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Math Grade 4-5 Answer Key

Math: FL FAST 5th Grade Math Practice Test 2

Mixed 5th grade math review for Florida FAST practice

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Math: FL FAST 5th Grade Math Practice Test 2

Mixed 5th grade math review for Florida FAST practice

Math - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided. Choose the best answer or write a complete response.
  1. 1

    A school collected 3,486 cans in January and 4,725 cans in February. How many cans did the school collect in all?

    The school collected 8,211 cans in all because 3,486 + 4,725 = 8,211.
  2. 2

    Find the difference: 9,004 - 3,768.

    Regroup across the zeros carefully.

    The difference is 5,236 because 9,004 - 3,768 = 5,236.
  3. 3

    A store has 28 boxes of pencils. Each box has 36 pencils. How many pencils are there in all?

    There are 1,008 pencils in all because 28 × 36 = 1,008.
  4. 4

    A farmer packs 1,248 oranges equally into 24 crates. How many oranges are in each crate?

    Think of 24 × 50 first, then find what is left.

    There are 52 oranges in each crate because 1,248 ÷ 24 = 52.
  5. 5

    Evaluate the expression: 6 + 4 × 7 - 8.

    Multiply before adding or subtracting.

    The value is 26 because 4 × 7 = 28, then 6 + 28 - 8 = 26.
  6. 6

    Evaluate the expression: (18 + 12) ÷ 5 × 3.

    The value is 18 because 18 + 12 = 30, 30 ÷ 5 = 6, and 6 × 3 = 18.
  7. 7

    Write 7 × 7 × 7 × 7 using an exponent.

    The exponent tells how many times the base is used as a factor.

    The expression is 7^4 because 7 is used as a factor 4 times.
  8. 8

    Which expression has a value of 45? A. 5 × (6 + 3), B. 5 × 6 + 3, C. 5 + 6 × 3, D. (5 + 6) × 3

    Expression A has a value of 45 because 5 × (6 + 3) = 5 × 9 = 45.
  9. 9

    Round 48.736 to the nearest tenth.

    Look at the digit to the right of the tenths place.

    48.736 rounded to the nearest tenth is 48.7 because the hundredths digit is 3, so the tenths digit stays the same.
  10. 10

    Compare the decimals using <, >, or =: 5.08 ___ 5.8.

    The correct comparison is 5.08 < 5.8 because 5.08 is less than 5.80.
  11. 11

    Add: 12.45 + 3.708.

    Line up the decimal points before adding.

    The sum is 16.158 because 12.450 + 3.708 = 16.158.
  12. 12

    Subtract: 20 - 6.375.

    The difference is 13.625 because 20.000 - 6.375 = 13.625.
  13. 13

    Multiply: 4.6 × 3.2.

    Multiply as whole numbers first, then place the decimal.

    The product is 14.72 because 46 × 32 = 1,472 and there are two decimal places in the factors.
  14. 14

    Divide: 8.4 ÷ 0.7.

    The quotient is 12 because 0.7 × 12 = 8.4.
  15. 15

    A ribbon is 5.25 meters long. Mia cuts off 1.8 meters. How much ribbon is left?

    Write 1.8 as 1.80 to line up the decimal places.

    There are 3.45 meters of ribbon left because 5.25 - 1.80 = 3.45.
  16. 16

    A bag of apples weighs 2.75 pounds. What is the total weight of 6 identical bags?

    The total weight is 16.5 pounds because 2.75 × 6 = 16.5.
  17. 17

    Which fraction is equivalent to 3/4? A. 6/12, B. 9/12, C. 12/20, D. 15/24

    Equivalent fractions have the same value.

    The equivalent fraction is 9/12 because multiplying the numerator and denominator of 3/4 by 3 gives 9/12.
  18. 18

    Compare the fractions using <, >, or =: 5/6 ___ 7/9.

    The correct comparison is 5/6 > 7/9 because 5/6 = 15/18 and 7/9 = 14/18.
  19. 19

    Add: 2/5 + 1/10.

    Use 10 as a common denominator.

    The sum is 1/2 because 2/5 = 4/10 and 4/10 + 1/10 = 5/10, which equals 1/2.
  20. 20

    Subtract: 7/8 - 1/4.

    The difference is 5/8 because 1/4 = 2/8 and 7/8 - 2/8 = 5/8.
  21. 21

    A recipe uses 3/4 cup of milk. Liam makes half of the recipe. How much milk does he use?

    Half of a fraction can be found by multiplying by 1/2.

    Liam uses 3/8 cup of milk because 1/2 × 3/4 = 3/8.
  22. 22

    Multiply: 2/3 × 9.

    The product is 6 because 2/3 of 9 equals 6.
  23. 23

    Divide: 5 ÷ 1/4.

    Think about how many quarter pieces fit into 5 whole objects.

    The quotient is 20 because there are twenty one-fourths in 5 wholes.
  24. 24

    Jada walked 1 2/3 miles on Monday and 2 1/6 miles on Tuesday. How far did she walk in all?

    Jada walked 3 5/6 miles in all because 1 2/3 + 2 1/6 = 1 4/6 + 2 1/6 = 3 5/6.
  25. 25

    A tank holds 12 gallons of water. It is 3/4 full. How many gallons of water are in the tank?

    Find 12 ÷ 4 first, then multiply by 3.

    There are 9 gallons of water in the tank because 3/4 of 12 is 9.
  26. 26

    A rectangular prism has a length of 8 inches, a width of 3 inches, and a height of 5 inches. What is its volume?

    The volume is 120 cubic inches because 8 × 3 × 5 = 120.
  27. 27

    A box is built from unit cubes. It is 4 cubes long, 4 cubes wide, and 6 cubes tall. How many unit cubes are in the box?

    Volume can be found by multiplying length, width, and height.

    There are 96 unit cubes in the box because 4 × 4 × 6 = 96.
  28. 28

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

    The height is 3 centimeters because 10 × 5 × 3 = 150.
  29. 29

    What is the area of a rectangle that is 9 centimeters long and 7 centimeters wide?

    Area of a rectangle is length times width.

    The area is 63 square centimeters because 9 × 7 = 63.
  30. 30

    What is the perimeter of a square with side lengths of 11 feet?

    The perimeter is 44 feet because 11 + 11 + 11 + 11 = 44.
  31. 31

    A triangle has angles measuring 35 degrees and 65 degrees. What is the measure of the third angle?

    The sum of the angle measures in any triangle is 180 degrees.

    The third angle measures 80 degrees because the angles in a triangle add to 180 degrees, and 180 - 35 - 65 = 80.
  32. 32

    Which quadrilateral always has 4 equal sides and 4 right angles? A. trapezoid, B. rhombus, C. square, D. parallelogram

    The correct answer is C, square, because a square always has 4 equal sides and 4 right angles.
  33. 33

    On a coordinate plane, point A is at (2, 5). Point B is 4 units to the right of point A. What are the coordinates of point B?

    Moving right changes the x-coordinate, not the y-coordinate.

    Point B is at (6, 5) because moving 4 units right increases the x-coordinate from 2 to 6.
  34. 34

    On a coordinate plane, point C is at (7, 3). Point D is 5 units above point C. What are the coordinates of point D?

    Point D is at (7, 8) because moving 5 units up increases the y-coordinate from 3 to 8.
  35. 35

    A pattern starts with 4 and follows the rule multiply by 3. What are the next three numbers after 4?

    Use the rule on the newest number each time.

    The next three numbers are 12, 36, and 108 because each number is multiplied by 3.
  36. 36

    The table shows a rule. Input: 2, 4, 6, 8. Output: 7, 13, 19, 25. Which rule matches the table?

    The rule is multiply the input by 3 and add 1 because 2 × 3 + 1 = 7 and the same rule works for the other inputs.
  37. 37

    A line plot shows these lengths in inches: 1/2, 1/2, 3/4, 1, 1, 1. What is the total length of all the objects?

    Add the whole numbers and fractions separately.

    The total length is 4 3/4 inches because 1/2 + 1/2 + 3/4 + 1 + 1 + 1 = 4 3/4.
  38. 38

    The numbers of books read by five students are 6, 8, 10, 10, and 16. What is the mean number of books read?

    The mean is 10 books because 6 + 8 + 10 + 10 + 16 = 50, and 50 ÷ 5 = 10.
  39. 39

    A bar graph shows that Class A collected 45 bottles, Class B collected 60 bottles, and Class C collected 35 bottles. How many more bottles did Class B collect than Class C?

    Compare the two bar heights by subtracting.

    Class B collected 25 more bottles than Class C because 60 - 35 = 25.
  40. 40

    A movie starts at 2:35 p.m. and lasts 1 hour 45 minutes. What time does the movie end?

    The movie ends at 4:20 p.m. because 2:35 p.m. plus 1 hour is 3:35 p.m., and 45 more minutes is 4:20 p.m.
  41. 41

    A runner completes 2.4 miles each day for 5 days. How many miles does the runner complete in all?

    Multiply the daily distance by the number of days.

    The runner completes 12 miles in all because 2.4 × 5 = 12.
LivePhysics™.com Math - Grade 4-5 - Answer Key