Grade 5 Math SOL Practice Test — Set 5 of 6

Set 5 of 6 — 50 more free Grade 5 Math SOL practice questions from official VDOE released tests.

  1. 1. Which of the fractions shown below has the same value as 0.7?

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    Answer: C — 7/10

  2. 2. The table shows the distance that four athletes jumped in the long jump (in feet). Joshua: 10.318 Kara: 10.364 Louis: 10.029 Sara: 10.151 Which of the following is a true statement?

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    Answer: F — 10.364 > 10.029

  3. 3. Which is true?

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    Answer: C — 6.982 > 6.981

  4. 4. Which fraction goes in the blank so that this list is in order from least to greatest? 1/4, 0.4, ___, 2/3, 0.75

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    Answer: G — 1/2

  5. 5. How is 4.026 written in words?

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    Answer: B — Four and twenty-six thousandths

  6. 6. What is 29.74 rounded to the nearest tenth?

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    Answer: H — 29.7

  7. 7. Which number is read “two and thirteen hundredths”?

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    Answer: C — 2.13

  8. 8. Which group of numbers is listed in order from least to greatest?

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    Answer: G — 0.1, 0.4, 3/4, 9/10

  9. 9. In a circle, point O is the center. Points M, N, T, R, and S lie on the circle. M is directly opposite S across the center. T is directly opposite R across the center. N is not directly opposite any labeled point. Which two points appear to make a diameter when connected with a straight line?

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    Answer: F — M and S

  10. 10. Which unit could be used for measuring the amount of liquid needed to fill a small teacup?

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    Answer: D — Milliliter

  11. 11. What is the perimeter of a rectangle that is 6 inches long and 4 inches wide?

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    Answer: G — 20 inches

  12. 12. An angle opens wider than a right angle but smaller than a straight angle. Which is closest to the measure of this angle?

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    Answer: H — 80°

  13. 13. Four figures are described below: Figure S has three sides. Figure T has five sides. Figure W has four sides. Figure X has six sides. Which figure is a quadrilateral?

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    Answer: D — Figure X

  14. 14. A map of Virginia shows Frank’s flight from Charlottesville to Roanoke, then from Roanoke to Richmond. Charlottesville is east of Roanoke, and Richmond is east of Charlottesville. The angle formed at Roanoke by these two flight paths is less than 90 degrees. Which best describes the angle formed by the two flight paths?

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    Answer: A — Acute

  15. 15. Tom left home at 7:15 a.m. to go to work. He returned home at 4:45 p.m. What is the total amount of time Tom was away from home?

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    Answer: J — 9 hours, 30 minutes

  16. 16. Which statement is true?

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    Answer: B — A cube is a type of rectangular prism.

  17. 17. A group of students were asked to name their favorite circus animal. The table shows the results. Favorite Circus Animals Lion: 48 Tiger: 36 Bear: 32 Elephant: 54 Horse: 40 What is the mean (average) of this set of data?

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    Answer: A — 42

  18. 18. Brent is using a spinner divided into 8 equal sections labeled 1 through 8. What is the probability the arrow will land on a section labeled 4 or 5 on Brent’s next spin?

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    Answer: G — 2/8

  19. 19. Mrs. Garrison has several sheets of wrapping paper of different kinds. Which of the following questions about these sheets of wrapping paper could you use probability to solve?

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    Answer: D — If Mrs. Garrison picks 1 sheet of wrapping paper without looking, what kind will it most likely be?

  20. 20. The table shows the number of pages Laura read each night for a week. Pages Read by Day Sunday: 17 Monday: 22 Tuesday: 20 Wednesday: 21 Thursday: 19 Friday: 17 Saturday: 24 What number of pages is the mode of this set of data?

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    Answer: F — 17

  21. 21. Matt has two coins to flip. Each coin has an equal chance of landing on heads or tails. Which question about the coins requires knowledge of probability?

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    Answer: D — What is the chance both coins will land on heads after one flip?

  22. 22. A bar graph shows the total cost of a large jar of Mindy’s peach jam at four stores. The costs are: Drake’s: $4.00 Hoskin’s: $3.00 Jenner’s: $5.00 Park’s: $2.00 Between which two stores was there the greatest difference in total cost?

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    Answer: C — Drake’s and Park’s

  23. 23. A line graph shows how the water level below a bridge changed during the week. The water level on Monday was 25 feet. On Wednesday, it was 10 feet. How many feet lower was the water level on Wednesday than on Monday?

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    Answer: H — 15 ft

  24. 24. Which of these could be solved by using the open sentence S − 7 =?

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    Answer: B — Blanche collected 7 fewer seashells than Connie. If S is the number of seashells that Connie collected, how many did Blanche collect?

  25. 25. In the expression m − 3, the letter m represents —

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    Answer: J — an unknown number

  26. 26. A rule was used to make the pattern shown below. 51, 45, 39, 33, 27, 21, … Which could be the rule used to make the pattern?

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    Answer: A — Subtract 6

  27. 27. A rule was used to make the pattern shown. 56, 49, 42, 35, 28, 21 Which could be the rule?

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    Answer: H — Subtract 7

  28. 28. Marcus had twice as many jawbreaker candies as Lyndon. If J represents the number of jawbreaker candies Lyndon had, which number sentence could be used to find the number of these candies Marcus had?

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    Answer: B — J × 2 =?

  29. 29. Which represents the unknown value in the following statement? t × 3 = 36

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    Answer: F — t

  30. 30. A number machine uses a rule to change numbers. The machine changes 8 to 2, 12 to 6, and 14 to 8. Which of the following could be the rule this number machine used?

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    Answer: J — Input − 6 = Output

  31. 31. If n represents a number, which means the same as the expression n ÷ 7?

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    Answer: A — A number divided by seven

  32. 32. Abel saw a tile pattern made by repeating a sequence of tiles. The repeating sequence contains three tiles and repeats in the same order throughout the pattern. Which could be the rule used to make the tile pattern?

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    Answer: G — Repeat the first 3 tiles in the same order

  33. 33. The difference of 21,234 and 19,078 is best described as —

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    Answer: C — a little more than 2,000

  34. 34. 1,234 ÷ 56 =?

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    Answer: A — 22 R2

  35. 35. Lark bought two shirts. One shirt cost $23.47 and the other shirt cost $15.89. The prices include tax. What was the total cost of the two shirts?

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    Answer: B — $39.36

  36. 36. Last week Drew worked 7.9 hours. This week he worked 8.6 hours. How many more hours did he work this week than last week?

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    Answer: C — 0.7

  37. 37. 3.642 ÷ 6 =?

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    Answer: A — 0.607

  38. 38. 5,658 − 100 =?

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    Answer: B — 5,658

  39. 39. 381 + 245 + 579 =?

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    Answer: C — 1,205

  40. 40. 6/12 is equivalent to which whole number?

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    Answer: D — 6

  41. 41. The Smiths plan to drive 1,038 miles to the Grand Canyon. They drive 689 miles the first day. How many miles do they have left to drive?

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    Answer: A — 349

  42. 42. Patsy attended 9 days of arts and crafts camp for a total cost of $306. Each day costs the same amount. What was the cost for each day?

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    Answer: C — $34

  43. 43. Tickets sold at a county fair: Dog Show: 2,260 tickets Craft Booth: 3,031 tickets Whirly Ride: 928 tickets Ferris Wheel: 1,415 tickets What was the total number of tickets sold for these four events?

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    Answer: A — 7,634

  44. 44. A dinosaur’s weight rounded to the nearest thousand pounds is 8,000 pounds. Which could have been the original weight?

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    Answer: B — 8,293 pounds

  45. 45. Which number is read as “fifty-five and twenty-one thousandths”?

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    Answer: D — 55.021

  46. 46. Which digit makes this statement true? 4,837,206 < 4,8_5,379

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    Answer: A — 2

  47. 47. Which fraction has a value greater than 5/6?

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    Answer: D — 11/12

  48. 48. What digit makes the number sentence true? 1.6238 > 1._017

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    Answer: D — 7

  49. 49. A figure is shaded to represent the decimal 0.5. A set of 12 hearts represents a whole. How many hearts must be shaded to show the same value?

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    Answer: C — 6

  50. 50. Magazine sales last year: All Sports: 3,243,810 Teenage: 2,567,613 Music Time: 1,435,267 Young People: 4,261,023 Which magazine sold a number of copies that has a 4 in the ten-thousands place?

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    Answer: A — All Sports

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.