Grade 5 Math SOL Practice Test — Set 3 of 6
Set 3 of 6 — 50 more free Grade 5 Math SOL practice questions from official VDOE released tests.
1. Which decimal is equivalent to ( (7)/(10) )?
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Answer: B — 0.7
2. What is 516.823 rounded to the nearest hundredth?
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Answer: J — 516.82
3. Four solid figures are shown. Figures 3 and 4 each have fewer than five faces. Which two of these solid geometric figures have fewer than five faces each?
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Answer: J — 3 and 4
4. Which of the following shows a translation (slide) of a shape across a dotted line, meaning the shape moves without rotating or flipping and remains the same orientation?
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Answer: A — The shape slides directly across the line without changing orientation.
5. Marissa needs to measure the distance between two cities on a small map. Which tool is best to use to measure this distance?
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Answer: J — Ruler
6. Brad began working on a project at 10:15 A.M. He finished the project at 3:26 P.M. How long did it take Brad to complete the project?
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Answer: H — 5 hours 11 minutes
7. Four figures are shown. Figures 2 and 4 are similar but not congruent, meaning they have the same shape but different sizes. Which two figures are similar but not congruent?
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Answer: D — 2 and 4
8. Ms. Perry placed a border around the bulletin board. The length of the border is an example of—
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Answer: H — perimeter
9. Which of the following are the dimensions of a rectangle with a perimeter of 26 inches and an area of 42 square inches?
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Answer: D — Length 6 inches; width 7 inches
10. Point B is the center of a circle. Segment BD goes from the center to a point on the circle. Which of the following best describes BD?
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Answer: G — Radius
11. Which measurement is closest to the amount of milk in one drinking glass?
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Answer: F — 2 cups
12. What is the mean (average) for the following set of data? 7, 4, 24, 20, 35
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Answer: A — 18
13. A box contains 5 red, 4 yellow, and 3 green tiles of equal size. Which question could be answered using probability?
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Answer: A — If Liz selects one tile from the box without looking, which color of tile is she most likely to select?
14. A spinner is divided into 4 equal sections: 2 green sections and 2 blue sections. What is the probability that the arrow will point to a green section in one spin?
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Answer: H — ( (2)/(4) )
15. Julian’s quiz scores are: 77, 85, 86, 88, 88, 89, 89, 91, 93, 94, 97, 99, 99 Which stem-and-leaf plot correctly represents this data?
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Answer: D — Correct stem-and-leaf plot
16. A line graph shows DVD sales increasing each week as follows: Week 1: 200 Week 2: 400 Week 3: 600 Week 4: 700 Week 5: 800 Based on this trend, which is the best prediction of the number of DVDs that will be sold during week 6?
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Answer: C — 800
17. What is the mode for the following set of numbers? 6, 10, 8, 7, 9, 8, 9, 7, 7
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Answer: G — 7
18. Which of these could be solved by using the open sentence (9 - 3 = p)?
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Answer: A — Alexa had 9 parakeets. She gave 3 to Gabby. How many parakeets did Alexa have left?
19. Which is the variable in the expression (5n + 2)?
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Answer: G — n
20. There are a total of y students in Mr. Smith’s classroom. Which expression represents the number of students when 3 students are absent?
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Answer: G — (y - 3)
21. Mr. Tanner bought 4 books of stamps. Each book contained the same number of stamps. If s represents the number of stamps in each book, which equation shows the total number of stamps bought?
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Answer: A — (s * 4)
22. Bill divides 1,152 trading cards equally among 8 friends and writes the equation (1,152 8 = x). What does x represent?
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Answer: F — The number of cards each person will receive
23. Darius has 25 marbles separated into g equal groups. Which expression represents the number of marbles in each group?
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Answer: A — (25 g)
24. Which problem could be solved using the open sentence (2x = 6)?
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Answer: H — Gabe washed the same number of loads each day for 2 days and washed 6 loads total.
25. Raymond has three times as many trading cards as David, who has 34 cards. Which number sentence could be used to find r, the number of cards Raymond has?
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Answer: C — (r = 3 * 34)
26. Tiffany’s savings increase by $7 each month as follows: Month 1: $7 Month 2: $14 Month 3: $21 Month 4: $28 Month 5: $35 Month 6: $42 If the pattern continues, how much money will Tiffany have after 9 months?
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Answer: H — $63
27. 0.221 + 7 =
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Answer: D — 6.03
28. Using the order of operations, which calculation should be done first to simplify this expression? 54 + 6 × (3 + 4) + 6 + 3
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Answer: A — 3 + 4
29. Which expression represents the prime factorization of 75?
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Answer: C — 3 × 5 × 5
30. Destiny is delivering a total of 32,000 flowers to several stores. She has already delivered 9,294 flowers to Store Q and 18,104 flowers to Store P. What is the total number of flowers Destiny still needs to deliver?
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Answer: H — 8,810
31. A farmer picks 1,457 apples and 678 pears. She fills baskets using these pieces of fruit. Each basket holds 24 pieces of fruit. What is the total number of baskets the farmer can completely fill?
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Answer: D — 88
32. What is the least common denominator for 1/12 and 1/8?
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Answer: H — 24
33. A trail is 3 miles long. Robert ran the full length of the trail 2 times. What is the total number of miles Robert ran?
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Answer: C — 6 miles
34. Mason has one brick and 5 wood blocks. The brick has a mass of 2.27 kilograms. Each wood block has a mass of 1.097 kilograms. What is the difference between the combined mass of the 5 wood blocks and the mass of the brick?
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Answer: F — 7.755 kilograms
35. Ms. Collins bought 2 CDs for $14.55 each and 3 DVDs for $10.39 each. These prices include tax. She gave the cashier $65.00. How much change should Ms. Collins receive?
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Answer: B — $5.27
36. The distances between four points on a map are shown in order from left to right as points A, B, C, and D. The distance from A to B is 4.5 cm. The distance from B to C is 6 cm. The total distance from A to D is 15.75 cm. What is the distance from point C to point D on the map?
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Answer: F — 5.25 cm
37. A right triangle is shaded inside a rectangle. The rectangle has a width of 8 units and a height of 5 units. The triangle has legs measuring 3 units and 4 units. Which expression could be used to find the area, in square units, of the triangle?
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Answer: A — (3 × 4) ÷ 2
38. Which term best describes the amount of jelly a jar will hold?
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Answer: C — Volume
39. A storage container is shaped like a rectangular prism. Its length is 15 meters, width is 5 meters, and height is 8 meters. What is the volume of this storage container?
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Answer: A — 600 cubic meters
40. Brady designs a garden on grid paper where each grid square represents 1 square meter. The garden covers 24 square units in total. The outer boundary of the garden measures 21 meters. Which best describes the area and perimeter of the garden?
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Answer: H — Area of 24 square meters and perimeter of 21 meters
41. Four angles are shown. Angle 1 measures 45°. Angle 2 measures 90°. Angle 3 measures 120°. Angle 4 measures 180°. Which angle is an obtuse angle?
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Answer: C — Angle 3
42. Which figure appears to be an isosceles triangle (a triangle with exactly two equal sides)?
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Answer: A — A triangle with side lengths 3 cm, 3 cm, and 5 cm
43. Which pattern follows the rule “divide by 4” to find each number after the first?
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Answer: B — 256, 64, 16, 4
44. Seven students rode bicycles for a fundraiser. The number of miles ridden by each student during the first four days is: 10, 18, 10, 15, 18, 22, and 15 miles. Which question cannot be answered using only this data?
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Answer: H — What is the number of miles the students rode each day?
45. Based on the data in Question 18, what is the median number of miles ridden?
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Answer: C — 18, because it is the middle number when the data are ordered from least to greatest
46. A principal wants to know the number of days each student was absent from school last month. Which question would best collect this data?
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Answer: J — What is the number of days each student was absent last month?
47. Over ten days, Tammie received the following numbers of envelopes in the mail: 3, 4, 5, 6, 7, 8, 6, 7, 8, 6 How many days did Tammie receive at least 6 envelopes?
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Answer: D — 7
48. Irma has 5 bowls containing beads. She combines all the beads and then redistributes them equally into the 5 bowls. The number of beads placed in each bowl represents the —
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Answer: G — fair share
49. The data sets show daily low temperatures, in degrees Fahrenheit, for four cities.
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Answer: C — 42, 41, 43, 48, 44
50. 6.4 + 48 =
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Answer: C — 16.2
Grade 5 Math SOL practice test — FAQ
Are these Grade 5 Math SOL practice questions free?
Yes — this Grade 5 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 5 Math SOL practice questions are there?
Across all sets, there are 399 Grade 5 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 5 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.