General Knowledge Math

General Knowledge Math
1. The length of a deck is 5 less than twice the width with a perimeter of 62 ft. What is the width of the deck
rounded to the nearest tenth?
a.
b.
c.
d.
12.0
12.3
12.8
13.1
22. A car salesman makes 30% commission off of all sales during the month. His base pay is $240 per month plus
what he makes on sales commission. Which of the following inequalities represents his pay at the end of the
month so that he makes no less than $640?
a.
b.
c.
d.
.3
.3
.3
.3
+ 240< 640
+ 240 > 640
+ 240≤ 640
+ 240≥ 640
33. Of the following, which number is greatest?
-12 ; -10 ; −
D -12
E -10
F −
; −√145
d.−√145
4. Put the following in order from least to greatest.
3
4 ; 30% ;
1
3 ; .8
a. 30% ; 1 3 ; .8; 3 4
b. 3 ; 30% ; 1 ; .8
4
3
c. 30%; 1 3 ; 3 4 ; .8
d. . 8; 3 4 ; 30% ; 1 3
5. A husband and wife share a cell phone plan where each is responsible for half of the bill. Every month the base
charge for service is $82. On top of the base pay are the data charges which each person is responsible for
individually. At the end of the month the total bill came to $120. If the husband is responsible for 60% of the
data charges, how much does he owe for the month?
a.
b.
c.
d.
$41.00
$38.00
$63.80
$79.80
6. Mrs. Kramer, a first grade teacher, keeps a treasure box full of treats for students who answer the daily trivia
question correctly. Today Mindy answered correctly and got to choose from the box which was filled with 3
mints and 4 cookies. What is the probability she picks a mint?
a. 3
b. 4
c. 4
d. 3
4
7
3
7
7. On a trip from Naples to Orlando a car travels 200 miles at a rate of 55mph. If the car gets 22mpg, how many
gallons of gas will be consumed in 5 hours?
a.
b.
c.
d.
7.5 gallons
10.0 gallons
12.5 gallons
14.0 gallons
8. A triangle has interior angle measurements of 20°, 50° and 110°. Classify the triangle.
a.
b.
c.
d.
Acute Scalene
Isosceles
Obtuse Scalene
Equilateral
9. If a textbook weighs 2 lbs. and notebooks weigh 4oz., what is the total weight of 5 notebooks and 5 textbooks?
a.
12 b. 12 c. 13 d. 13 10. An artist used a piece of wire that was 4ft. and 8in. long and bent it into a square. What is the area of the
square?
a.
b.
c.
d.
56
112
196
212
11. Mr. and Mrs. Morten have 5 children. The age of two kids is 5 and 5. The median age is 9 and the range of
ages is 7. Which is a possible age of the second to last oldest Morten child?
a.
b.
c.
d.
2
3
9
14
12. Cosmo is taking a trip from his house to the airport. If he drives 60mph he will arrive 1 hour early, if he drives
30mph he will arrive 1 hour late. What is the distance from the house to the airport?
a.
b.
c.
d.
60
120
180
240
13. You and some friends decide to play a game of Frisbee. Person A starts by throwing the Frisbee 3m forward.
Person B throws the Frisbee and a gust of wind take it 5m backwards. Person C throws the Frisbee 2m forward.
Finally Person D throws the disc up in the air and it travels 1m forward. Where is the Frisbee in relation to the
start?
a.
b.
c.
d.
-1
0
1
3
14. Dimitri is shipping two boxes. The first box has dimensions 2 x 8 x 6, the second box has dimensions 6 x 8 x
He puts both boxes into a third box which has dimensions of 12 x 12 x 12. How much empty space is left in
the third box?
a.
b.
c.
d.
576
872
1,152
1,728
15. In the office supply store it costs $24 for 16 pens. What proportion will find the cost for 21 pens?
a.
=
!
b.
2
c.
"
d.
!
!
=
!
"
"
=
=
"
16. Person 1 and person 2 have annual salaries of $24,000 and $24,000 respectively. At the end of the year they net
a gross income of $56,000. Any monies collected after their salary is the result of a return on investments.
What fraction of the year’s total income is from investments?
a. 1
b. 1
c. 6
d. 3
7
8
7
8
17. Company A is hiring for many positions, those of which are shown below in the salary chart. Given the
information, what would be the best measure of central tendency that Company A would advertise to make the
salary options look the best?
Salary/year
Positions
available
$15,000
1
$20, 000
4
$35,000
7
$100,000
1
$150,000
1
a. Mean
b. Median
c. Mode
18. The range of teacher salaries is $40,000 to $60,000. During negotiations the teacher’s union worked out a deal
where a flat raise of $1,000 to every teacher was agreed upon. Which of the following is true?
a.
b.
c.
d.
Mean, median salaries stays the same, standard deviation changes.
Mean, median salaries change, standard deviation stays the same.
Mean, median salaries change, standard deviation changes
Mean, median salaries stays the same, standard deviation stays the same.
19. In a bag there is 1 red marble, 1 yellow, 1 blue and 1 green. After making a selection the marble must stay out
of the bag. How many possibilities are there when making two choices, the first being a red marble?
a.
b.
c.
d.
2
3
4
5
20. Which of the following choices falls between 0 and 2?
a.
b.
c.
d.
−4.037× 10
4.037 × 10
−4.037× 10$
4.037× 10$ 21. Classify the following:
3 + 2% = 6
−2 + 3% = 12
a.
b.
c.
d.
Parallel
Perpendicular
Parallel and intersecting
Concurrent
22. Solve:
5 − 7 ≤ 2 − 10
a.
b.
c.
d.
x ≤1
x ≤−1
x ≥1
x ≥−1
23. Over the course of the school year in the JROTC class, Jenny logged the following totals of pull-ups: 2, 3, 22,
23, 23, 6, 8, 7, 9, 11 and 13. If she wanted to show the best looking result, which measure of central tendency
will she use?
a.
b.
c.
d.
Mean
Median
Mode
Range
24.
Solve:
|6 − 8| + 3 ÷ 3 × 4 − 2
a. 12
b. 16
c. 8
d. 1
8
25. In the coordinate plane, which of the following is a function?
a.
b.
c.
d.
Ellipse
Horizontal line
Circle
Vertical line
Baking Soda
Ammonia
Ants
5 minutes
5 minutes
Ticks
10 minutes
7 minutes
26. The chart shows the results from an experiment where baking soda and ammonia were used as remedies for ant
and tick bites. The time shown refers to when the pain subsided. According to the chart, which of the
following statements is true?
I.
II.
III.
IV.
a.
b.
c.
d.
Baking soda works better on ticks than ammonia.
Ammonia works better on ticks then baking soda.
Ammonia works better than baking soda on both ants and ticks.
If given the choice for the most effective remedy between the two, ammonia would be the best
option.
I only
I and III
II and IV
IV only
27.
Company A
Year
$ (millions)
1
3
3
7
5
11
7
15
Company B
Year
$ (millions)
1
2
2
4
3
6
4
8
The two charts above show two different companies, A and B, earnings over a period of time. Which of the
following statements is true?
a.
b.
c.
d.
Company A increased earnings $4 million per year
Company A’s yearly earnings were greater than Company B’s yearly earnings
Both companies had the same yearly earnings
Company B increased earnings $1 million per year
28. Bayside High School has a student population of 1400 with a teacher to student ratio of 1:35. How many more
teachers must the principal hire in order to make the ratio 1:20?
a.
b.
c.
d.
40
70
30
20
29. During a homework check you received the following problem. Which step, if any, did the student make a
mistake?
( − 1) − ( − 1)( + 1)
Step 1:
Step 2:
Step 3:
a.
b.
c.
d.
(
− 2 + 1) − (
− 2 + 1 −
−2
Step 1
Step 2
Step 3
No mistake was made
− 1)
−1
30. Use the information to write an equation
r
16
12
8
4
a.
g
12
9
6
3
* = +
b. b. * = 3 +
4
cc.
+ = *
d.
+ = +
31. Which of the following statements below is true?
a.
b.
c.
d.
4 = 3
5, × 8 > 27 + 7 = 7.
5 + 5/ = 5 ,
Answers
1. a
2. d
3. b
4. c
5. c
6. d
7. c
8. c
9. d
10.c
11.c
12.b
13.c
14.c
15.b
16.a
17.a
18.b
19.b
20.d
21.b
22.b
23.c
24.b
25.b
26.c
27.c
28.c
29.b
30.c
31.b