Grade 6 Math SOL Practice Test — Set 1 of 5
216 free Grade 6 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. Which is less than 1.064?
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Answer: C — 1.171
2. The table below shows approximate decibel levels of different sounds: A leaf falling: 5.3 decibels A person shouting: 65.4 decibels Thunder: 100.0 decibels The sound of an airplane taking off is about 2.2 times louder than a person shouting. Which is the best estimate of the decibel level of an airplane taking off?
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Answer: G — 140
3. Tim mails two boxes of cookies to friends. One box weighs 13 pounds, and the other weighs 22 pounds. What is the total weight of the two boxes?
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Answer: D — 40 pounds
4. Lisa is having a meeting at her house. There are 48 members at the meeting. She estimates each member will drink 32 ounces of punch. Each bottle of punch contains 64 ounces. Which is the best estimate for the number of bottles of punch Lisa needs to buy?
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Answer: H — 25
5. Sandra wants to buy 2 gallons of detergent. The table below shows the sale price of four different brands of detergent: Ultra Clean: 1 gallon for $6.50 Fresh All: 0.5 gallon for $2.00 Mega Wash: 0.5 gallon for $3.10 No More Stains: 2 gallons for $11.00 Which of the following is the least expensive way for Sandra to buy 2 gallons of detergent?
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Answer: A — Buying 4 bottles of Fresh All
6. Every week Sam saves $1.00 on Monday and $2.50 on Friday. If this is his total weekly savings, how many weeks would it take him to save enough to buy a $49 wireless phone?
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Answer: G — 14 weeks
7. Which fraction is equivalent to ( (12)/(18) )?
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Answer: C — ( (2)/(3) )
8. Risa drank ( (3)/(4) ) glass of lemonade. Fola drank ( (1)/(2) ) glass of lemonade. If the glasses held the same amount of lemonade, how much more did Risa drink than Fola?
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Answer: G — ( (1)/(2) ) glass
9. The table below shows a team’s weekly running schedule: Monday: 5 miles Tuesday: 4 miles Wednesday: 6 miles Thursday: 3 miles Friday: 5 miles What is the total distance the team will run in 4 weeks?
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Answer: D — 94 miles
10. The Taco Plate costs $6.99. It includes 2 tacos, rice, and beans. Buying rice, beans, and 2 tacos separately costs about $9.00. Which is the best estimate of the difference in cost?
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Answer: F — $2
11. Which is equivalent to 50%?
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Answer: C — 15%
12. Which of the following is a composite number?
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Answer: G — 15
13. The ratio of boys to girls in Room B is 15 to 12. What is the ratio of girls to total students in Room B?
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Answer: A — 12 to 27
14. What is the greatest common factor of 12 and 20?
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Answer: G — 4
15. Which of the following is true?
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Answer: B — 0.325 > 0.310
16. Which is a prime number?
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Answer: H — 37
17. Lou is making a pizza that has a radius of 9 inches. Which is closest to the area of the pizza?
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Answer: G — 254.34 square inches
18. Which statement is true about both a pyramid and a cone?
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Answer: A — Both have at least one vertex.
19. Which word does not apply to every rectangle?
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Answer: D — Rhombus
20. Two rectangular tables are pushed together. One table measures 6 feet by 3 feet, and the other measures 4 feet by 3 feet. What is the total area of the tops of the two tables together?
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Answer: H — 36 square feet
21. Anna rode her bicycle 12.4 kilometers. How many meters did she ride?
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Answer: H — 12,400 meters
22. A clerk recorded the number of pairs of jeans sold each day. The stem-and-leaf plot shows values ranging from 9 to 58, with multiple occurrences of 25. Which statement is true?
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Answer: D — The mode is 25.
23. The table below shows travel times to school (in minutes): 14, 10, 6, 18, 13, 10, 9, 15, 10. What is the range of the data?
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Answer: D — 12 minutes
24. Seth’s CD player has 12 songs total. Three of the songs are by the artist Sound Off. What is the probability that the next song played will be by Sound Off?
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Answer: B — ( (1)/(4) )
25. Which statement is false?
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Answer: A — A set of data always has a mode.
26. What is the median of the set 195, 203, 206, 217, 230, 243, 243?
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Answer: B — 217
27. What value of p makes the equation (14p = 182) true?
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Answer: A — 13
28. Based on the pattern for powers of 10, which is equivalent to 100,000,000?
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Answer: C — (10^8)
29. Which is an equation?
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Answer: F — (h - 5 = 8)
30. A pattern starts as 1, 4, 16, 64. Each term is multiplied by the same number. What is the 6th term?
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Answer: D — 1,024
31. The pattern 405, 135, 45, 15 is formed by performing the same operation on each previous number. Which operation was used?
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Answer: F — Divide by 3
32. A variable is —
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Answer: H — a symbol used to represent an unspecified member of a set
33. Which expression is best represented by the model showing three equal groups, each containing one whole unit and three tenths of a unit (1.3), combined together?
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Answer: B — 3.1
34. The value of (85 0.8) is —
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Answer: B — greater than 85 because the divisor is a value between 0 and 1.
35. A number line shows points at −21, −18, −15, −12, −9, −6, −3, and 0. A model highlights a jump of −6 repeated three times to reach −18. Which equation is represented?
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Answer: G — 3(−6) = −18
36. Which number is less than −8?
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Answer: A — −10
37. Which statement best describes a number that is a perfect square?
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Answer: H — 36 is a perfect square because (6^2 = 36).
38. Nigel has 3 rolls of ribbon. Each roll has 83 feet of ribbon. It takes 13 feet of ribbon to make one bow. What is the total number of bows that Nigel can make using these 3 rolls of ribbon?
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Answer: B — 15 bows
39. Wayne and Dani each draw congruent circles and mark the center point Q. Wayne draws a line segment from one point on the circle, through the center Q, to the opposite side of the circle. Dani draws a line segment from the center Q to a point on the circle. Which statement best describes the line segments?
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Answer: F — Wayne’s line segment shows a diameter, and Dani’s line segment shows a radius.
40. The diameter of the circular base of a storage container is 18.8 meters. The circumference of the base is approximately 59 meters. Which of these could be used to approximate the value of π?
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Answer: D — ( (59)/(18.8) )
41. A rectangle and a shaded triangle have the same base of 6 units and the same height of 3 units. The triangle occupies exactly half the area of the rectangle. The area, in square units, of the shaded triangle can be represented as —
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Answer: G — (0.5 * 3 * 6)
42. A class will collect data to determine which afterschool event is the favorite for students to attend. Which method would result in data most representative of the entire school population?
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Answer: D — Survey every fifth student who enters the cafeteria during each lunch period.
43. Timothy ordered 150 sandwiches on Monday. A circle graph shows that turkey sandwiches make up about one-third of the total. Which is closest to the total number of turkey sandwiches Timothy ordered?
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Answer: H — 50
44. Porter recorded the lengths of 8 earthworms, rounded to the nearest inch. A circle graph shows: • 37.5% are less than 5 inches • 50% are between 5 and 6 inches • 12.5% are greater than 6 inches A line plot shows the same data, with X marks at 3, 4, 5, 5, 6, 6, 6, and 7 inches. What information can be determined from both the circle graph and the line plot?
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Answer: C — The percent of earthworms greater than 6 inches long
45. A line plot shows the number of letters in the names of 7 students with values at 5, 6, 6, 7, 7, 8, and 9 letters. Each X represents 1 student. What is the balance point for this set of data?
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Answer: H — 7 letters
46. The table shows the number of minutes 10 students spent completing homework one night: 4, 50, 80, 45, 50, 65, 45, 85, 50, 45. The teacher removes the outlier from the data and recalculates the measures of center and spread. When the outlier is removed from the data, the —
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Answer: C — mean increases
47. Cole used ( (2)/(11) ) of his time reading his notes and ( (4)/(11) ) of his time completing problems. He used the rest of his time reviewing his textbook. If Cole spent 88 minutes total, he reviewed his textbook for exactly —
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Answer: H — 44 min
48. An equation mat shows 5 identical groups on one side and 6 identical groups on the other side, using the same unit symbol for each group. Which equation best represents the equation mat shown?
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Answer: G — (y + 5 = 6)
49. What is the value of m for this equation? (18 = 6m)
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Answer: A — 3
50. Which statement is true?
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Answer: D — −12 is a solution to (x > −12) because −12 = −12
Grade 6 Math SOL practice test — FAQ
Are these Grade 6 Math SOL practice questions free?
Yes — this Grade 6 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 6 Math SOL practice questions are there?
Across all sets, there are 216 Grade 6 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 6 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.