Virginia SOL-style Practice Test 1 — Mathematics (Grade 8)
A free Virginia Standards of Learning (SOL) tests practice paper for Grade 8 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 irrational? (In 0.444…, the digit 4 repeats forever.)
Q2. A cube-shaped box has a volume of 343 cubic inches. What is the length of one edge of the box? inches
Q3. Which list shows these numbers in order from least to greatest?
√10, 3.1, π, 19/6
Q4. Which list names every set of numbers that −√36 belongs to?
Q5. Which expression is equivalent to 3(2x − 5) − 4x + 7?
Q6. Solve for x: 5x − 7 = 2x + 11
Q7. Which relation is a function?
Q8. Angle A and angle B are complementary. The measure of angle A is 4 times the measure of angle B. What is the measure of angle B? degrees
Q9. Mr. Lee's lunch costs $24.00. He leaves a 15% tip. What is the total cost of his lunch, including the tip?
Q10. A bag holds 3 red marbles and 5 blue marbles. Nia picks one marble without looking and does not put it back. Then she picks a second marble. What is the probability that both marbles are red?
Q11. A square rug has an area of 110.25 square feet. What is the length of one side of the rug? feet
Q12. Which point on the number line best represents √55?
Q13. The table shows some values of a linear function.
x: 2, 5, 8, 11
y: 7, 13, 19, 25
Which equation represents the function?
Q14. The price of a gallon of milk increased from $3.20 to $3.68. What was the percent increase in the price?
Q15. Which set of side lengths could form a right triangle?
Q16. A spinner has 5 equal sections numbered 1, 2, 3, 4 and 5. Jamal spins the spinner once and flips a fair coin once. What is the probability that the spinner lands on an even number and the coin lands on heads?
Q17. A plumber charges a $65 service fee plus $48 for each hour of work. Which equation shows the total charge, y, in dollars, for x hours of work?
Q18. A paper cup is shaped like a cone. The radius of the top is 3 inches and the height is 8 inches. What is the volume of the cup, to the nearest tenth of a cubic inch? Use 3.14 for π.
(Volume of a cone: V = 1/3πr2h)
Q19. Deshawn deposits $2,500 in a savings account that earns 3.2% simple interest per year. How much interest will he earn in 4 years? (Simple interest: I = prt) dollars
Q20. The box plot shows the number of points a basketball team scored in each game this season. What is the interquartile range of the data?
Answer: points
Q21. Which inequality is the solution to −3x + 7 ≥ 22?
Q22. A rectangular park is 90 meters wide and 120 meters long. A straight path goes from one corner of the park to the opposite corner. How long is the path?
Q23. A bike has a regular price of $180. It is on sale for 30% off. Sales tax of 5.3% is added to the sale price. What is the total cost of the bike?
Q24. The scatterplot shows the outside temperature and the cost of heating a house on 14 different days. Which statement best describes the relationship shown?
Q25. What is the slope of the line shown on the coordinate plane? The two marked points are on the line.
Answer:
Q26. A tent is shaped like a square-based pyramid. Each edge of the square base is 12 feet long, and the height of the tent is 10 feet. What is the volume of the tent?
(Volume of a pyramid: V = 1/3Bh) cubic feet
Q27. The population of a town decreased from 12,500 people to 11,750 people. What was the percent decrease?
Q28. Use the box plot of points scored per game. Which statement about the data is true?
Q29. What is the distance between point R and point S?
Q30. Jada has $40. She buys a book for $12.50. She wants to spend the rest of her money on pens that cost $1.75 each. What is the greatest number of pens she can buy?
Q31. A square-based pyramid has base edges of 10 centimeters. The slant height of each triangular face is 12 centimeters. What is the total surface area of the pyramid?
Q32. Which situation describes dependent events?
Q33. Which number line shows the solution to 4x − 5 < 2x + 3?
Q34. Lines JL and KM intersect at point P. What is the measure of angle JPK?
Q35. After a 20% discount, a jacket costs $68. What was the original price of the jacket?
Q36. The scatterplot shows how many hours some students practiced and their test scores. A line of best fit is drawn. Use the line of best fit to predict the test score of a student who practices for 7 hours.
Answer: points
Q37. The figure is made of a rectangle and a semicircle. What is the area of the figure, to the nearest tenth of a square foot? Use 3.14 for π.
Q38. The Garcia family's dinner bill is $84.50 before tax. They pay a 6.5% meals tax on the $84.50 and leave a 20% tip on the $84.50. What is the total amount they pay, to the nearest cent? dollars
Q39. A rectangular prism is 6 cm long, 4 cm wide and 5 cm tall. Its length is doubled to 12 cm; the width and height do not change. By how many square centimeters does the surface area increase? square centimeters
Q40. Solve for x: 2/3(x + 6) = x − 5
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