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Math Grade 4-5

Math: FL FAST 5th Grade Math Practice Test 1

Practice for key 5th grade math skills

View Answer Key

Practice 5th grade math skills including operations, fractions, decimals, volume, measurement, patterns, and coordinate grids.

Read each problem carefully. Show your work in the space provided.

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Score: / 40

Practice for key 5th grade math skills

Math - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided.
  1. 1

    In the number 3.472, what is the value of the digit 7?

  2. 2

    Compare the decimals using >, <, or =: 5.608 ___ 5.68.

  3. 3

    Find the product: 246 x 37.

  4. 4

    Find the quotient: 3,456 ÷ 12.

  5. 5
    Two fraction bars showing two thirds and one fourth shaded.

    Add the fractions: 2/3 + 1/4.

  6. 6

    Subtract: 5 1/6 - 2 3/4.

  7. 7
    Two measuring cups each filled about three quarters with sugar.

    A recipe uses 3/4 cup of sugar. Mia wants to make 2 batches. How many cups of sugar does she need?

  8. 8
    Half of a brownie pan divided equally into three pieces.

    Three friends share 1/2 of a pan of brownies equally. What fraction of the whole pan does each friend get?

  9. 9

    A ribbon is 4.75 meters long. Another ribbon is 2.6 meters long. What is the total length of the two ribbons?

  10. 10

    Find the product: 4.6 x 2.3.

  11. 11

    Find the quotient: 7.2 ÷ 0.6.

  12. 12

    Evaluate the expression: 18 + 6 x (9 - 4).

  13. 13

    Write an expression for this situation: Add 8 to the product of 5 and a number n.

  14. 14
    A rectangular prism shown with unit cube grid lines.

    A rectangular prism has a length of 8 inches, a width of 5 inches, and a height of 4 inches. What is its volume?

  15. 15
    A composite solid made from two joined rectangular prisms.

    A composite solid is made from two rectangular prisms. Prism A is 6 cm by 4 cm by 3 cm. Prism B is 2 cm by 4 cm by 5 cm. What is the total volume?

  16. 16
    A dot plot with three, two, and four dots above three positions.

    A line plot shows plant growth in inches. There are three Xs at 1/4 inch, two Xs at 1/2 inch, and four Xs at 3/4 inch. What is the total growth represented by all the Xs?

  17. 17
    A coordinate grid with one point to the right and above the origin.

    On a coordinate grid, point A is 4 units to the right of the origin and 7 units up. What is the ordered pair for point A?

  18. 18
    Two vertically aligned points on a coordinate grid connected by a line segment.

    Point B is at (2, 3), and point C is at (2, 8). What is the distance between the points?

  19. 19

    Convert 4 yards 2 feet to feet.

  20. 20

    Convert 3 pounds 5 ounces to ounces.

  21. 21

    A pattern follows the rule y = 4x + 1. What is the value of y when x = 8?

  22. 22

    Sequence A starts at 2 and adds 3 each time: 2, 5, 8, 11, 14. Sequence B starts at 5 and adds 2 each time: 5, 7, 9, 11, 13. What is the first number that appears in both sequences?

  23. 23
    A rhombus with four equal slanted sides and no right angles.

    A quadrilateral has 4 equal sides and no right angles. What is the best name for this shape?

  24. 24
    An isosceles triangle with two equal sides.

    A triangle has side lengths of 5 cm, 5 cm, and 8 cm. Classify the triangle by its side lengths.

  25. 25

    Find the product: 0.047 x 1,000.

  26. 26

    Round 28.746 to the nearest tenth.

  27. 27

    Find all the factor pairs for 24.

  28. 28

    A school has 5 boxes of markers. Each box has 18 markers. The markers are shared equally among 9 classrooms. How many markers does each classroom get?

  29. 29
    Two fraction bars comparing five eighths and two thirds.

    Which fraction is greater, 5/8 or 2/3? Explain your answer.

  30. 30
    A rectangular garden with shaded area and outlined perimeter.

    A rectangular garden is 12 feet long and 7 feet wide. What are the area and perimeter of the garden?

  31. 31
    A rectangular prism with its height edge highlighted.

    A rectangular prism has a volume of 150 cubic centimeters. Its length is 10 cm and its width is 5 cm. What is its height?

  32. 32

    A store has 6 packs of pencils with 24 pencils in each pack. The pencils are divided equally among 8 students. How many pencils does each student receive?

  33. 33

    Find the value of 15.2 - 7.85 + 3.6.

  34. 34
    A long ribbon divided into equal small pieces.

    Four yards of ribbon are cut into pieces that are each 1/3 yard long. How many pieces can be cut?

  35. 35
    Large jugs, medium cartons, and small cups representing liquid capacity units.

    Convert 2 gallons 3 quarts to cups.

  36. 36

    Write 6.305 in expanded form.

  37. 37

    A table has the ordered pairs (1, 5), (2, 6), (3, 7), and (4, 8). If the pattern continues, what ordered pair has x = 6?

  38. 38

    Evaluate the expression 3n + 5 when n = 7.

  39. 39

    There are 157 students going on a field trip. Each bus can hold 24 students. What is the fewest number of buses needed?

  40. 40

    A fundraiser sold 48 student tickets and 32 adult tickets. Student tickets cost $5 each, and adult tickets cost $8 each. How much money was collected in all?

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