Grade 8 Math SOL Practice Test — Set 1 of 5
236 free Grade 8 Math Virginia SOL practice questions drawn from official Virginia Department of Education released tests. Pick an answer to check it instantly, or open “Show answer” to review. No signup required.
1. How many factors does a prime number have?
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Answer: C — 2
2. Which of the following is not true?
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Answer: H — 2.5 = 25%
3. Which of the following is equivalent to 3/4 × 8?
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Answer: D — 12
4. Loretta is filling numbers into a Venn diagram. One circle contains factors of 45, another contains factors of 60, and the overlapping shaded region represents numbers that are factors of both 45 and 60. No number is entered more than once. What is the greatest number that can be placed in the shaded region?
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Answer: C — 15
5. Which is an integer?
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Answer: F — −19
6. Harold was looking at a scale drawing of a city park. A reflection pool that is 27 meters long measures 1.8 centimeters on the drawing. Which scale was most likely used?
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Answer: C — 1 cm represents 15 m
7. If a ÷ b = a, then b equals —
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Answer: G — 0
8. Between what two consecutive whole numbers does √95 lie?
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Answer: C — 9 and 10
9. A recipe calls for 3 cups of flour and 1 1/2 cups of sugar. If the recipe is doubled, how much flour will be required?
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Answer: J — 6 cups
10. David earns $9.60 per hour for a 40-hour week. His total deductions were $84.30. What was his net pay for the week?
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Answer: B — $299.70
11. Mark layered three pieces of wood to build the base for a lamp. The thicknesses were 1/2 inch, 5/8 inch, and 3/16 inch. What was the total thickness of the base?
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Answer: J — 1 1/16 in.
12. What is the value of n²(m − r) if m = 3, n = 2, and r = 4?
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Answer: A — 28
13. At a video rental shop, 5 movies can be rented for $6.99. Each additional movie costs $1.99. What is the total cost to rent 8 movies?
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Answer: F — $12.96
14. What is the value of y² + 12/5 when y = 5?
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Answer: C — 18
15. The design consists of several overlapping polygons. The shaded region at the center has seven sides. Which term identifies this shaded figure?
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Answer: D — Decagon
16. In a flower garden, points A, B, C, D, and E form two intersecting straight lines: A–E and C–D. Sections ABC and EBD contain roses. If ∠ABC measures 38°, what is the measure of ∠EBD?
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Answer: F — 38°
17. If triangle ABC is similar to triangle DEF, which of the following must be true?
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Answer: A — AB/AC = DE/EF
18. Which of the following indicates the greatest weight?
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Answer: D — 0.5 tons
19. Su Li wants to cover a rectangular flower bed measuring 3.2 meters by 4.3 meters. How many square meters of covering are needed?
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Answer: G — 13.76
20. Four figures labeled A, B, C, and D are shown. Figures C and D have the same shape and size. Which figures appear to be congruent?
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Answer: D — D and A
21. A wheel rim has a diameter of 15 inches. Which value is closest to the inside circumference of the tire that fits on the rim?
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Answer: F — 47.1 in.
22. A quadrilateral has four interior angles labeled 1, 2, 3, and 4. Angle 4 appears acute and closest in measure to 48°. Which angle is closest to 48°?
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Answer: D — ∠4
23. A grid is placed over a cross-sectional drawing of a molding. Each square represents 1 square centimeter. The shaded region covers 108 full grid squares. What is the area of the cross section?
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Answer: H — 108
24. A cylindrical fire extinguisher canister has a radius of 2.5 inches and a height of 13.5 inches. Which is closest to the number of cubic inches it can hold?
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Answer: B — 265
25. Billy must paint the surface area of a square-based pyramid. The base is a square with side length 7 inches. Each triangular face has a base of 7 inches and a slant height of 15 inches. What is the total surface area?
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Answer: J — 175 sq in.
26. A bookshelf has a triangular brace connecting two points that are 20 inches apart horizontally and 15 inches apart vertically. Which is closest to the length of the brace?
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Answer: A — 25 in.
27. A pizza parlor offers: 4 sizes (small, medium, large, extra large) 3 crust types (thin, original, thick) 4 toppings How many ways can Andy buy a pizza with one topping?
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Answer: B — 4 × 3 × 4
28. The highest January temperatures (°F) for 10 U.S. cities are: 37, 38, 39, 42, 42, 46, 47, 53, 54, 60 In how many cities was the highest January temperature above 45°F?
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Answer: B — 5
29. A deck contains 6 red cards, 6 blue cards, and 8 black cards. What is the probability of drawing a red card?
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Answer: C — 30%
30. A package contains 7 bags of tortilla chips, 3 bags of cheese puffs, 4 bags of potato chips, and 6 bags of corn chips. What is the probability of selecting potato chips?
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Answer: G — 1/5
31. The number of CDs sold by a store increased each year as follows: Year 1: 1,000 Year 2: 1,500 Year 3: 2,000 Year 4: 2,500 Year 5: 3,000 If this pattern continues, what is the best prediction for Year 8 sales?
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Answer: C — 2,400
32. A set of 5 cards includes 2 cards with stars and 3 without stars. What is the probability of drawing a card with a star?
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Answer: F — 2/5
33. The table shows World Cup records: Argentina: 57 points Brazil: 99 points England: 48 points Italy: 74 points West Germany: 93 points What is the mean number of points?
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Answer: C — 74.2
34. A box-and-whisker plot shows class sizes with a median of 28 students. Which statement must be true?
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Answer: J — The median class size is 28.
35. Hilary has $9 less than Barbara. Together they have $21. If x represents Barbara’s money, which equation models this situation?
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Answer: B — (x − 9) + x = 21
36. In an auditorium, each row has 2 more seats than the row in front. The first row has 23 seats. How many seats are in the 10th row?
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Answer: H — 41
37. What value of c makes the equation 5(c − 0.15) = 2.50 true?
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Answer: D — 0.65
38. A submarine receives an echo from a ship 5,000 yards away in 6.1 seconds. An echo from a second ship is received in 8.4 seconds. Which proportion can be used to find the distance x to the second ship?
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Answer: F — 6.1/5000 = 8.4/x
39. In the equation 3y = 7x − 9, the circled part is “7x − 9.” Which term best describes it?
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Answer: A — expression
40. There are 48 newborn girls in a nursery. For every 3 girls there are 2 boys. How many boys are there?
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Answer: H — 32
41. Elizabeth drove 432 miles on the second day, which was 17 miles more than five times the distance driven on the first day. How many miles did she drive on the first day?
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Answer: B — 83
42. The number of diagonals in a polygon with n sides is given by n(n − 3)/2. How many diagonals does a polygon with 10 sides have?
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Answer: J — 35
43. Points P(2,3), Q(3,2), R(−1,−2), and S(3,4) are plotted. Which line segment connects (2,3) and (−3,2)?
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Answer: B — PR
44. A library fine increases by $0.05 per day overdue. Which equation represents the relationship between d days overdue and fine f?
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Answer: F — f = 0.05d
45. Martha’s grandfather is 63 years old, which is 6 years more than 3 times Martha’s age. How old is Martha?
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Answer: G — 19
46. What is the solution to (x ÷ 5) = 12?
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Answer: B — x = 60
47. Which of these is an inequality?
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Answer: J — 3x ≥ x − 2
48. Which expression represents “twice the number of books divided by fifteen”?
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Answer: B — 2n/15
49. Which is a solution for 5x − 2 = 9x + 4?
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Answer: A — −3/2
50. Which best describes the value of (4.5)²?
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Answer: H — Between 16 and 25
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.