Grade 8 Math SOL Practice Test — Set 4 of 5

Set 4 of 5 — 50 more free Grade 8 Math SOL practice questions from official VDOE released tests.

  1. 1. What is the value of (n^3) when (n = -4)?

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    Answer: A — −64

  2. 2. Which of the following could be the measurements of two supplementary angles?

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    Answer: C — 97° and 83°

  3. 3. Josh has two rectangular prisms. The length of the second prism is 10 times the length of the first prism. The widths and heights are the same. Which best describes the volume of the second prism?

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    Answer: A — 10 times the volume

  4. 4. The radius of a cone is 6 inches and the height is 6 inches. Which is closest to the volume of the cone?

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    Answer: C — 226 cubic inches

  5. 5. One piece of stained glass is transformed three times to form a design. What transformation was used?

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    Answer: C — Rotation

  6. 6. A square-based pyramid has a base side length of 12 feet and slant height of 11 feet. What is the minimum surface area needed to cover the pyramid?

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    Answer: C — 528 square feet

  7. 7. What is the solution of the equation (x = 5x + 6)?

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    Answer: A — −1.5

  8. 8. Identify each equation that illustrates the commutative property of multiplication.

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    Answer: B — (4(3) = 3(4))

  9. 9. What value of (x) makes the equation (5x + 8 + 3x = 26 + 6x) true?

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    Answer: D — 18

  10. 10. Two fair coins are flipped. What is the probability that both display tails?

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    Answer: A — ((1)/(4))

  11. 11. Which best describes the relationship shown in the scatterplot?

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    Answer: D — No relationship

  12. 12. What is the solution to (n - 3 = 13)?

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    Answer: D — (n = 28)

  13. 13. What is the solution of the inequality (16 > 8x + 4)?

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    Answer: B — (x < 2)

  14. 14. Which is the greatest value in the range of (y = -5x + 3) for the domain (-2, 0, 1, 3)?

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    Answer: C — 13

  15. 15. A scatterplot shows Marvin’s age and the time it takes him to run a mile. Which best describes the relationship?

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    Answer: B — Time decreases with age

  16. 16. Which relation has a domain of (3, 5, 8)?

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    Answer: A — ((5,1), (3,4), (8,2), (3,3))

  17. 17. A box contains 9 new light bulbs and 6 used light bulbs. Two bulbs are selected without replacement. What is the probability of selecting a new bulb and then a used bulb?

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    Answer: D — ((9)/(15) * (6)/(14))

  18. 18. On a certain map, 1 inch represents 75 miles. If the distance between two towns on this map is 2 inches, what is the actual distance between the two towns?

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    Answer: D — 375 mi

  19. 19. Which of the following is not a prime number?

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    Answer: C — 33

  20. 20. Which is ordered from least to greatest?

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    Answer: A — 0.003, 3%, 3/10, 3

  21. 21. The diagram shows subsets of the real numbers (whole numbers ⊂ integers ⊂ rational numbers ⊂ real numbers, with irrational numbers separate). Letters represent members of these sets. Which letter could be replaced with 3?

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    Answer: B — r

  22. 22. Which is not equivalent to 2/3?

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    Answer: C — 66%

  23. 23. Peggy has 48 boxes of corn flakes and 72 boxes of bran flakes. The boxes are arranged so that each row has the same number of boxes and only one kind of cereal. What is the greatest number of boxes that can be in each row?

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    Answer: D — 24

  24. 24. A Venn diagram shows multiples of 15 and multiples of 24. The overlapping region contains numbers that are multiples of both 15 and 24. What is the least number that belongs in the overlapping region?

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    Answer: C — 120

  25. 25. Which is equivalent to 9³?

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    Answer: D — 729

  26. 26. An electrician charges $36.50 per hour and an assistant charges $27.50 per hour. What is the total labor cost for a 6-hour job?

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    Answer: A — $416.00

  27. 27. On a map, 1 inch represents 50 miles. The distance between Sommerville and Linden is 2.5 inches. What is the actual distance between these towns?

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    Answer: D — 125 miles

  28. 28. A dress costs $89.75. If the sales tax is 8%, what is the total amount paid?

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    Answer: C — $96.93

  29. 29. Just before sunrise, the temperature was −13°F. By 10 a.m., it had risen 19 degrees. Which expression shows how to find the temperature at 10 a.m.?

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    Answer: D — −13 + 19

  30. 30. What is the value of −(3x − 5) when x = −2?

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    Answer: A — −1

  31. 31. Between which two consecutive whole numbers does √61 lie?

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    Answer: B — 7 and 8

  32. 32. What is the quotient of 2.964 ÷ 1.2?

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    Answer: B — 2.47

  33. 33. Lines ℓ and m are perpendicular and intersect at a point. Line n also passes through this point, forming six angles labeled 1 through 6 around the intersection. Which angle has the same measure as ∠1?

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    Answer: C — ∠4

  34. 34. The radius of a wheel is 13 inches. Which is closest to the circumference of the wheel?

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    Answer: C — 81.6 in.

  35. 35. The measure of the largest angle in an acute triangle is —

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    Answer: A — less than 90°

  36. 36. A rectangular field measures 124 meters by 234 meters. How many square meters is the area?

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    Answer: D — 29,016

  37. 37. A cone has a slant height of 16 inches and a radius of 6 inches. Which is closest to the height of the cone?

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    Answer: B — 14.8 in.

  38. 38. A recycling bin is a rectangular prism with a base 12 feet by 6 feet and a volume of 576 cubic feet. What is the height of the bin?

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    Answer: C — 8 ft

  39. 39. In a random survey, 25 out of 150 people answered correctly. If 500 people are surveyed, about how many would be expected to answer correctly?

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    Answer: C — 83

  40. 40. The stem-and-leaf plot shows home runs hit by league leaders over 10 years: 3 | 7 8 9 4 | 0 4 8 8 5 | 6 7 8 What is the mode?

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    Answer: C — 48

  41. 41. The total World Cup points for five teams are: 57, 99, 48, 74, 93. What is the median?

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    Answer: B — 74

  42. 42. A number cube has faces labeled 1, 2, 3, 4, 5, and 6. Sam wins if he rolls a number less than 3. What is the probability he wins on the next roll?

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    Answer: B — 1/3

  43. 43. Roscoe tosses a fair coin and gets heads 6 out of 10 times. What is the probability of heads on the next toss?

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    Answer: A — 1/2

  44. 44. Test scores are 76, 78, 76, 82, 62, and 100. Which measure is greatest?

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    Answer: A — Mean

  45. 45. A taxi fare table shows: 0.1 mi → $2.05 0.2 mi → $2.10 0.3 mi → $2.15 1.0 mi → $2.50 3.0 mi → $3.50 If the pattern continues, what is the fare for 6 miles?

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    Answer: B — $5.00

  46. 46. Mona’s bank charges $10 per month plus $0.12 per check. If her total fee was $12.52, how many checks did she write?

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    Answer: B — 21

  47. 47. What value of x makes x + 2 = 4 true?

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    Answer: B — 2

  48. 48. Ellen and Janet won 32 matches total. Ellen won 6 more than Janet. How many did Ellen win?

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    Answer: C — 19

  49. 49. A concession stand sold 327 drinks in 2 games. Which proportion estimates drinks sold in 10 games?

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    Answer: D — 327/x = 2/10

  50. 50. Which ordered pair is in the third quadrant?

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    Answer: B — (−4, −7)

Grade 8 Math SOL practice test — FAQ

Are these Grade 8 Math SOL practice questions free?

Yes — this Grade 8 Math SOL practice test is completely free with no signup. Answer each question to check it instantly, or open "Show answer" to review.

How many Grade 8 Math SOL practice questions are there?

Across all sets, there are 236 Grade 8 Math practice questions drawn from official Virginia Department of Education released SOL tests. This set has 50.

Are these real Virginia SOL questions?

The questions are adapted from official VDOE released SOL tests for Grade 8 Math. SOL Prep is an independent study aid and is not affiliated with or endorsed by the Virginia Department of Education.

Practice items adapted from Virginia Department of Education released SOL tests. Practice items are provided for study purposes and are not affiliated with or endorsed by the Virginia Department of Education.