Virginia SOL-style Practice Test 1 — Mathematics (Grade 7)
A free Virginia Standards of Learning (SOL) tests practice paper for Grade 7 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: no calculator. Section B: you may use a calculator. Choose the best answer or type your answer in the box. 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 number is equal to 10−3?
Q2. Write 4.7 × 10−3 as a decimal in standard form.
Q3. Between which two consecutive whole numbers is √90?
Q4. A square rug has an area of 324 square inches. What is the length of one side of the rug? inches
Q5. What is the value of −18 ÷ (−3) + (−4)(2)?
Q6. What is the value of −2/3 − 1/4?
Q7. What value of x makes the equation 3x − 7 = 20 true?
Q8. What value of x makes the equation −(1/4)x + 5 = 2 true?
Q9. A fair number cube has faces numbered 1 through 6. What is the probability of rolling a number greater than 4?
Q10. Which statement is always true?
Q11. Which list shows the numbers in order from least to greatest?
1.35, −1.4, |−1.3|, −3/2
Q12. Which number is the greatest?
Q13. A jacket has a regular price of $64.00. It is on sale for 25% off. A sales tax of 5.3% is then added to the sale price. What is the total cost of the jacket?
Q14. Keisha’s restaurant bill is $42.80. She leaves an 18% tip. What is the total amount she pays, including the tip, rounded to the nearest cent? dollars
Q15. The price of a video game increased from $40 to $52. What is the percent increase in the price? %
Q16. Leo deposits $1,500 in a savings account that pays 3.5% simple interest per year. How much interest will he earn in 4 years?
Q17. A store sells a brand of peanut butter in four sizes.
12 ounces for $3.48
18 ounces for $4.86
24 ounces for $6.72
32 ounces for $9.60
Which size has the lowest price per ounce?
Q18. At 6:00 a.m. the temperature in a mountain town was −7.5°F. The temperature rose 2.25°F each hour until noon. What was the temperature at noon?
Q19. A ribbon is 7 1/2 feet long. Mia cuts it into pieces that are each 5/8 foot long. How many pieces does she cut?
Q20. What is the volume of the cylinder? Use π ≈ 3.14.
Q21. What is the surface area of the rectangular prism?
Answer: square inches
Q22. A closed cylindrical water tank has a radius of 4 feet and a height of 6 feet. What is the total surface area of the tank? Use π ≈ 3.14.
Q23. Triangle ABC is similar to triangle DEF. What is the length of side EF?
Answer: centimeters
Q24. A person who is 5.5 feet tall casts a shadow 4 feet long. At the same time, a nearby tree casts a shadow 26 feet long. The triangles formed are similar. What is the height of the tree?
Q25. Triangle ABC is dilated using a scale factor of 1/2 with the center of dilation at the origin. What are the coordinates of B′, the image of point B?
Q26. A quadrilateral has four congruent sides, and none of its angles are right angles. Which name best describes the quadrilateral?
Q27. A rectangular prism has a volume of 60 cubic centimeters. Its length, width and height are each doubled. What is the volume of the new prism?
Q28. A spinner has 4 equal sections colored red, blue, green and yellow. Ari spins it 80 times and it lands on red 26 times. Which statement is true?
Q29. A bag has 5 red marbles, 7 blue marbles and 8 green marbles. One marble is picked at random. What is the probability that the marble is not blue? Write your answer as a fraction.
Q30. In a random sample of 60 students at a middle school, 18 said soccer is their favorite sport. The school has 450 students. Based on the sample, how many students at the school would be expected to say soccer is their favorite sport?
Q31. The histogram shows the scores of students on a math quiz. Which statement must be true?
Q32. Use the histogram. How many students scored lower than 80 on the quiz?
Answer:
Q33. Which set of data would be best displayed in a histogram?
Q34. The table shows the amount Dante earns for different numbers of hours he works.
Hours worked (x): 2, 4, 6, 8
Amount earned in dollars (y): 7, 14, 21, 28
Which equation represents this proportional relationship?
Q35. The graph shows the cost of buying grapes at a market. What is the unit rate, in dollars per pound?
Q36. Maria has $18.50 saved. She saves $6.25 more each week. After how many weeks will she have exactly $62.25 saved? weeks
Q37. Which inequality is the solution to −2x + 5 > 11?
Q38. The number line shows the solution set of an inequality. Which inequality has this solution set?
Q39. A phone plan costs $25 each month plus $0.15 for each text message sent. Rosa wants her monthly bill to be at most $40. What is the greatest number of text messages she can send in a month? text messages
Q40. Five less than two-thirds of a number is 11. What is the number?
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