.
Except for integer, dollar sign, and significant digit
problems, as detailed below, answers to stated problems
should be written with three significant digits.
2.
Integer problems are indicated by (integer) in the answer
blank. Integer problems answers must be exact, no plus or
minus one digit, no decimal point or scientific notation.
3.
Dollar sign ($) problems should be answered to the exact
cent, but plus or minus one cent error is permitted. Answers
must be in fixed notation. The decimal point and cents are
required for exact-dollar answers.
4.
Significant digit problems are indicated by underlined
numbers and by (SD) in the answer blank. See the UIL
Constitution and Contest Manual for details.
III. Some symbols used on the test
A.
Angle measure: rad means radians; deg means degrees.
B.
Inverse trigonometric functions: arcsin for inverse sine, etc.
C.
Special numbers:  for 3.14159 ...; e for 2.71828 ...
D.
Logarithms: Log means common (base 10); Ln means natural
(base e); exp(u) means eu.
Page 15I-1
15I-1.
(–8.35/3.67) + 0.879 --------------------------------------------------- 1=________________
15I-2.
(3.27 x ) – (18.4 – 34.2) ---------------------------------------------- 2=________________
15I-3.
(9.83 – 8.73 + 14.2) x (–5.17) – 132 --------------------------------- 3=________________
15I-4.
{(3.78)(0.168 + 0.288 – 0.172)(–4.89)} + 1.79 --------------------- 4=________________
15I-5.
–35900 + 15000 – 15700 +
(–24400 + 20800)
(–0.86)(–0.153)
--------------------- 5=________________
15I-6. What is the sum of the number of letters in the alphabet and the
number of stars on a US flag? ----------------------------------------------------- 6=__________integer
15I-7. What is x if 10x equals 8.5? ----------------------------------------------- 7=________________
15I-8. What is the remainder of 397,456 divided by 187? ---------------------- 8=__________integer
15I-9.
15I-10.
CIRCLE
SQUARE
Circumference = 5200
Area = 8.19
15I-9 =______________
15I-10 =______________
Page 15I-2
15I-11.
(8.28)(5.8) + (6.88)(9.95)
------------------------------------------- 11=________________
–10.4 + 3.31 – ()(0.908)
15I-12.
–2.64x10–9
–565(1.23x10–5 + 6.41x10–6)
–
------------------ 12=________________
–0.471 – 0.067
(121 – 615)(345)
15I-13.
(–7.10x10–5 – 2.72x10–4){2040 + (–51)(–8.1)}
------------------ 13=________________
(25.2)(–0.506 + 0.481)(61.7)(18.1)
15I-14.
(3430 + 1440 – 1100)(0.00341 + 0.00786 – 0.00297)
------------ 14=________________
(4.24 – 3.81)(–8.73)(2.36 – )
15I-15.
(0.881 + 1.62)
–0.0508
(0.223)(515 – 354)
+
+
--------------- 15=________________
3.62 – 16.4
67.1 + 109
(–419)(0.979)
15I-16. A furnace heats at 25C/min and cools at 14C/min. How long
would it take to anneal a bar of steel for 91 min at 1200C, including the
heating and cooling time? Room temperature is 25C. ------------------------- 16=___________hr(SD)
15I-17. Water expands 4% when it freezes. Water is poured into a 12-oz
can such that the can is completely filled with ice when frozen. What is
the percent difference between 12 oz and the amount of water added? ------ 17=______________%
15I-18. How long would it take to fly a space ship 8000 parsecs to the
center of our galaxy, assuming it could fly at 70% of the speed of light?
The speed of light is 186,000 mi/s, and a parsec is 19 trillion miles. ---------- 18=___________years
15I-19.
15I-20.
RIGHT TRIANGLE
RIGHT TRIANGLE
Area = 0.00573
15I-19 =______________
15I-20 =______________
Page 15I-3
15I-21.
 2.5 – 2.02 (–0.0839)2

 ------------------------------------------ 21=________________
+
3.26 
 –4.53
15I-22.
(0.512)(0.1) + 0.00163 +





15I-23.
2
5.63x10–9 ------------------------- 22=________________
813 + 648 + (8.95x105)/(864)
------------------------------------ 23=________________
–492 + 448
15I-24.
 + 0.222 + 0.73/0.672


–9.01 + 3.1


15I-25.
(4.7)(3.77) +
------------------------------------------ 24=________________
(15.1)/(6.89) + [(0.429)(3.77)]2
----------------- 25=________________
15I-26. If boiling water converts 0.62 gal into steam per hour, how long
does it take the water level in a 7.5 in diameter saucepan of boiling water
to drop 1 in? ----------------------------------------------------------------------- 26=_____________min
15I-27. In a fundraising event, 250 people wrote their names on a slip of
paper and placed them in a hopper. An organizer then started drawing
single slips randomly to award prizes. If a person could only win one
prize, what is the probability of being the 18th name called? ------------------- 27=_______________
15I-28. One cup of thinner is added to 1 gal of thick paint to make a
paintable mixture. How much paintable mixture can be made if 1 gal of
thinner is used? ------------------------------------------------------------------- 28=______________gal
15I-29.
15I-30.
HEMISPHERE
RECTANGULAR SOLID
Total Surface Area = 4.35
Total Surface Area = 11.9
15I-29 =______________
15I-30 =______________
Page 15I-4
(1.53x10–5 + 2.41x10–5)
14.5 – 5.79
15I-31.
2
+
2.28x10–12
9.93x10–6 + 1.04x10–5
------- 31=________________
15I-32. 

–4.22x106
+ 3.55 x
1.11x106 + 6.95x105
15I-33.
1/2
[(8.2 – 7.01)(0.526/0.816)]
------------------------------------ 33=________________
2
2
(1.48) + (0.346 + 1.5) + 1.41
15I-34.
[0.0047/(0.342 + 0.379) + 1/(87.2)]
2
(73.8 + 76.5) x 143 – (80.6)


15I-35.

2
{2500 + (–56)2 –
32=________________
1/2
--------------------------- 34=________________
2.54x10–11 + 1.18x10–10
0.857
2
{(–5.87)/(8.39)}
(–3.96 + 0.611)
 (304 + 1050) 
}
1.21x107
+
------------ 35=________________
15I-36. Sammy puts $500 in the bank which pays 4.4% annual interest.
One year later, she deposits another $500. She does this three more
times. Five years after the initial deposit, how much money does Sammy
have? ------------------------------------------------------------------------------- 36=$_______________
15I-37. The probability of winning a lottery is 1 in 175 million. What is
the probability of winning the lottery ten times in a row? ---------------------- 37=________________
15I-38. 100,000 lbs of fine space debris land daily on the earth’s surface.
Assuming the debris is composed of spherical particles with 2 m diameter,
and the density is 7.9 g/cm3, how many particles land daily over 1 ft2? ------ 38=__________part/ft2
15I-40.
15I-39.
ISOSCELES TRIANGLE AND
CIRCUMSCRIBED CIRCLE
15I-39 =______________
RIGHT AND SCALENE TRIANGLE
15I-40 =______________
Page 15I-5
15I-4110
–{(0.916 – 0.987)/(0.924 + 0.182)}
15I-42–6740 e
15I-43
0.435
+ (–4420) e
–0.392
------------------------------ 41=________________
------------------------------------ 42=________________
Ln(0.00985 + 0.0122 – 0.00649)
------------------------------------- 43=________________
(0.0094)
15I-44(3.86 + 6.66)
15I-45.(deg)
–(0.328 + 0.901)
--------------------------------------- 44=________________
cos{(15.2°)/(6.07)}
---------------------------------------------- 45=________________
sin{106° – 154°}
15I-46. Material cost for a 8-in tall prototype of a sculpture is $850.
What is the material cost for the full-sized 35-in long sculpture? -------------- 46=$_______________
15I-47. The population of El Paso was measured every ten years between
1960 and 2010: 276,687; 339,615; 425,259; 515,342; 563,662;
649,121. Estimate the population of El Paso in 2015. ------------------------- 47=________________
15I-48. What is b if ln(10b) = log(eb)? ----------------------------------------- 48=________________
15I-49.
CYLINDER WITH HEMISPHERICAL CAVITIES
15I-50.
RECTANGULAR SOLID
AB = 56.1
Volume = ?
15I-49 =______________
AC = 55.3
BC = 72.9
Total Surface Area = ?
15I-50 =______________
Page 15I-6
+(0.526)
15I-52.
(4.49 + 2.31)
145 + e
------------------------------------------- 52=________________
–(0.637 – 0.621)
0.924 – e
15I-53.
Ln(0.00755)
Ln(0.00882 + 0.0516)
+
---------------------- 53=________________
0.00362
– 0.00334
–5
1.95x10
(0.776)
15I-55.(rad)
+
[10(0.661/0.556) – 10(1.18)]1/2
10
15I-54.
+ 10
–(0.98)
15I-51.
1
(0.531 – 0.772)
+ (0.995 + 0.547)
(–0.512)
arctan
--- 51=________________
--------------- 54=________________
(3630)(0.187) + (0.332)(1.03) ------------------------ 55=________________
 (4.6)(30.9) 
15I-56. Calculate the minimum value of y for the function
y = x4-500x3+2000x-40. --------------------------------------------------------- 56=________________
15I-57. Tom moves on a flat x-y coordinate system according to x = 3t
and y =4t-6 where t is time in seconds. Clancy moves on the same
coordinate system according to x = 2√t and y = 12-2t. At what time t do
Tom and Clancy move closest to each other? ----------------------------------- 57=_____________sec
65 7 
w 
15I-58. Solve for w if S = TU, S1 = 2310, T = 
 , and U =   . ---- 58=________________
34 22
43
15I-59.
15I-60.
RIGHT TRIANGLES AND QUARTER CIRCLE
Hatched Area = ?
15I-59 =______________
15I-60 =______________
Page 15I-7
[
15I-61.
Log (2.32)–1.38
15I-62.
(58.8)10
15I-63.
(deg)
15I-64.
1+
15I-65.
] + (9.83)Log[(2.32)(7.96)]
Log[(5.24)(0.488)]
1+
+
-------------------- 61=________________
{(24000)(0.926)}
1/2
-------------- 62=________________
cos(125°)2 x cos(–75.6°) ---------------------------- 63=________________
sin(–75.6°)
 sin(125°) 
(0.41)4 (0.41)6
(0.41)8 (0.41)10
–
+
–
------------------------ 64=________________
2
6
24
120
1
2
(27.9) – (740)
 (8.83) –
Ln 
(8.83) +
(27.9)2 – (740)
(27.9)2 – (740)



------------- 65=________________
15I-66. Brad left San Saba driving to Plainview, 318 mi away, at 55 mph.
Brandon left Plainview 45 min after Brad left, driving to San Saba on the
same highway. If they met in Snyder which is 121 mi from Plainview, what
was Brandon’s velocity? ----------------------------------------------------------- 66=____________mph
15I-67. The mass of the earth is 5.9742 × 1024 kg. What is the percent
error in calculating the mass based on an average density of 5.625 g/cm3? -- 67=__________%(SD)
15I-68. What is the closest approach of the line y = -4x+13 to the origin? --- 68=________________
15I-69.
TRUNCATED ISOSCELES TRIANGULAR PYRAMID
15I-70.
CYLINDER
C = Center
AB = 571
Volume = ?
15I-69 =______________
15I-70 =______________
BC = 339
15I-1
= -1.40
-1.40x100
=
15I-2
= 26.1
2.61x101
=
15I-3
= -211
-2.11x102
=
15I-4
= -3.46
-3.46x100
=
15I-5
= -64000
-6.40x104
=
15I-6
15I-7
= 76
integer
= 0.929
=
15I-8
9.29x10-1
= 81
integer
15I-11
= -11.7
15I-22
= 0.00120
= 1.20x10-3
15I-23
15I-13
15I-14
= 10.7
=
=
15I-15
= -0.284
=
15I-16
15I-17
=
=
=
15I-18
=
=
-2.84x10-1
3.7
= 3.7x100 (2SD)
=
-3.85
-3.85x100
37,000
3.70x104
1660
1.66x103
15I-19
=
=
15I-10
1.07x101
=
26.5
2.65x101
2.86
2.86x100
15I-20
=
=
0.168
1.68x10-1
= 0.0319
=
= 5.71x10-8
15I-12
=
15I-9
-1.17x101
=
15I-21
3.19x10-2
= 0.000396
= 3.96x10-4
= -1.14
=
15I-24
= 0.556
=
=
=
=
15I-27
=
=
15I-28
=
=
15I-29
=
=
15I-30
5.56x10-1
= 21.8
15I-25
15I-26
-1.14x100
=
=
2.18x101
18.5
1.85x101
0.00429
4.29x10-3
17.0
1.70x101
0.679
6.79x10-1
0.712
7.12x10-1
=
=
=
15I-36
15I-37
15I-38
=
=
=
15I-40
=
15I-39
=
= 3.79x10-5
15I-35
4.02x101
40.2
4.95x101
49.5
2.50x102
250
3.71x10-83
$2,850.01
= 7.52x10-7
1.25x10-1
= 0.125
15I-34
=
15I-33
2.61x103
= 2610
15I-32
=
= 1.03x10-9
15I-31
=
15I-47
=
=
=
=
15I-50
=
15I-49
=
15I-48
=
=
15I-46
=
15I-45
=
15I-44
=
15I-43
=
15I-42
=
15I-41
9.67x103
9670
0.00464
4.64x10-3
3.68x10-2
0.0368
6.87x105
687000
$71,179.20
-1.34x100
= -1.34
5.55x10-2
= 0.0555
-4.43x102
= -443
-1.34x104
= -13400
1.16x100
= 1.16
=
15I-57
=
=
=
=
15I-60
=
15I-59
=
15I-58
=
=
15I-56
=
15I-55
=
15I-54
=
15I-53
=
15I-52
=
15I-51
3.75x101
37.5
2.99x100
2.99
3.09x101
30.9
2.68x100
2.68
-6.59x109
1.71x100
= 1.71
1.78x100
= 1.78
-1.61x105
= -161000
-1.73x104
= -17300
4.02x100
= 4.02
=
=
=
=
=
15I-70
=
15I-69
=
15I-68
2.11x102
211
4.29x103
4290
3.15x100
3.15
2.1x100 (2SD)
2.1
4.27x101
42.7
-2.81x10-1
= -0.281
1.01x100
= 1.01
-3.13x10-1
= -0.313
2.99x102
2.81x101
= 28.1
= 299
=
=
15I-67
=
15I-66
=
15I-65
=
15I-64
=
15I-63
=
15I-62
=
15I-61