Grade 8 MAP Math Practice (Original Items, Higher Complexity)

Grade 8 MAP Math Practice (Original Items)

Domains: Ratios & Proportional Relationships (RP), The Number System (NS), Expressions & Equations (EE), Geometry (G), Statistics & Probability (SP). Items are original and aligned to common Grade 8 MAP skill areas; they are not actual test questions.

Overview

Difficulty tiers: Core (RIT 250–270), Stretch (RIT 270–290), Ultra (RIT 290+).
Skills sampled: multistep percent/proportional reasoning, rational operations with complex fractions and exponents, equations/inequalities and linear models, circle measures and composite solids, compound/conditional probability and sampling.

Ratios & Proportional Relationships (RP)

Core (RIT 250–270)

Q1. In a proportional table, x: 4, 7, 10 and y: 9.2, 16.1, 23.0. The constant k = y/x is

RP250–270

Q2. A car travels 210 miles in 3.5 hours. Its speed is

56 mph
60 mph
62 mph
70 mph

RP250–270

Q3. 18% of 320 equals

54.6
57.6
59.2
64.0

RP250–270

Q4. A scale drawing uses 1 cm : 3 m. A segment of 12.5 cm represents

30 m
35 m
37.5 m
40 m

RP250–270

Q5. An $80 jacket is discounted 15% and then taxed 8%. The total is

$72.80
$73.44
$74.24
$75.60

RP250–270

Q6. Sugar:flour = 5:8. If 1.75 kg sugar is used, flour needed is

2.5 kg
2.8 kg
3.0 kg
3.2 kg

RP250–270

Stretch (RIT 270–290)

Q7. If y = 1.6x, then when x = 12.5, y =

RP270–290

Q8. From 45 to 54 is a percent increase of

RP270–290

Q9. Successive changes: +30% then −10%. The net percent change is

RP270–290

Q10. Simple interest on $480 at 4.5% annual rate for 5 years is

$96.00
$102.00
$108.00
$112.00

RP270–290

Q11. Which is cheapest per ounce?

27 oz for $6.48
24 oz for $5.76
30 oz for $7.20
32 oz for $7.36

RP270–290

Q12. A 12% loss from $250 gives a new price of

$215
$220
$225
$230

RP270–290

Ultra (RIT 290+)

Q13. A 25% acid solution of 800 mL is strengthened to 40% by adding pure acid. Amount to add is

80 mL
120 mL
150 mL
200 mL

RP290+

Q14. y varies inversely with x. If y = 9 when x = 6, then when x = 18, y =

RP290+

Q15. Scale 1 in : 2.5 mi. A path measures 6.4 in on the map. The actual length is

12.5 mi
15.0 mi
16.0 mi
17.5 mi

RP290+

Q16. In y = kx with k = 3/5, if x increases by 20%, y changes by

RP290+

Q17. Boys:girls = 7:9. If there are 256 students, the number of girls is

RP290+

Q18. Convert 90 km/h to m/s.

20
22.5
24
25

RP290+

Q19. A price increases by 18% and then by 12%. The overall single percent increase is closest to

RP290+

Q20. Solve: (x − 4)/9 = 7/3. Then x =

RP290+

The Number System (NS)

Core (RIT 250–270)

Q21. 3.6 ÷ 0.12 =

NS250–270

Q22. 5/6 − 7/15 =

1/3
11/30
7/30
13/30

NS250–270

Q23. (−4)^3 + 2(−5) =

−74
−54
−44
74

NS250–270

Q24. |−12| − |7| =

−19
−5
5
19

NS250–270

Q25. 3/4 ÷ 9/16 =

2/3
4/3
3/4
16/27

NS250–270

Q26. 0.045 as a fraction in simplest form is

9/20
9/200
45/100
45/1000

NS250–270

Stretch (RIT 270–290)

Q27. (−2)^4 × (−2)^3 =

−64
−32
−128
128

NS270–290

Q28. 7/9 + 5/12 =

41/36
43/36
1 5/36
1 3/4

NS270–290

Q29. √90 is between

8 and 9
9 and 10
10 and 11
11 and 12

NS270–290

Q30. (2.5 × 10^4) × (4 × 10^−3) =

1.0 × 10^1
1.0 × 10^2
1.0 × 10^3
1.0 × 10^4

NS270–290

Q31. 0.727272… equals

7/9
8/11
9/11
18/25

NS270–290

Q32. |−5 + 2| + |−3| =

NS270–290

Ultra (RIT 290+)

Q33. (−1.5)^2 − (−2)^3 =

−4.25
2.25
6.25
10.25

NS290+

Q34. 7/10 ÷ 14/25 =

1.2
1.25
1.4
1.5

NS290+

Q35. Evaluate: 3(−4)^2 − 5(−4) + 2

NS290+

Q36. Which is greater: −0.66 or −2/3?

−0.66
−2/3
Equal
Cannot tell

NS290+

Q37. 2 1/4 × 1 2/3 =

3 1/2
3 3/4
3 5/6
4

NS290+

Q38. (−5)^0 + 2^0 equals

0
1
2
Undefined

NS290+

Q39. 1.5 × (−0.8) − 0.7 × (−0.8) =

−1.0
−0.64
0
0.64

NS290+

Q40. 4^(−2) equals

−16
−1/16
1/16
16

NS290+

Expressions & Equations (EE)

Core (RIT 250–270)

Q41. Solve: 5x − 3 = 2x + 12

EE250–270

Q42. Evaluate: 2(3 + 4^2) − 5

EE250–270

Q43. If a = −2 and b = 3, then 2a^2 − 3ab equals

EE250–270

Q44. Solve: x/5 + x/3 = 16

EE250–270

Q45. Which value is NOT a solution of 7 − 2x > 1?

0
2
3
−1

EE250–270

Q46. Solve: 12 − 3(2x − 1) = 3

EE250–270

Stretch (RIT 270–290)

Q47. Slope between (−3, 5) and (5, −3) is

−2
−1
1
2

EE270–290

Q48. The x-intercept of y = −2x + 9 is

EE270–290

Q49. Solve the system: 2x + y = 11 and x − y = 1. The solution is

(3, 4)
(4, 3)
(5, 1)
(6, −1)

EE270–290

Q50. If f(x) = −3x^2 + 2x − 1, then f(−2) =

−19
−17
−13
13

EE270–290

Q51. Solve the inequality: 3(x − 4) ≤ 2x + 1

x ≤ 13
x ≥ 13
x ≤ −13
x ≥ −13

EE270–290

Q52. Simplify: 5(2x − 3) − 2(3x − 4)

4x − 7
4x + 7
7 − 4x
−4x − 7

EE270–290

Ultra (RIT 290+)

Q53. If g(x) = 2x − 5 and h(x) = x^2, then g(h(4)) equals

EE290+

Q54. Solve: (x − 3)/4 = (2x + 5)/10

EE290+

Q55. Which equation has slope 3 and y-intercept −2?

y = 3x − 2
y = −3x − 2
y = 3x + 2
y = −2x + 3

EE290+

Q56. If 4^x = 64, then x =

EE290+

Q57. Solve: 2/(x − 1) = 1/3

EE290+

Q58. Simplify: (a^3 b^2)(a^−1 b^4)

a^2 b^6
a^4 b^2
a^2 b^4
a b^6

EE290+

Q59. Solve the system: y = 2x − 1 and y = −x + 8

(3, 5)
(5, 3)
(−3, 2)
(3, −5)

EE290+

Q60. Which value is a solution of 5|x − 2| = 20?

−2
0
2
4

EE290+

Geometry (G)

Core (RIT 250–270)

Q61. Circumference of a circle with radius 9 (π ≈ 3.14) is

28.26
56.52
81.00
101.79

G250–270

Q62. Area of a circle with radius 7.5 (π ≈ 3.14) is about

150.0
176.6
177.5
185.0

G250–270

Q63. The complement of 73° is

17°
27°
107°
127°

G250–270

Q64. Two angles form a linear pair: (3x + 10)° and (5x − 22)°. Then x =

G250–270

Q65. Scale 1 cm : 2.5 m. A drawing length of 18 cm represents

30 m
40 m
45 m
50 m

G250–270

Q66. A right triangle has legs 9 and 12. Its perimeter (with hypotenuse) is

G250–270

Stretch (RIT 270–290)

Q67. Surface area of a cube with side 5 is

G270–290

Q68. Area of a 10 × 6 rectangle with a semicircle of radius 5 attached on one side (π ≈ 3.14) is about

94.2
99.3
104.0
110.0

G270–290

Q69. With parallel lines, angle x is alternate interior to 132°. Then x =

48°
68°
132°
312°

G270–290

Q70. Similar triangles have corresponding sides 8→14 and 12→x. Then x =

G270–290

Q71. Distance between (−6, −2) and (3, 10) is

G270–290

Q72. Area of an annulus with outer radius 7 and inner radius 3 (π ≈ 3.14) is about

94.2
113.1
125.6
138.2

G270–290

Q73. Surface area of a 4 × 6 × 9 rectangular prism is

G270–290

Q74. Arc length of a 120° sector in a circle of radius 9 (π ≈ 3.14) is about

9.42
12.56
18.84
28.26

G270–290

Q75. A dilation centered at the origin with scale factor 0.5 sends (−8, 6) to

(−4, 3)
(−8, 12)
(−3, 4)
(4, −3)

G270–290

Q76. If a circle’s circumference is 62.8, its radius (π ≈ 3.14) is

G270–290

Q77. When side lengths scale by 2.5, area scales by

2.5
5
6.25
12.5

G270–290

Q78. A right triangle has a leg of 5 and hypotenuse of 13. The other leg is

G270–290

Q79. Volume of a cylinder radius 5, height 12 (π ≈ 3.14) is about

785
942
1047
1256

G270–290

Q80. Surface area of a cylinder radius 6, height 8 (π ≈ 3.14) is about

452.4
527.5
565.5
602.9

G270–290

Statistics & Probability (SP)

Core (RIT 250–270)

Q81. A bag has 7 red and 5 blue marbles. P(red) =

5/12
7/12
1/2
7/10

SP250–270

Q82. How many outcomes are in the sample space for flipping 4 coins?

SP250–270

Q83. P(roll ≥ 5) on a fair die equals

SP250–270

Q84. Mean of 6, 9, 11, 14 is

9.5
10
10.5
11

SP250–270

Q85. Relative frequency is 22 successes in 80 trials. As a percent it is

25%
27.5%
28%
30%

SP250–270

Q86. Median of 1, 4, 6, 7, 9, 12, 15 is

SP250–270

Stretch (RIT 270–290)

Q87. In 200 spins, blue appears 38 times. An estimate of P(blue) is

0.18
0.19
0.20
0.25

SP270–290

Q88. If P(A) = 0.42, then P(not A) =

0.38
0.42
0.58
0.62

SP270–290

Q89. For independent events with P(A) = 0.35 and P(B) = 0.6, P(A and B) =

0.18
0.21
0.35
0.95

SP270–290

Q90. Which is a simple random sample?

Survey the sports team
Ask the first 50 students entering
Use a random number generator on the whole roster
Ask for volunteers after school

SP270–290

Q91. P(sum is odd) when rolling two dice is

1/3
5/12
1/2
2/3

SP270–290

Q92. Toss two fair coins. P(exactly one head) is

SP270–290

Ultra (RIT 290+)

Q93. Without replacement from 6 red and 4 blue, P(two red in a row) =

SP290+

Q94. Number of outcomes choosing a 3-letter code from {A, B, C, D} with repetition allowed is

SP290+

Q95. The mean of 8 numbers is 15. If an additional number 24 is included, the new mean is

15
15.5
16
17

SP290+

Q96. For data 2, 4, 7, 9, 12, 13, 15, the interquartile range (IQR) is

SP290+

Q97. From a bag with 3 red and 7 blue, P(second red | first red) =

SP290+

Q98. A class has 14 girls and 16 boys. Two students are chosen without replacement. P(both girls) =

7/30
91/435
7/29
14/435

SP290+

Q99. The probability of a complement is 0.27. The event’s probability is

0.27
0.63
0.73
0.83

SP290+

Q100. Picking a whole number from 1 to 30, the probability it is prime is

1/3
2/5
3/10
1/2

SP290+

Answer Key

1:B, 2:B, 3:B, 4:C, 5:B, 6:B, 7:C, 8:B, 9:A, 10:C, 11:D, 12:B, 13:D, 14:B, 15:C, 16:C, 17:C, 18:D, 19:C, 20:D, 21:B, 22:B, 23:A, 24:C, 25:B, 26:B, 27:C, 28:B, 29:B, 30:B, 31:B, 32:D, 33:D, 34:B, 35:C, 36:A, 37:B, 38:C, 39:B, 40:C, 41:B, 42:C, 43:C, 44:C, 45:C, 46:B, 47:B, 48:C, 49:B, 50:B, 51:A, 52:A, 53:B, 54:D, 55:A, 56:B, 57:C, 58:A, 59:A, 60:A, 61:B, 62:B, 63:A, 64:C, 65:C, 66:C, 67:B, 68:B, 69:C, 70:C, 71:B, 72:C, 73:C, 74:C, 75:A, 76:C, 77:C, 78:C, 79:B, 80:B, 81:B, 82:C, 83:B, 84:B, 85:B, 86:B, 87:B, 88:C, 89:B, 90:C, 91:C, 92:B, 93:B, 94:C, 95:C, 96:C, 97:B, 98:B, 99:C, 100:A

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Map Grade 8 Practice Test

Grade 8 MAP Math Practice (Original Items)

Overview

Ratios & Proportional Relationships (RP)

Core (RIT 250–270)

Stretch (RIT 270–290)

Ultra (RIT 290+)

The Number System (NS)

Core (RIT 250–270)

Stretch (RIT 270–290)

Ultra (RIT 290+)

Expressions & Equations (EE)

Core (RIT 250–270)

Stretch (RIT 270–290)

Ultra (RIT 290+)

Geometry (G)

Core (RIT 250–270)

Stretch (RIT 270–290)

Statistics & Probability (SP)

Core (RIT 250–270)

Stretch (RIT 270–290)

Ultra (RIT 290+)

Answer Key