Grade 8 Math SOL Practice Test — Set 2 of 5

Set 2 of 5 — 50 more free Grade 8 Math SOL practice questions from official VDOE released tests.

  1. 1. Which is equivalent to the following expression? (7 + 3 4 + 6)

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    Answer: A — (7 + 3 + 6 4)

  2. 2. Which of the following is a true statement?

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    Answer: C — ((2)/(5) = 0.40 = 40%)

  3. 3. Which of the following real numbers is not a rational number?

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    Answer: F — (sqrt21)

  4. 4. Look at the set 2a, 3a, 4a. If a is a prime number, how many members of the set are also prime?

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    Answer: A — 0

  5. 5. Which is equivalent to (13 - 33)?

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    Answer: J — −14

  6. 6. Let (A = 2, 3, 5, 7, 11, 19, 23, 29). Which of the following is a true statement concerning A?

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    Answer: B — All numbers in A are prime.

  7. 7. What is the value of ((12 − (−8))^2 − 21 ÷ (−4))?

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    Answer: H — 33

  8. 8. A weather forecaster checked and emptied a rain gauge six times in one day. The measurements in inches were 0.243, 0.595, 0.903, 0.756, 0.398, and 0.112. Which is the best estimate of the total rainfall that day?

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    Answer: C — 3.0 in.

  9. 9. What is the value of (6n(n − 1) ÷ 4) when (n = 3)?

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    Answer: G — 40

  10. 10. Which of the following is not a perfect square?

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    Answer: D — 99

  11. 11. A flight engineer flies an average of 2,923 miles per week. Which is the best estimate of the number of miles she flies in 3 years (52 weeks per year)?

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    Answer: H — 450,000

  12. 12. For large parties, a restaurant adds a 15% service charge to the bill. How much would be added to a bill of $638.40?

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    Answer: C — $95.76

  13. 13. On a map, the distance between Milvale and Dracut is 1¼ inches. The map scale shows that ¼ inch represents 1 mile. What is the actual distance in miles between Milvale and Dracut?

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    Answer: J — 5

  14. 14. Which of the following best represents (sqrt39)?

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    Answer: B — A number between 6 and 7

  15. 15. Which of the following measures is closest to 45°?

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    Answer: C — 45°

  16. 16. Two triangles are similar. In the smaller triangle, side a corresponds to side s in the larger triangle, and side c corresponds to side t. Which proportion is true?

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    Answer: F — (a/s = c/t)

  17. 17. Which is closest to the circumference of a circle with a radius of 9 inches? (Use ( ≈ 3.14).)

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    Answer: B — 56.52 in.

  18. 18. A quart of milk is closest to —

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    Answer: H — a liter of milk

  19. 19. Marta painted an 18-foot by 12-foot rectangular wall. What is the area of the wall she painted?

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    Answer: B — 216 sq ft

  20. 20. A solid figure is composed of identical cubes. The figure consists of four cubes in the bottom layer arranged in a 2-by-2 square, with three cubes stacked directly on top of three of the bottom cubes. Using one edge of a cube as one unit, which could be the volume of the figure?

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    Answer: F — 28 cubic units

  21. 21. The original Ferris wheel introduced at the 1893 World’s Fair in Chicago had a diameter of 250 feet. Which is closest to the distance a person traveled in one complete revolution?

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    Answer: B — 785 ft

  22. 22. A circular cone has a radius of 8 cm and a height of 9 cm. Which is closest to the volume of this cone? (Use ( ≈ 3.14).)

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    Answer: F — 150.8 cm³

  23. 23. Which list gives the plane figures in order by the number of sides, starting with the fewest?

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    Answer: D — Pentagon, heptagon, octagon, nonagon

  24. 24. A square-based pyramid has a square base with side length 4 cm and a vertical height of 3 cm. What is the volume of the pyramid?

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    Answer: G — 12 cm³

  25. 25. In triangle ABC, AB = 4 cm and AC = 2 cm. In a similar triangle, the corresponding sides are 10 cm and x cm. What is the value of x?

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    Answer: C — 12 cm

  26. 26. What value of x would make triangle ABC similar to triangle DEF if the ratios of corresponding sides are 45:x and 39:34?

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    Answer: A — 26

  27. 27. Two lines intersect, forming vertical angles. If ∠a measures 109°, what is the measure of the adjacent angle ∠b?

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    Answer: H — 71°

  28. 28. A bag contains 13 red, 13 green, 13 yellow, and 13 blue candies. What is the probability of choosing a candy that is not blue?

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    Answer: D — 3/4

  29. 29. The number of lunches sold Monday through Friday were 200, 250, 300, 275, and 325. What was the daily average (mean) number of lunches sold?

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    Answer: C — 270

  30. 30. Nicole’s homework scores were 100, 97, 95, 80, 88, 84, 96, 60, 78, and 83. Which box-and-whisker plot correctly represents this data?

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    Answer: B — Minimum 60, Q1 78, median 86, Q3 96, maximum 100

  31. 31. Four different stickers are placed in a row inside a rectangle. How many different arrangements are possible?

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    Answer: J — 24

  32. 32. Two number cubes are rolled. There are 36 equally likely outcomes. What is the probability that the sum is 8?

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    Answer: A — 5/36

  33. 33. The percentage of U.S. households with computers that had CD-ROM drives was approximately: 1993: 5%, 1994: 10%, 1995: 20%, 1996: 30%, 1997: 35%. Which is the most reasonable prediction for 1998?

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    Answer: G — 36%

  34. 34. A spinner is divided into 8 equal sections: 3 Blue, 2 Green, 2 Red, and 1 Yellow. What is the probability of landing on Green or Blue?

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    Answer: D — 5/8

  35. 35. A car-rental agency charges $38 per day plus $0.21 per mile. Sandra paid $88.40 for one day. Which equation could be used to find the number of miles driven, x?

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    Answer: A — (0.21x + 38 = 88.40)

  36. 36. What value of t makes the equation ((1)/(2)(t + 7) = 48) true?

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    Answer: H — 89

  37. 37. The table shows the pattern: x: −3, −2, −1, 0, 1, 2 y: 1, 1, 1, 3, 9,? Which number replaces the question mark?

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    Answer: B — 9

  38. 38. The sequence 1, 2, 6, 24, … is formed by multiplying consecutive integers. What is the sixth term?

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    Answer: J — 720

  39. 39. Jeffrey’s dogs ate 42 pounds of food in July (31 days). At that rate, about how many days would a 100-pound bag last?

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    Answer: B — 74

  40. 40. What is the solution to (x + 3 = 7)?

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    Answer: J — 8

  41. 41. Which equation is equivalent to (5x − 8 = 0)?

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    Answer: C — (5x = 8)

  42. 42. Laureen has identified 1 direct ancestor in the first generation before her, and the number of direct ancestors doubles each generation. How many direct ancestors are in the 6th generation before hers?

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    Answer: D — 64

  43. 43. In the expression (y = 2x + 2), what best describes the circled number 2 multiplying x?

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    Answer: F — Coefficient

  44. 44. Laurie used 5 yards of fabric to make 2 costumes. How many yards are needed to make 20 more costumes?

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    Answer: D — 50

  45. 45. Which means “the sum of 8 and 4 times a number is 36”?

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    Answer: B — (4x + 8 = 36)

  46. 46. A parking garage charges $2.00 for the first hour and $0.80 for each additional hour. Which formula gives the cost C for h hours?

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    Answer: F — (C = 0.80(h − 1) + 2)

  47. 47. Furniture cost $1,892 total. After a $350 deposit, the balance is paid over 24 months. What is the monthly payment?

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    Answer: A — $64.25

  48. 48. The table of ordered pairs is: (−2, −1), (0, 3), (3, 9), (5, 13), (10, 23). Which function describes this relationship?

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    Answer: H — (y = 2x + 3)

  49. 49. A taxi charges $2.00 for the first mile and $1.60 for each additional mile. What is the cost of a 4-mile trip?

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    Answer: B — $6.80

  50. 50. A dog gets 2 drops of vitamins per day for every 5 pounds of body weight. How many drops should a 20-pound dog get per day?

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    Answer: H — 8

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.