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Map Grade 6 Practice Test

Grade 6 MAP Math Practice (Original Items, Increased Complexity)

Grade 6 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 6 MAP skill areas; they are not actual test questions.

Overview

  • Difficulty tiers: Early (RIT 210–230), Core (RIT 230–250), Stretch (RIT 250–270).
  • Skills sampled: unit rates, percent, proportional reasoning; operations with fractions/decimals and integers; one-step and multi-step equations/inequalities and exponents; area, surface area, volume, and coordinate plane; data displays, measures of center, and basic probability.

Ratios & Proportional Relationships (RP)

Early (RIT 210–230)

Q1. 3 packs cost $7.50. Cost per pack is
  • $2.00
  • $2.25
  • $2.50
  • $3.00
RP210–230
Q2. Which ratio is equivalent to 4:6?
  • 8:12
  • 6:8
  • 2:1
  • 12:8
RP210–230
Q3. 5 cups of batter make 10 pancakes. How many cups for 12 pancakes?
  • 4
  • 5
  • 6
  • 7
RP210–230
Q4. Which fraction is equivalent to 2/3?
  • 8/12
  • 6/10
  • 10/18
  • 12/20
RP210–230
Q5. A map scale is 1 cm : 5 km. 7 cm represents
  • 30 km
  • 35 km
  • 40 km
  • 45 km
RP210–230
Q6. In a ratio of apples to oranges of 3:5, if there are 20 oranges, apples =
  • 12
  • 10
  • 8
  • 15
RP210–230
Q7. 25% of 80 equals
  • 15
  • 18
  • 20
  • 25
RP210–230
Q8. A recipe is scaled by 1.5. If sugar was 4 cups, new amount is
  • 4.5
  • 5
  • 6
  • 7
RP210–230
Q9. Boys:girls is 3:4. If total is 28, number of boys is
  • 12
  • 14
  • 16
  • 18
RP210–230
Q10. A car travels 60 miles in 2 hours. Its speed is
  • 30 mph
  • 40 mph
  • 50 mph
  • 60 mph
RP210–230

Core (RIT 230–250)

Q11. Which is cheaper per apple: 9 for $3 or 14 for $5?
  • 9 for $3
  • 14 for $5
  • Same price
  • Cannot tell
RP230–250
Q12. Simplify the ratio 18:24
  • 2:3
  • 3:4
  • 4:5
  • 6:7
RP230–250
Q13. 12% of 250 equals
  • 25
  • 30
  • 35
  • 40
RP230–250
Q14. A price increases by 10% from $80. New price is
  • $84
  • $88
  • $90
  • $96
RP230–250
Q15. Solve: x/45 = 2/5. Then x =
  • 16
  • 18
  • 20
  • 22
RP230–250
Q16. In a ratio 3:2, total is 35. The larger part is
  • 12
  • 14
  • 21
  • 24
RP230–250
Q17. 40% of 150 equals
  • 50
  • 60
  • 75
  • 90
RP230–250
Q18. 90 minutes equals
  • 0.9 hours
  • 1.0 hour
  • 1.2 hours
  • 1.5 hours
RP230–250
Q19. Mix 2 L concentrate with 8 L water. The ratio is
  • 1:2
  • 1:3
  • 1:4
  • 2:5
RP230–250
Q20. Traveling 55 mph for 3 hours, distance is
  • 110 miles
  • 150 miles
  • 165 miles
  • 180 miles
RP230–250

The Number System (NS)

Early (RIT 210–230)

Q21. −5 + 12 =
  • 17
  • 7
  • −7
  • −17
NS210–230
Q22. −3 − 7 =
  • −4
  • −10
  • 4
  • 10
NS210–230
Q23. 3/4 + 2/3 =
  • 1 1/3
  • 1 2/3
  • 1 5/12
  • 1 3/8
NS210–230
Q24. 5/6 − 1/4 =
  • 1/2
  • 7/12
  • 2/3
  • 3/4
NS210–230
Q25. 2.5 × 0.4 =
  • 0.1
  • 0.9
  • 1.0
  • 1.4
NS210–230
Q26. 3 ÷ 0.5 =
  • 1.5
  • 3
  • 6
  • 0.6
NS210–230
Q27. |−7| equals
  • −7
  • 0
  • 7
  • 14
NS210–230
Q28. Which is the least?
  • −3
  • −2.5
  • −1
  • 0
NS210–230
Q29. Which is greater?
  • 2/5
  • 3/8
  • Equal
  • Cannot tell
NS210–230
Q30. 1 3/4 × 2 =
  • 2 3/4
  • 3 1/2
  • 3 3/4
  • 4
NS210–230

Core (RIT 230–250)

Q31. −4 × 6 =
  • −10
  • −24
  • 24
  • 30
NS230–250
Q32. (−30) ÷ 5 =
  • −6
  • −5
  • 5
  • 6
NS230–250
Q33. 3/5 ÷ 2 =
  • 1/5
  • 3/10
  • 2/5
  • 3/5
NS230–250
Q34. 7/8 × 4 =
  • 2.5
  • 3.0
  • 3.5
  • 4.5
NS230–250
Q35. 0.72 ÷ 0.09 =
  • 6
  • 8
  • 9
  • 12
NS230–250
Q36. −12 + (−7) =
  • −5
  • −12
  • −19
  • −27
NS230–250

Stretch (RIT 250–270)

Q37. 5/12 + 7/18 =
  • 13/18
  • 29/36
  • 2/3
  • 5/6
NS250–270
Q38. 3 1/4 − 1 5/8 =
  • 1 1/2
  • 1 5/8
  • 1 3/4
  • 2
NS250–270
Q39. (−3)^2 + 4 × (−2) =
  • −1
  • 0
  • 1
  • 5
NS250–270
Q40. 1/2 ÷ 3/4 =
  • 2/3
  • 3/2
  • 1/4
  • 1 1/4
NS250–270

Expressions & Equations (EE)

Early (RIT 210–230)

Q41. Solve: 3x = 21
  • 5
  • 6
  • 7
  • 9
EE210–230
Q42. Solve: x + 5 = 12
  • 5
  • 6
  • 7
  • 8
EE210–230
Q43. Solve: 2(x + 3) = 14
  • 2
  • 3
  • 4
  • 5
EE210–230
Q44. Simplify: 3x + 4x
  • 12x
  • 7x
  • x
  • 3x^2
EE210–230
Q45. Evaluate: 2^3 + 5
  • 10
  • 11
  • 13
  • 15
EE210–230
Q46. Which means “y is at least 8”?
  • y > 8
  • y ≥ 8
  • y ≤ 8
  • y < 8
EE210–230

Core (RIT 230–250)

Q47. Solve: 4x − 7 = 21
  • 5
  • 6
  • 7
  • 8
EE230–250
Q48. Evaluate: 3(2 + 5) − 4
  • 13
  • 17
  • 19
  • 21
EE230–250
Q49. If x = 2 and y = 3, 2x^2 + y equals
  • 7
  • 9
  • 11
  • 13
EE230–250
Q50. Solve: x/6 = 8/3
  • 12
  • 14
  • 16
  • 18
EE230–250
Q51. Which value satisfies x/3 > 4?
  • 9
  • 12
  • 13
  • 6
EE230–250
Q52. 18 − 2(5 + 1) =
  • 6
  • 8
  • 10
  • 12
EE230–250
Q53. Which point satisfies y = 2x when x = 3?
  • (3, 5)
  • (3, 6)
  • (2, 3)
  • (6, 3)
EE230–250
Q54. Which equals 5(x + 2)?
  • 5x + 10
  • 5x + 2
  • x + 10
  • 10x + 5
EE230–250

Stretch (RIT 250–270)

Q55. Solve: (2/5)x = 6
  • 10
  • 12
  • 15
  • 20
EE250–270
Q56. Solve: 7(x − 2) = 35
  • 3
  • 5
  • 7
  • 9
EE250–270
Q57. Simplify: 4a − 3a + 2a
  • 2a
  • 3a
  • 6a
  • 9a
EE250–270
Q58. Evaluate: 2^4 ÷ 2^2
  • 2
  • 4
  • 6
  • 8
EE250–270
Q59. Solve: 5x + 12 = 2x + 27
  • 3
  • 4
  • 5
  • 6
EE250–270
Q60. Which value satisfies 4x + 8 ≤ 20?
  • 4
  • 3
  • 5
  • 6
EE250–270

Geometry (G)

Early (RIT 210–230)

Q61. Area of a triangle with base 10 and height 6 is
  • 20
  • 25
  • 30
  • 60
G210–230
Q62. Volume of a 4 × 3 × 5 prism is
  • 12
  • 20
  • 60
  • 80
G210–230
Q63. Area of a trapezoid with bases 8 and 12 and height 5 is
  • 40
  • 45
  • 50
  • 60
G210–230
Q64. Distance from (2, 3) to (7, 3) is
  • 3
  • 4
  • 5
  • 7
G210–230
Q65. The complement of a 35° angle is
  • 45°
  • 50°
  • 55°
  • 65°
G210–230
Q66. A rectangular prism has how many faces?
  • 4
  • 5
  • 6
  • 8
G210–230

Core (RIT 230–250)

Q67. A right triangle has legs 6 and 8. Its perimeter (with hypotenuse) is
  • 18
  • 20
  • 24
  • 28
G230–250
Q68. Surface area of a cube with side 3 is
  • 27
  • 36
  • 45
  • 54
G230–250
Q69. Distance between (−2, 1) and (3, 1) is
  • 3
  • 4
  • 5
  • 6
G230–250
Q70. Area of a parallelogram with base 12 and height 7 is
  • 72
  • 80
  • 84
  • 96
G230–250
Q71. 250 centimeters equals
  • 0.25 m
  • 2.5 m
  • 25 m
  • 250 m
G230–250
Q72. Two angles around a point are 110° and 95°. The third to make 360° is
  • 145°
  • 150°
  • 155°
  • 165°
G230–250
Q73. Which point is in Quadrant II?
  • (−3, 4)
  • (3, −4)
  • (4, 3)
  • (−4, −3)
G230–250
Q74. Volume of a cube with edge 5 is
  • 25
  • 75
  • 100
  • 125
G230–250

Stretch (RIT 250–270)

Q75. Surface area of a 2 × 3 × 4 rectangular prism is
  • 48
  • 52
  • 56
  • 60
G250–270
Q76. Distance between (1, 2) and (4, 6) is
  • 4
  • 5
  • 6
  • 7
G250–270
Q77. In a triangle, angles are 35°, 65°, and x°. Then x =
  • 70°
  • 75°
  • 80°
  • 85°
G250–270
Q78. A shape has a rectangle 8×3 and a triangle (base 8, height 4) on top. Area is
  • 32
  • 36
  • 40
  • 44
G250–270
Q79. Scale 1:50. A 12 cm drawing length represents
  • 0.6 m
  • 6 m
  • 60 m
  • 600 m
G250–270
Q80. Move 3 right and 2 down from (−2, 5). New point is
  • (1, 7)
  • (−5, 3)
  • (1, 3)
  • (−1, 3)
G250–270

Statistics & Probability (SP)

Early (RIT 210–230)

Q81. Mean of 2, 5, 7, 10 is
  • 5
  • 6
  • 7
  • 8
SP210–230
Q82. Median of 3, 5, 8, 9, 11 is
  • 5
  • 8
  • 9
  • 11
SP210–230
Q83. Mode of 1, 2, 2, 3, 3, 3 is
  • 1
  • 2
  • 3
  • None
SP210–230
Q84. Range of 4, 10, 6, 8 is
  • 4
  • 6
  • 8
  • 10
SP210–230
Q85. Probability of rolling an even number on a fair die is
  • 1/3
  • 1/2
  • 2/3
  • 5/6
SP210–230
Q86. A spinner has 8 equal parts, 3 are red. P(red) =
  • 1/4
  • 3/8
  • 1/2
  • 5/8
SP210–230

Core (RIT 230–250)

Q87. Mean of 6, 7, 8, 9, 10 is
  • 7
  • 8
  • 8.5
  • 9
SP230–250
Q88. 12 of 30 students prefer A. As a percent, this is
  • 30%
  • 40%
  • 50%
  • 60%
SP230–250
Q89. In a line plot of 2, 2, 3, 4, 4, 4, 5, the mode is
  • 2
  • 3
  • 4
  • 5
SP230–250
Q90. 15 wins out of 60 trials has probability
  • 15%
  • 20%
  • 25%
  • 30%
SP230–250
Q91. P(not 6) on a fair die equals
  • 1/6
  • 1/3
  • 1/2
  • 5/6
SP230–250
Q92. Toss two fair coins. P(H then T) is
  • 1/2
  • 1/3
  • 1/4
  • 1/6
SP230–250
Q93. Median of 1, 4, 7, 9, 10, 12 is
  • 7
  • 8
  • 9
  • 10
SP230–250
Q94. Which measure best shows the center when there are outliers?
  • Mean
  • Median
  • Mode
  • Range
SP230–250

Stretch (RIT 250–270)

Q95. P(two heads) in two coin tosses is
  • 1/2
  • 1/3
  • 1/4
  • 1/6
SP250–270
Q96. P(sum of 7) when rolling two dice is
  • 1/12
  • 1/8
  • 1/6
  • 1/4
SP250–270
Q97. A bag has 5 red, 3 blue, 2 green marbles. P(red) =
  • 1/5
  • 1/2
  • 3/10
  • 5/10
SP250–270
Q98. If every value in a data set increases by 2, the mean increases by
  • 0
  • 1
  • 2
  • 10
SP250–270
Q99. Which is least affected by extreme values?
  • Mean
  • Median
  • Range
  • Mean absolute deviation
SP250–270
Q100. Toss a coin and roll a die. P(H and an odd number) is
  • 1/3
  • 1/4
  • 1/6
  • 1/12
SP250–270

Answer Key

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

Note: Created for practice and instruction. Aligns to common MAP skill areas but is not affiliated with or endorsed by NWEA.