Grade 7 Math SOL Practice Test — Set 2 of 3

Set 2 of 3 — 50 more free Grade 7 Math SOL practice questions from official VDOE released tests.

1. 1. Jerri was looking at a map with the following scale: 1 inch represents 3 miles. Jerri measured 3 inches between two towns on the map. What is the distance between the two towns?

   A18 milesB2 milesC9 milesD3 miles
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   Answer: A — 18 miles

2. 2. The Wheelers’ bill at a restaurant is $63.00. How much money should Mr. Wheeler leave as a 15% tip?

   A$78.00B$72.45C$9.45D$5.00
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   Answer: C — $9.45

3. 3. A tree casts a shadow 9 meters long. At the same time, a building 54 meters tall casts a shadow 21 meters long. To the nearest meter, what is the height of the tree?

   A4 mB18 mC23 mD126 m
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   Answer: C — 23 m

4. 4. Chris put $1,500 into a savings account at an annual interest rate of 5%. If no money is deposited or withdrawn, how much interest will Chris earn in the first year?

   A$750B$500C$75D$50
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   Answer: C — $75

5. 5. A store advertisement reads: “Going Out of Business Sale. Everything is 3⁄8 off.” What percent is 3⁄8?

   A16%B37.5%C58%D62.5%
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   Answer: D — 62.5%

6. 6. When simplifying the expression 8 − 4 + 2 × 4 + 3 − 5, which operation should be performed first?

   A7 − 5B2 × 4C8 − 4D4 + 3
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   Answer: B — 2 × 4

7. 7. Daphne wrote the fractional part of her quiz scores as: 3⁄4, 5⁄7, 11⁄9, and 9⁄5. Which list shows these values ordered from least to greatest?

   A7⁄5, 11⁄9, 9⁄5, 3⁄4B3⁄4, 5⁄7, 11⁄9, 9⁄5C5⁄7, 3⁄4, 9⁄5, 11⁄9D11⁄9, 9⁄5, 5⁄7, 3⁄4
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   Answer: B — 3⁄4, 5⁄7, 11⁄9, 9⁄5

8. 8. Which number sentence illustrates the commutative property of multiplication?

   A14 + (13 × 7) = 14 + (7 × 13)B14 × (13 + 7) = 13 × (14 + 7)C14 + (13 − 7) = 14 − (13 + 7)D14 + 13 = (14 + 7) × 13
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   Answer: A — 14 + (13 × 7) = 14 + (7 × 13)

9. 9. If the number sentence y × 1 = y is true, then y is the —

   Aadditive identityBadditive inverseCmultiplicative identityDmultiplicative inverse
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   Answer: C — multiplicative identity

10. 10. ( (10 + 30 + 5)/(2 + 7 − 2) = )

    A8B4C2D1
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    Answer: B — 4

11. 11. A business sold for 45 million dollars. What is 45 million written in scientific notation?

    A4.5 × 10⁶B45 × 10⁶C4.5 × 10⁷D45 × 10⁷
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    Answer: C — 4.5 × 10⁷

12. 12. Katie drew a floor plan of her living room made of two connected rectangles: • Rectangle 1: 16 ft by 11 ft • Rectangle 2: 14 ft by 10 ft The rectangles share a side. What is the total area of the figure?

    A42 sq ftB84 sq ftC135 sq ftD168 sq ft
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    Answer: C — 135 sq ft

13. 13. If all sides of a polygon are equal in length, the polygon is most likely a —

    AsquareBrhombusCrectangleDnonagon
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    Answer: B — rhombus

14. 14. A cylinder-shaped barrel has a diameter of 3 feet and a height of 4.5 feet. Which is closest to the volume of the barrel?

    A32 cubic feetB49 cubic feetC71 cubic feetD98 cubic feet
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    Answer: C — 71 cubic feet

15. 15. Mark correctly drew a heptagon. How many interior angles does a heptagon have?

    A5B6C7D8
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    Answer: C — 7

16. 16. A circular plate has a radius of 7 inches. Which is closest to the area of the plate?

    A39 sq inB44 sq inC154 sq inD188 sq in
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    Answer: D — 188 sq in

17. 17. Triangle FOX is similar to triangle FAN. Corresponding vertices are F ↔ F, O ↔ A, and X ↔ N. Which side of triangle FOX corresponds to side FA?

    AFOBOXCFXDFN
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    Answer: A — FO

18. 18. Which polygon is not a quadrilateral?

    AsquareBrectangleCtrapezoidDpentagon
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    Answer: D — pentagon

19. 19. On a coordinate grid, the point (−7, 10) is in which quadrant?

    AIBIICIIIDIV
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    Answer: B — II

20. 20. Carl is covering a rectangular prism-shaped box with cloth. The box measures 12 inches by 8 inches by 2 inches. What is the minimum surface area needed to cover the box?

    A96 sq inB136 sq inC192 sq inD272 sq in
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    Answer: C — 192 sq in

21. 21. Translate the figure 5 units to the left. The original location of vertex L is (−3, −2). What is the location of the image of vertex L?

    A(−8, −2)B(−2, −3)C(2, −7)D(−7, 2)
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    Answer: A — (−8, −2)

22. 22. A summer camp offers lunch choices: • Main dishes: Hamburger, Turkey sandwich, Chicken strips (3 choices) • Side dishes: Fruit, Chips, Salad (3 choices) • Drinks: Milk, Juice (2 choices) How many different lunch combinations are possible using 1 main dish, 1 side dish, and 1 drink?

    A6B9C18D27
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    Answer: C — 18

23. 23. The scores Brianna earned on four tests are 95, 90, 85, and 95. She wants the mean of all five tests to be 90. What must she score on the fifth test?

    A90B85C80D75
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    Answer: B — 85

24. 24. A standard deck of 52 cards has 4 aces. What is the probability that the first card dealt is an ace?

    A1⁄13B1⁄12C4⁄52D3⁄13
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    Answer: A — 1⁄13

25. 25. The faces of a fair cube are numbered 1 through 6. If rolled 300 times, what is the expected number of times a 5 will land face up?

    A50B100C200D250
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    Answer: A — 50

26. 26. Sports participation numbers: • Volleyball: 26 • Basketball: 68 • Soccer: 68 • Baseball: 62 What is the median number of students participating?

    A56B62C65D68
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    Answer: B — 62

27. 27. The data set shown in a box-and-whisker plot includes the values 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, and 65. Which measures can be determined from a box-and-whisker plot?

    AMean and rangeBMean and modeCMedian and modeDMedian and range
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    Answer: D — Median and range

28. 28. Lewis’ restaurant offers 4 main dishes, 7 vegetables, 1 salad, and 1 roll. Which expression shows the number of different dinner combinations?

    A4 + 7 + 1 + 1B4 − 7 − 1C4 + 7D4 × 7 × 1 × 1
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    Answer: D — 4 × 7 × 1 × 1

29. 29. The number of customers at a library by age group: • 1–10: 13 • 11–20: 21 • 21–30: 38 • 31–40: 19 • 41–50: 38 Which age group had twice as many customers as the 31–40 group?

    A1–10B11–20C21–30D41–50
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    Answer: D — 41–50

30. 30. Nicole’s tips over six days were: Monday $20, Tuesday $30, Wednesday $25, Thursday $35, Friday $40, Saturday $50. Which day’s tip is closest to the mean?

    AMondayBWednesdayCThursdayDFriday
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    Answer: A — Monday

31. 31. Lopez family ages: 55, 54, 33, 35, 12, 8. Which measure has the greatest value?

    AMeanBMedianCModeDRange
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    Answer: D — Range

32. 32. What is the common difference of the arithmetic sequence −5, −1, 3, 7, …?

    A2B4C6D8
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    Answer: B — 4

33. 33. Which of the following is not an expression?

    A5 + 4yBx − 1 = 7C4 + 1D3ab
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    Answer: B — x − 1 = 7

34. 34. What value of p makes the equation p − 4 = 8 true?

    A−12B−4C4D12
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    Answer: D — 12

35. 35. Which represents: “The product of four and a number y, decreased by seven”?

    A4y + 7B7 − 4yC4(y − 7)D4y − 7
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    Answer: D — 4y − 7

36. 36. Brittany is 4 times Caroline’s age. If Brittany is 2 years old, how old is Caroline?

    A1 yearB2 yearsC4 yearsD8 years
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    Answer: A — 1 year

37. 37. Which phrase best represents 2x − 8?

    AEight less than twice a numberBTwice a number less than eightCEight less than a number squaredDA number increased by eight
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    Answer: A — Eight less than twice a number

38. 38. Which values of a satisfy a + 8 = 4?

    A−12B−4C4D12
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    Answer: B — −4

39. 39. What is the 6th term of the geometric sequence 80, 40, 20, …?

    A5B10C2.5D1.25
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    Answer: C — 2.5

40. 40. What value of d makes d³ = −27 true?

    A−81B−9C9D81
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    Answer: B — −9

41. 41. Twice the number of students in Juan’s class divided by five is ten. Which equation represents this situation?

    A2x ÷ 5 = 10Bx ÷ 2 = 10C5x ÷ 2 = 10D2x + 5 = 10
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    Answer: A — 2x ÷ 5 = 10

42. 42. Which number is a square root of 400?

    A400B200C40D20
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    Answer: D — 20

43. 43. What is 0.000012 written in scientific notation?

    A(12 * 10^-5)B(12 * 10^-4)C(1.2 * 10^-5)D(12 * 10^5)
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    Answer: A — (12 * 10^-5)

44. 44. Which list of numbers is arranged from least to greatest?

    A0.25, 17%, 5B0.25, 5, 17%C17%, 0.25, 5D17%, 5, 0.25
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    Answer: D — 17%, 5, 0.25

45. 45. Which number is a square root of 1?

    A–1B0C1D2
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    Answer: C — 1

46. 46. Let (n) represent any number in the sequence: 2, 24, 46, 68, … Which expression can be used to determine the next number?

    A(n 12)B(12n)C(n + 22)D(n - 22)
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    Answer: C — (n + 22)

47. 47. Which number sentence is represented by a model showing three groups of five negative units combined to make a total of –15?

    A(-3 - 5 = 15)B(3 - 5 = -15)C(-3 * (-5) = 15)D(-3 * 5 = -15)
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    Answer: D — (-3 * 5 = -15)

48. 48. Clarence made a scale drawing of a classroom. The scale is 2 inches represents 9 feet. The actual length of the classroom is 36 feet. What is the length of the classroom on the drawing?

    A4 inchesB8 inchesC27 inchesD162 inches
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    Answer: B — 8 inches

49. 49. Which fraction and decimal are equivalent to (10^-3)?

    A((1)/(10)) and 0.003B((1)/(100)) and 0.003C((1)/(1000)) and 0.001D((1)/(10^3)) and 0.001
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    Answer: D — ((1)/(10^3)) and 0.001

50. 50. What is the absolute value of –8.2?

    A8.2B4.1C41D–8.2
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    Answer: A — 8.2

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.