Grade 7 Math SOL Practice Test — Set 1 of 3
140 free Grade 7 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. Ralph’s map of Virginia Beach uses a scale of 1 inch for every 7 miles. Ralph runs a distance of 13.2 miles from his house in Virginia Beach every weekend. Which is closest to the number of inches needed to represent this distance on Ralph’s map?
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Answer: D — 1.9 inches
2. Max surveyed students on his website and asked each student to select one favorite after-school activity. The results were recorded as percentages of all responses as follows: Watching movies: 56% Roller skating: 6% Listening to music: 12% Shopping: 10% Basketball: 9% Reading: 4% Playing games: 3% If 126 students selected watching movies, how many total students responded to Max’s survey?
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Answer: H — 225
3. A jug of drinking water contained 15 gallons. After one day, 2⅝ gallons had been used. How much water was left in the jug?
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Answer: B — 12⅝ gallons
4. Kevin mixes paint using 8 ounces of yellow paint for every 3 ounces of white paint. At this rate, how many ounces of white paint would be mixed with 24 ounces of yellow paint?
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Answer: G — 9
5. Lynne loaned $480 to a friend. The friend paid back the amount borrowed plus 10% interest. What was the total amount the friend paid to Lynne?
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Answer: D — $528.00
6. Eli can type 1 page in 10 minutes. How many total pages can he type in one hour?
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Answer: G — 10
7. The change in the number of students enrolled at a school over six months is shown below: October: −15 students November: +12 students December: −8 students January: +5 students February: −10 students March: +14 students The number of students enrolled at the end of September was 4,327. What was the number of students enrolled at the end of March?
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Answer: C — 4,325
8. Which set is ordered from greatest to least?
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Answer: J — 1.6×10⁻¹, 0.166, 16%
9. Which property is used in the number sentence 4(3 + n) = (4 × 3) + (4 × n)?
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Answer: A — Distributive property
10. Which of the following is another way of expressing 2 out of 8?
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Answer: G — 25%
11. Which list is in order from least to greatest?
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Answer: B — 0.17, 0.78, 40%
12. The fraction 1/8 is equivalent to which percent?
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Answer: H — 12.5%
13. Which of the following equations illustrates the multiplicative property of zero?
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Answer: A — 10 × 0 = 0
14. Which statement is false?
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Answer: F — 35 + (−30 + 37) = (35 + −30) + (−35 + 37)
15. Which ordered pair describes a point located in the second quadrant of a coordinate grid?
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Answer: B — (−6, 5)
16. Five triangles are given with side lengths labeled. Based on proportional side lengths, which pair of triangles is most likely similar?
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Answer: B — Triangles 2 and 5
17. Travis is making a wall hanging out of different colors of glass. The shape is drawn on a coordinate grid where each square represents 1 square unit. The shape covers approximately 36 unit squares. Which is closest to the total amount of glass needed to make the wall hanging?
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Answer: C — 36 square units
18. A figure on a coordinate grid has a vertex V at (5, −2). The figure is translated vertically 6 units in the positive direction. Which best describes the location of the image of vertex V?
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Answer: G — (5, 4)
19. Which of the following figures has exactly five sides?
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Answer: D — Pentagon
20. A figure on a coordinate grid is moved so that every point is the same distance from the origin as before, but the orientation changes. Which type of transformation most likely took place?
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Answer: F — Rotation about the origin
21. The following is true about similar triangles ABC and DEF: AB/DE = BC/EF = AC/DF = 2/1 Which could be the lengths of BC and EF?
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Answer: A — BC = 6 and EF = 3
22. Trevor covered a cylindrical can with paper. The can is 18 centimeters tall and has a radius of 5 centimeters. Which is closest to the minimum amount of paper needed to cover the entire can, including the top and bottom?
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Answer: H — 722 cm²
23. Which of the following quadrilaterals has exactly one pair of parallel sides?
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Answer: B — Trapezoid
24. A polygon has 7 sides. What type of polygon is it?
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Answer: H — Heptagon
25. A powdered drink mix is stored in a cylindrical container with a radius of 6 centimeters and a height of 14 centimeters. Which is closest to the maximum number of cubic centimeters the container will hold?
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Answer: D — 1,583 cm³
26. Bob wants to paint a rectangular wall that measures 16 feet by 9 feet. The wall contains a rectangular window that measures 4 feet by 5 feet. If Bob does not paint the window, what is the total area he will paint?
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Answer: G — 104 square feet
27. Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results: $1 bill: 28 times $5 bill: 14 times $10 bill: 56 times $20 bill: 2 times Based on the data, which bill has an experimental probability of 1/5 of being drawn next?
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Answer: A — $1
28. The number of kites sold each year during a school fundraiser is listed in a table. When the data are ordered, the middle value is 680. What is the median number of kites sold per year?
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Answer: A — 680
29. At Van’s Video Store, 30% of the children’s movies are animated. If one children’s movie is chosen at random, what is the probability it will be animated?
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Answer: F — 0.30
30. Tim wants his mean quiz score to be 90. His first three scores were 86, 92, and 94. What score must he earn on the fourth quiz to have an average of exactly 90?
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Answer: B — 88
31. Three families each have three members: Guevara family: Mariah, Stephen, Joseph Jackson family: Sean, Zachary, Mary Farris family: Hannah, Erin, Edward How many different teams of three can be formed with one member from each family?
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Answer: J — 27
32. A school club recorded weekly attendance as follows: 12, 9, 20, 15, 13, 8, 16, 12, 18, 10, 26, 14, 24, 17, 18 Which statement is best supported by the data?
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Answer: C — There are two modes.
33. A box-and-whisker plot of video rentals shows a minimum of 10, a lower quartile of 35, a median of 60, an upper quartile of 65, and a maximum of 90. What is the lower quartile?
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Answer: H — 35
34. The rosebushes in Pattie’s Plant Store are 20% yellow, 50% red, and 30% pink. If George selects one rosebush at random, what is the probability it will produce yellow blooms?
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Answer: A — 0.20
35. A box-and-whisker plot of dinner prices shows a minimum of $15 and a maximum of $65. What is the range of the prices?
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Answer: H — 50
36. Which scatterplot best represents no significant relationship between people’s heights and the amount of money they spend on food each week?
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Answer: B — Scatterplot with no clear pattern
37. Jackie may choose from 3 shirts, 2 pairs of pants, and 3 pairs of shoes. How many different outfits consisting of 1 shirt, 1 pair of pants, and 1 pair of shoes can she make?
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Answer: J — 18
38. Kirk wrote the pattern: 0, 2, 5, 9, 14, 20. The differences increase by 1 each time (+2, +3, +4, +5, +6). If this pattern continues, what will be the 9th number?
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Answer: C — 44
39. Which phrase best represents the expression 5/n + 7?
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Answer: F — Seven added to the quotient of five and a number
40. Which represents all values of u that make u + 5 > 7 true?
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Answer: A — u > 2
41. What value of p makes p − 4.5 = 2.5 true?
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Answer: J — 7.0
42. What is the solution to the equation c/10 = 40?
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Answer: D — c = 400
43. Which equation represents the statement “Four less than a number n is equal to fifteen”?
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Answer: F — n − 4 = 15
44. Ginger spent $24 at the fair, which was three times the amount she spent last year. How much did she spend last year?
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Answer: A — $8
45. The statement 6z > 36 is an example of which?
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Answer: H — An inequality
46. A large box contains 11 smaller boxes of raisins and costs $2.75 total. Each small box costs the same amount. Which equation could be used to find d, the cost of one small box?
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Answer: A — 11d = 2.75
47. A graph shows a straight line through the origin where profit increases by 2 units for every 1 unit of time. Which equation represents the relationship between time t and profit P?
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Answer: C — P = 2t
48. Which is an expression?
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Answer: F — 5x + 3
49. During a winter night, the low temperature was recorded at 19°F. The wind-chill temperature that same night was −7°F. What was the difference between the wind-chill temperature and the low temperature?
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Answer: C — 26°F
50. Patti answered 12 of the 15 questions on her test. What percent of the questions did Patti answer?
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Answer: B — 75%
Grade 7 Math SOL practice test — FAQ
Are these Grade 7 Math SOL practice questions free?
Yes — this Grade 7 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 7 Math SOL practice questions are there?
Across all sets, there are 140 Grade 7 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 7 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.