Virginia SOL-style Practice Test 1 — Mathematics (Grade 5)
A free Virginia Standards of Learning (SOL) tests practice paper for Grade 5 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. Questions that are drag-and-drop, hot spot or select-all on the real test are shown here as multiple-choice or fill-in questions. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
Free · attempted online · no download
Q1. What is the value of the digit 7 in the number 58.274?
Q2. Which list shows these decimals in order from least to greatest?
0.45, 0.405, 0.5, 0.054
Q3. Which number is composite?
Q4. Round 36.482 to the nearest tenth.
Q5. Which decimal is equal to 3/8?
Q6. What is the value of this expression?
48 ÷ (6 + 2) × 3 − 5
Q7. Add. Write your answer as a fraction in simplest form.
2/3 + 1/4 =
Q8. Which is the best estimate of 412 × 29?
Q9. Subtract.
5 3/4 − 2 5/6 =
Q10. The numbers in this pattern increase by the same amount each time. What is the next number?
2.4, 2.75, 3.1, 3.45, ___
Q11. Which comparison is true?
Q12. The distance from 4 to 5 on this number line is divided into equal parts. Which decimal names point P?
Q13. How many prime numbers are between 20 and 40?
Q14. Ms. Ortiz bought 3 notebooks for $2.49 each and a pack of pens for $4.75. She paid with a $20 bill. How much change should she get? dollars
Q15. 347 students are going on a field trip. Each bus can carry 24 students. What is the fewest number of buses needed so that every student has a seat?
Q16. A rope 12.6 meters long is cut into 4 pieces of equal length. How long is each piece?
Q17. Luis ran 3/4 of a mile each day for 6 days. How many miles did he run in all? miles
Q18. Maya uses 3/4 cup of flour for one batch of muffins. She makes 6 batches. How many cups of flour does she use in all?
Q19. A theater has 28 rows with 36 seats in each row. Tickets were sold for 875 of the seats. How many seats were not sold?
Q20. A triangle has one right angle and no sides that are the same length. Which name best describes the triangle?
Q21. What is the measure of angle x in this triangle?
Answer: degrees
Q22. What is the area of this right triangle?
Q23. A fish tank is shaped like a rectangular prism. It is 20 inches long, 10 inches wide, and 12 inches tall. What is the volume of the tank? cubic inches
Q24. A rectangular garden has a perimeter of 46 feet. The garden is 15 feet long. What is the area of the garden?
Q25. Point O is the center of the circle. Which segment is a chord but is not a diameter?
Q26. Soccer practice started at 10:50 a.m. and lasted 2 hours 35 minutes. At what time did practice end?
Q27. A water bottle holds 750 milliliters. How many liters of water do 4 full bottles hold? liters
Q28. All the corners of this patio are right angles. What is the area of the patio?
Answer: square feet
Q29. The spinner has 8 equal sections. What is the probability that the arrow lands on Blue on one spin?
Q30. A sandwich shop has 3 kinds of bread (white, wheat, rye) and 4 fillings (turkey, ham, cheese, tuna). Each sandwich uses one bread and one filling. How many different sandwiches are possible?
Q31. Five students scored 84, 91, 76, 88, and 91 points on a quiz. What is the mean (average) score?
Q32. The stem-and-leaf plot shows the points a basketball team scored in 10 games.
Points Scored by a Basketball Team
Stem | Leaf
2 | 3 5 8
3 | 0 1 4 7 7
4 | 1 6
Key: 2 | 3 means 23 points
What is the median number of points?
Q33. The line plot shows the lengths of 10 pieces of yarn. What is the total length of all 10 pieces?
Q34. The line graph shows the temperature at different times on Saturday. Between which two times did the temperature increase the most?
Q35. A bag has 5 red marbles, 3 green marbles, and 4 yellow marbles. Jada picks one marble without looking. What is the probability that the marble is not green? Write your answer as a fraction in simplest form.
Q36. Tickets to a science museum cost $8 each. Which expression shows the total cost, in dollars, of t tickets?
Q37. The table shows input and output numbers.
Input: 3, 5, 8, 12
Output: 12, 20, 32, 48
Which rule works for every input and output pair?
Q38. Maya had some stickers. She gave 18 stickers to her brother and had 45 stickers left. The equation s − 18 = 45 shows this. What is the value of s?
Q39. Jamal saved the same amount of money, w dollars, each week for 6 weeks. Then he got $15 for his birthday. Now he has $87. Which equation can be used to find w?
Q40. Which expression is equal to 7 × (20 + 6)?
Want your child to practise with expert guidance?
A Mathkari teacher works one-to-one with your child, live online, and tells you exactly what to work on next. The first lesson is a demo class.