Virginia SOL-style Practice Test 1 — Mathematics (Grade 6)
A free Virginia Standards of Learning (SOL) tests practice paper for Grade 6 in the format of the real test: 40 questions in 80 minutes, covering Section A — No calculator (Questions 1–10); Section B — Calculator allowed (Questions 11–40). Suggested time 80 minutes (the real test is untimed). Section A (questions 1–10): no calculator. Section B (questions 11–40): you may use a calculator. Choose the best answer or type your answer in the box. Use 3.14 for π. Answer every question. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
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Q1. Which list shows these numbers in order from least to greatest?
0.45, 3/8, 42%, 2/5
Q2. What is the value of 43?
Q3. Which list shows these integers in order from least to greatest?
−3, 5, −8, 0, 2
Q4. Multiply: 3/4 × 2/3 = ?
Write your answer as a fraction.
Q5. What is 21/2 ÷ 3/4?
Q6. What is the value of −6 + 14 − (−3)?
Q7. What is the value of 18 − 2 × (−3)?
Q8. What value of x makes this equation true?
x + 7 = −2
Q9. A pancake recipe uses 3 cups of flour for every 2 cups of milk. How many cups of flour are needed for 10 cups of milk? cups
Q10. In which quadrant of the coordinate plane is the point (−4, 3) located?
Q11. The grid has 100 equal squares. Which pair of numbers both represent the shaded part of the grid?
Q12. Which statement is true?
Q13. A square garden has an area of 196 square feet. What is the length of one side of the garden? feet
Q14. Which expression has the greatest value?
Q15. Which number is greater than 5/8 and less than 0.7?
Q16. Maya has 63/4 yards of ribbon. She cuts it into pieces that are each 3/4 yard long. How many pieces does she cut?
Q17. A rectangular flower bed is 41/2 feet long and 22/3 feet wide. What is the area of the flower bed? square feet
Q18. A submarine is at −120 feet (120 feet below sea level). It rises 45 feet. Then it dives down 3 times as far as it rose. What is its new position?
Q19. Jordan buys 3 notebooks that cost $2.49 each and one pen that costs $1.85. He pays with a $20 bill. How much change, in dollars, should he get? dollars
Q20. A circular clock face has a diameter of 14 inches. What is the circumference of the clock face? Use 3.14 for π.
Q21. A circular rug has a radius of 5 feet. What is the area of the rug? Use 3.14 for π.
Q22. What is the area of the triangle?
Q23. What is the area of the parallelogram?
Answer: square centimeters
Q24. Point A is at (−3, 4) and point B is at (5, 4) on a coordinate plane. What is the distance between point A and point B?
Q25. A rectangle is drawn on a coordinate plane. Its vertices are (−4, 3), (2, 3), (2, −5), and (−4, −5). What is the perimeter of the rectangle? units
Q26. Triangle ABC is congruent to triangle DEF, with A matching D, B matching E, and C matching F. Which side of triangle DEF is congruent to side BC?
Q27. The circle graph shows the favorite sports of 200 students. How many more students chose soccer than baseball?
Q28. Which set of data would be best shown in a circle graph?
Q29. Kira's math test scores were 84, 90, 76, 88, and 92. What is the mean of her scores?
Q30. The numbers of laps six students swam are 12, 7, 15, 9, 20, and 11. What is the median number of laps?
Q31. The data set 22, 25, 24, 23, 26 has a mean of 24. The value 60 is added to the data set. How does the mean change?
Q32. The dot plot shows the number of hours 8 students practiced piano last week. The mean is the balance point of the data. What is the mean?
Q33. The mean of five numbers is 18. Four of the numbers are 15, 22, 12, and 25. What is the fifth number?
Q34. Seven students recorded how many books they read in a month: 4, 7, 3, 7, 10, 2, 5. What is the range of the data?
Q35. A 12-ounce box of cereal costs $3.48. What is the unit price of the cereal?
Q36. A store sells peanut butter in four sizes. Which size is the best buy (lowest price per ounce)?
Q37. Leah spent $17 on a gift. She has $38 left. Which equation can be used to find m, the amount of money Leah had before she bought the gift?
Q38. Solve for n: 4n = −52
Q39. Which inequality is shown on the number line?
Q40. The graph of a proportional relationship is a straight line through the origin, (0, 0), and the point (4, 10). Which other point is also on this line?
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