Math Summer Practice Grade 8 2012
Name:_______________________
Date:_______________________
______________________________________________________________________________
1
What are the next two terms in the pattern?
11, 18, 25, 32, . . .
A
B
C
D
2
Evaluate the expression.
A
B
C
D
3
25
40
46
61
Sonya is buying 5 CDs. Each CD costs $6.95. Which of the following is NOT an
expression for the total cost before tax?
A
B
C
D
4
42, 49
39, 46
38, 45
40, 48
5 $6
$0.95
$6.95 + $6.95 + $6.95 + $6.95 + $6.95
5
($6 + $0.95)
5 ($7 + $0.05)
Solve the equation using mental math.
A
B
C
D
22
8
105
9
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Page 1 of 35
Math Summer Practice Grade 8 2012
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5
Solve the proportion.
A
B
C
D
6
54
55
57
56
Mr. Logan’s class and Mrs. Jordan’s class kept records of the number of hours spent on
homework for four weeks. During which week was the difference in homework time the
greatest between the two classes?
A
B
C
D
Week 1
Week 2
Week 3
Week 4
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Math Summer Practice Grade 8 2012
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7
The graph compares the amount of electricity in kilowatt hours used by one household in
1998 and 1999. During which month was the difference in electricity usage between the
two years greatest?
A
B
C
D
8
February
April
March
October
Theo made the following table to show the number of middle-school students who
attended the last football game.
If this data were displayed in a circle graph, what percent of the graph would represent the
sixth graders?
A
B
C
D
45%
38%
55%
40%
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Math Summer Practice Grade 8 2012
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9
A bag contains 4 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble
without looking. Find the probability of selecting a white marble.
A
B
C
D
10
The test scores of the students in room 312 are listed.
80, 69, 65, 95, 78, 74, 72, 96, 62, 90, 94, 44, 75, 68, 71, 94
Jay was absent and took a makeup test. What was Jay’s score if the class mean was 76?
A
B
C
D
11
55
65
63
73
The graph below shows the market shares of various juice companies that sell orange
juice. What values are represented by the break symbol?
A
B
C
D
0% to 5.9%
2% to 8%
5% to 9%
0% to 3%
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Math Summer Practice Grade 8 2012
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12
A survey about the student-government program at a school finds the following results:
Opinion
Number of Students
Like the program
110
Dislike the program
120
No opinion
210
If you want to make a circle graph for the data, what would be the central-angle measure
of the section that represents students that dislike the program?
A
B
C
D
13
The probability of a basketball player missing a foul shot is given below.
What is the probability that the basketball player misses two foul shots out of three
attempts?
A
B
C
D
14
Find the GCF of 36, 60, and 96.
A
B
C
D
12
15
14
11
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Math Summer Practice Grade 8 2012
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15
Evaluate the expression for x = 3.
A
B
C
D
16
729
–81
81
–729
What is the number below expressed in scientific notation?
0.00000199
A
B
C
D
17
Find the value of z below.
A
B
C
D
18
26
13
42
6.5
The maximum speed of a jet (in meters per hour) is 106. The maximum speed of a
cockroach (in meters per hour) is 102.
a.
The maximum speed of the jet is how many times as fast as the maximum speed of
the cockroach?
b
.
What is the speed of the jet in kilometers per hour? (Hint: 1 km = 1000 m)
A
B
C
D
times as fast; 1,000 km/h
times as fast; 1,000 km/h
times as fast; 100 km/h
times as fast; 10,000 km/h
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Math Summer Practice Grade 8 2012
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19
Which rule correctly describes the translation of a point from (–4, –2) to (–1, –1) in arrow
notation?
A
B
C
D
20
Does the fractal below have reflectional symmetry? If so, how many lines of symmetry
does it have?
A
B
C
D
21
yes; one
yes; six
yes; three
no
Does the figure have rotational symmetry? If so, what is the angle of rotation?
A
B
C
D
yes;
yes;
yes;
no rotational symmetry
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Math Summer Practice Grade 8 2012
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22
The dashed figure is a dilation of the original figure. Find the scale factor. Classify the
dilation as an enlargement or a reduction.
A
23
B
C
scale factor , reduction
scale factor 4, enlargement
scale factor 3, enlargement
D
scale factor , reduction
Select the measure of the complement or supplement of the angle. If there is no
complement or supplement, select no complement or supplement.
55.1º
A
B
C
D
124.9
119.9
49.9
no complement or supplement
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Page 8 of 35
Math Summer Practice Grade 8 2012
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24
If a and b are parallel lines and the measure of angle 3 = 128º, what is the measure of
angle 8?
A
B
C
D
134º
52º
54º
49º
25
The triangles are congruent. Find the measure of angles B and C. If necessary, round your
answer to the nearest tenth.
Not drawn to scale
A
B
C
D
26
90
39
51
90
; 51
; 51
; 90
; 39
Classify the triangle with angles measuring 69º, 42º, and 69º.
A
B
C
D
right
equilateral
isosceles acute
isosceles obtuse
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Math Summer Practice Grade 8 2012
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27
Find the sum of the measures of the interior angles of a polygon with 9 sides.
A
B
C
D
28
Name the coordinates of point A in the graph.
A
B
C
D
29
(3, –5)
(–3, –5)
(–5, 3)
(–3, 5)
Determine which ordered pair is a solution of y = –3x + 5.
A
B
C
D
30
1,260
1,440
1,620
1,080
(9, –2)
(–5, 18)
(1, –6)
(–4, –9)
Find the first four terms of the sequence represented by the expression.
A
B
C
D
5, 8, 11, 14
8, 11, 14, 17
3, 6, 9, 12
0, 8, 11, 14
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Math Summer Practice Grade 8 2012
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31
A car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds. It maintains that speed for 5
seconds and then slows to a stop in 5 seconds. Which graph shows the car’s speed over
time?
A
B
C
D
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Page 11 of 35
Math Summer Practice Grade 8 2012
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32
Use the function rule f(x) = –x + 5. Find the output.
A
B
C
D
10
7
–10
3
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Math Summer Practice Grade 8 2012
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33
The data in the table are linear. Use the table to find the slope. Then match the data to its
graph.
x
0
2
4
6
y
–5
–2
1
4
;
A
;
B
;
C
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Math Summer Practice Grade 8 2012
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;
D
34
Find the slope of the line. Describe how one variable changes in relation to the other.
A
B
2; distance increases by 2 miles per hour
2; distance decreases by 2 miles per hour
C
; distance increases 1 mile every 2 hours
D
; distance decreases 1 mile every 2 hours
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Math Summer Practice Grade 8 2012
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35
Find the slope of the line.
A
B
C
D
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Math Summer Practice Grade 8 2012
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36
Match the linear function to its graph.
y = –2
A
B
C
D
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Math Summer Practice Grade 8 2012
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37
Mia charges $2.25 per hour when she baby-sits plus $5.00 for transportation expenses.
Which function rule represents the amount y Mia charges to baby-sit for x hours?
A
B
C
D
38
Which quadratic rule models the data in the table?
x
–1
0
1
2
3
y
4
5
4
1
–4
A
B
C
D
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Math Summer Practice Grade 8 2012
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39
Which is an obtuse angle?
A
B
C
D
40
On a math quiz, Magda correctly answered a question that asked for a typical measure of
orange juice in a full family-size jug. Which was her answer?
A
B
C
D
41
2 cups
1 gal
10 gal
10 fl oz
Choose an appropriate metric unit for the capacity.
water in a car-washing bucket
A
B
C
D
kiloliter
liter
milliliter
meter
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Math Summer Practice Grade 8 2012
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42
Megan wants to build a fence around her pool. The pool is 28 feet long by 23 feet wide.
The fence is to be 15 feet from the edge of the pool.
a. What are the outside dimensions of the area surrounding the pool?
b. How many feet of fencing will she need?
A
B
C
D
43
About how tall is a two-story building?
A
B
C
D
44
53 ft by 58 ft; 222 ft
222 ft by 53 ft; 58 ft
58 ft by 222 ft; 53 ft
58 ft by 53 ft; 222 ft
6 inches
6 feet
25 inches
20 feet
The radius of a circular hat is 3.7 inches. Find the circumference.
A
B
C
D
1.85 in.
23.236 in.
11.618 in.
22.2 in.
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Page 19 of 35
Math Summer Practice Grade 8 2012
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45
Find the area of the triangle.
A
B
C
D
46
Find the area of the circle where d = 43.8 mm. Round your answer to the nearest tenth.
A
B
C
D
47
137.6 mm
376.7 mm
1,506.7 mm
6,027.0 mm
A right cylinder has a radius of 6 m and a surface area of 84 m2. Find the surface area of a
similar cylinder with a radius of 2 m.
A
B
C
D
48
154 ft
58 ft
77 ft
38.5 ft
28 m
9.3 m
756 m
7m
What is 52.0178 expressed in words?
A
B
C
D
fifty-two and one hundred seventy-eight thousandths
fifty-two and one hundred seventy-eight ten-thousandths
fifty-two and one hundred seventy-eight hundredths
fifty-two and one hundred eighty-seven thousandths
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Page 20 of 35
Math Summer Practice Grade 8 2012
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49
Use <, >, or = to compare the numbers.
0.0046 ? 0.0454
A
B
C
50
Round 54,144,232 to the nearest thousand.
A
B
C
D
51
2.35
6
433
5.95
Simplify.
A
B
C
D
53
54,144,000
54,140,000
54,144,200
54,145,000
Simplify.
4.15 + 1.8
A
B
C
D
52
>
<
=
0.16254
0.016254
16.254
1.6254
Simplify.
A
B
C
D
0.06
0.00006
0.0006
0.006
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Page 21 of 35
Math Summer Practice Grade 8 2012
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54
What is the number expressed as an improper fraction?
A
B
C
D
55
The Star Ruby is the world’s largest ruby. Its measurements, in inches, are shown below.
How would these dimensions be written as improper fractions?
A
B
C
D
56
What is the fraction expressed as a mixed number?
A
26
B
C
D
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Math Summer Practice Grade 8 2012
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57
What is the fraction expressed as a percent? Round to the nearest hundredth is
necessary.
A
B
C
D
58
Which lists the following numbers from least to greatest?
A
0.67, 60%, ,
B
, , 60%, 0.67
C
, 60%, , 0.67
D
59
88.89%
1.13%
44.44%
66.67%
, 0.67,
, 60%
What is the percent expressed as a fraction in simplest form?
A
B
C
D
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Math Summer Practice Grade 8 2012
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60
Carrie and nine of her friends go out to dinner. The total bill comes to $191.10. They
decide to leave a 15% tip. Each person will contribute an equal amount to the total tip.
Estimate what each person should contribute.
A
B
C
D
61
62
$19.00
$28.50
$1.90
$2.85
Choose and solve the correct proportion to find the given percent of the number.
71% of 67
A
; 47.57
B
; 10.6
C
; 105.97
D
; 4.76
Choose the equation that models the situation and solve.
224 is 25% of what number?
A
B
C
D
63
; 560
; 896
; 56
; 90
Find the percent of decrease. Round to the nearest tenth of a percent if necessary.
57 to 19
A
B
C
D
38%
66.7%
200%
20%
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Math Summer Practice Grade 8 2012
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64
Find the percent of discount. Round to the nearest whole percent.
regular price: $120
sale price: $105.50
A
B
C
D
65
12%
1%
14%
15%
A savings account is set up so that the simple interest earned on the investment is moved
into a separate checking account at the end of each year. If an investment of $4,000
accumulates $1,700 of interest in the checking account after 5 years, what is the annual
simple interest rate on the savings account?
A
B
C
D
85%
4.25%
8.5%
34%
66
The circle graph above lists the music preferences of a random sample of radio listeners.
Find P(prefers country or alternative). Express the probability as a percent.
A
B
C
D
40%
60%
55%
30%
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Math Summer Practice Grade 8 2012
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67
What is the simplest form of the fraction using prime factorization
A
B
C
D
68
69
Match each point with one of the following rational numbers:
A
A=
B
A = –0.925; B = –0. ; C =
C
A = –0.925; B =
D
A=
; B = –0. ; C =
;B=
; D = –0.925
;D=
; C = –0. ; D =
; C = –0. ; D = –0.925
Simplify.
A
B
C
D
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Math Summer Practice Grade 8 2012
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70
Simplify.
A
B
3
C
3
D
71
Simplify.
A
B
C
D
72
Simplify.
A
B
C
D
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Page 27 of 35
Math Summer Practice Grade 8 2012
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73
Paul needs
yd of fabric to make a tablecloth. How many tablecloths can he make from
yd of fabric?
A
B
C
D
74
10 tablecloths
11 tablecloths
9 tablecloths
12 tablecloths
Simplify.
A
B
C
D
75
Is 1.875 a rational or an irrational number?
A
B
76
rational
irrational
Marie saved $51. On Wednesday, she spent $8 of her savings. What ratio represents the
portion of her total savings that she still has left?
A
B
C
D
43 : 8
8 : 51
43 : 51
59 : 51
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Math Summer Practice Grade 8 2012
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77
Use cross products to determine which of the following pairs of ratios cannot form a
proportion.
A
B
C
D
78
Solve the proportion. Where necessary, round to the nearest hundredth.
A
B
C
D
79
144
0.44
1.78
36
The pair of polygons is similar. Find the value of x.
A
B
C
D
187.5 in.
12 in.
30 in.
37.5 in.
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Math Summer Practice Grade 8 2012
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80
The diagram below is the plan for a one-bedroom apartment.
1 inch = 16 feet
The longest wall in the living room in the diagram has the following width.
What is the actual length?
A
B
C
36 ft
24 ft
16 ft
D
81
Karen wanted to measure the height of her school’s flagpole. She placed a mirror on the
ground 44 ft from the flagpole, and then walked backward until she was able to see the top
of the pole in the mirror. Her eyes were 5 ft above the ground and she was 12 ft from the
mirror. Using similar triangles, find the height of the flagpole to the nearest hundredth of a
foot.
A
B
C
D
220 ft
105.6 ft
528 ft
18.33 ft
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Math Summer Practice Grade 8 2012
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82
Solve.
A
B
C
D
83
Solve.
A
B
C
D
84
–51
5
–5
51
Solve.
A
B
C
D
85
11
33
–33
–11
3
47
–47
–3
The formula for the area of a triangle is given below.
b is the base of the triangle and h is the height of the triangle. What is the length of the
base of a triangle with an area of 30ft2 and a height of 12 ft?
A
B
C
D
3 ft
2.5 ft
5 ft
10 ft
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Math Summer Practice Grade 8 2012
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86
Solve.
A
B
C
D
87
Solve.
A
B
C
D
88
51
20
0
–9
Solve.
A
B
C
D
89
–3
16
18
–16
–2
8
18
6
Simplify.
A
B
C
D
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Math Summer Practice Grade 8 2012
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90
Mark weighs 74 pounds. Together, he and his sister weigh six pounds more than three
times the weight of his sister. Which equation would you use to find the weight w of Mark’s
sister? Solve.
A
B
C
D
91
Choose the inequality that models the situation and solve.
An airline requires carry-on luggage to weigh at most 40 pounds. Your suitcase currently
weighs 10 pounds. How many pounds p are available for you to fill your suitcase with other
items?
A
B
C
D
92
Solve.
A
B
C
D
93
Which of the expressions represents the statement “the mass of the package in grams
reduced by 536 g”?
A
B
C
D
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Math Summer Practice Grade 8 2012
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94
Simplify.
A
B
C
D
95
Simplify.
A
B
C
D
96
6
–6
16
–16
8
–6
6
–8
Suppose a, b, and c are negative and x and y are positive. What is the sign of each
algebraic expression?
a.
b
.
c.
A
B
C
D
97
negative; negative; positive
negative; positive; negative
positive; negative; negative
positive; positive; negative
Simplify.
A
B
C
D
95
87
79
93
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Page 34 of 35
Math Summer Practice Grade 8 2012
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98
Simplify. Where necessary, round to the nearest hundredth.
A
B
C
D
99
0.135
13.5
0.0135
1.35
Simplify. Where necessary, round to the nearest hundredth.
A
B
C
D
0.00099
99
0.099
0.0099
100 Simplify. Where necessary, round to the nearest hundredth.
A
B
C
D
0.275
0.0275
0.00275
2.75
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Page 35 of 35