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Math Grade 4-5 Answer Key

FL FAST 4th Grade Math Practice Test 3

Mixed practice with operations, fractions, decimals, measurement, geometry, and data

Answer Key
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FL FAST 4th Grade Math Practice Test 3

Mixed practice with operations, fractions, decimals, measurement, geometry, and data

Math - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided and write complete answers when asked to explain.
  1. 1

    What is the value of the digit 7 in the number 472,931?

    Find the place where the 7 is located.

    The value of the digit 7 is 70,000 because it is in the ten-thousands place.
  2. 2

    Compare the numbers using <, >, or =: 508,214 ___ 580,124.

    508,214 < 580,124 because 508 thousand is less than 580 thousand.
  3. 3

    Round 346,782 to the nearest ten thousand.

    Look at the digit to the right of the ten-thousands place.

    346,782 rounds to 350,000 because the thousands digit is 6, so the ten-thousands digit increases by 1.
  4. 4

    Find the sum: 48,739 + 26,584.

    The sum is 75,323.
  5. 5

    Find the difference: 93,406 - 58,279.

    Regroup carefully across place values.

    The difference is 35,127.
  6. 6

    A school ordered 247 boxes of pencils. Each box has 6 pencils. How many pencils did the school order in all?

    The school ordered 1,482 pencils because 247 × 6 = 1,482.
  7. 7

    Find the product: 34 × 28.

    Break 28 into 20 and 8.

    The product is 952 because 34 × 28 = 34 × 20 + 34 × 8 = 680 + 272 = 952.
  8. 8

    Divide: 785 ÷ 5.

    785 ÷ 5 = 157, so the quotient is 157.
  9. 9

    A garden club planted 6 rows of flowers with 18 flowers in each row. Then they planted 27 more flowers near the gate. How many flowers did they plant altogether?

    Multiply first, then add the extra flowers.

    They planted 135 flowers altogether because 6 × 18 = 108 and 108 + 27 = 135.
  10. 10

    List all the factor pairs for 36.

    The factor pairs for 36 are 1 and 36, 2 and 18, 3 and 12, 4 and 9, and 6 and 6.
  11. 11

    A pattern starts 4, 9, 14, 19, 24. What are the next three numbers in the pattern?

    Find the rule by comparing neighboring numbers.

    The next three numbers are 29, 34, and 39 because the pattern adds 5 each time.
  12. 12

    A rectangle is divided into 8 equal parts. Four parts are shaded. Write an equivalent fraction to 4/8 with a denominator of 2.

    An equivalent fraction is 1/2 because 4 out of 8 equal parts is the same amount as 1 out of 2 equal parts.
  13. 13

    Which fraction is greater: 5/6 or 3/6? Explain your answer.

    When denominators are the same, compare the numerators.

    5/6 is greater because both fractions have the same denominator, and 5 parts are more than 3 parts.
  14. 14

    Compare the fractions using <, >, or =: 2/3 ___ 2/5.

    2/3 > 2/5 because both fractions have the same numerator, and thirds are larger pieces than fifths.
  15. 15

    Find the sum: 3/8 + 2/8.

    Keep the denominator the same when adding like fractions.

    3/8 + 2/8 = 5/8 because the denominators are the same, so the numerators are added.
  16. 16

    Find the difference: 7/10 - 4/10.

    7/10 - 4/10 = 3/10 because the denominators are the same, so 7 - 4 = 3.
  17. 17

    Write 2 3/4 as an improper fraction.

    Multiply the whole number by the denominator, then add the numerator.

    2 3/4 = 11/4 because 2 wholes equal 8/4, and 8/4 + 3/4 = 11/4.
  18. 18

    Maya ran 3/4 mile on Monday and 2/4 mile on Tuesday. How many miles did she run in all?

    Maya ran 5/4 miles in all, which is equal to 1 1/4 miles.
  19. 19

    Write the fraction 37/100 as a decimal.

    The denominator 100 means hundredths.

    37/100 is written as 0.37 because 37 hundredths is 0.37.
  20. 20

    Compare the decimals using <, >, or =: 0.6 ___ 0.60.

    0.6 = 0.60 because both decimals represent six tenths.
  21. 21

    Write 0.4 as a fraction with a denominator of 10.

    Read 0.4 as four tenths.

    0.4 is equal to 4/10 because it means four tenths.
  22. 22

    A rectangular playground is 35 meters long and 18 meters wide. What is the perimeter?

    The perimeter is 106 meters because 35 + 18 + 35 + 18 = 106.
  23. 23

    A rectangular rug is 9 feet long and 6 feet wide. What is its area?

    Area of a rectangle equals length times width.

    The area is 54 square feet because 9 × 6 = 54.
  24. 24

    A rectangle has a perimeter of 40 inches. Its length is 12 inches. What is its width?

    The width is 8 inches because 12 + 12 = 24, and 40 - 24 = 16. The two widths share 16 inches, so each width is 8 inches.
  25. 25

    An angle measures 90 degrees. What type of angle is it?

    A right angle makes a square corner.

    The angle is a right angle because it measures exactly 90 degrees.
  26. 26

    An angle measures 125 degrees. Is it acute, right, or obtuse?

    The angle is obtuse because it measures more than 90 degrees and less than 180 degrees.
  27. 27

    A shape has exactly one line of symmetry. Which could it be: a square, an isosceles triangle, or a parallelogram with no equal sides?

    Think about a shape that can fold into two matching halves in only one way.

    An isosceles triangle could have exactly one line of symmetry.
  28. 28

    A triangle has side lengths of 5 cm, 5 cm, and 8 cm. What type of triangle is it based on its side lengths?

    The triangle is isosceles because it has exactly two sides with the same length.
  29. 29

    The line plot shows the lengths of ribbons in inches: 6, 6, 7, 8, 8, 8, 9. Which ribbon length occurs most often?

    Count how many times each length appears.

    The length 8 inches occurs most often because it appears 3 times.
  30. 30

    A bar graph shows that 12 students chose soccer, 9 chose basketball, 6 chose tennis, and 3 chose swimming as their favorite sport. How many more students chose soccer than swimming?

    Nine more students chose soccer than swimming because 12 - 3 = 9.
  31. 31

    A movie starts at 2:35 p.m. and ends at 4:10 p.m. How long is the movie?

    Count from 2:35 to 3:35, then from 3:35 to 4:10.

    The movie is 1 hour 35 minutes long.
  32. 32

    Jalen buys a notebook for $2.75 and a pencil case for $4.60. How much does he spend in all?

    Jalen spends $7.35 in all because $2.75 + $4.60 = $7.35.
  33. 33

    How many inches are in 7 feet?

    Multiply the number of feet by 12.

    There are 84 inches in 7 feet because 1 foot equals 12 inches and 7 × 12 = 84.
  34. 34

    How many cups are in 5 pints?

    There are 10 cups in 5 pints because 1 pint equals 2 cups and 5 × 2 = 10.
  35. 35

    On a grid map, the library is at (2, 4). The park is 3 units to the right of the library on the same horizontal line. What ordered pair shows the park's location?

    Moving right changes the x-coordinate.

    The park is at (5, 4) because moving 3 units right increases the first number from 2 to 5, and the second number stays 4.
  36. 36

    There are 8 red marbles in a bag. There are 4 times as many blue marbles as red marbles. How many blue marbles are there?

    There are 32 blue marbles because 8 × 4 = 32.
  37. 37

    Solve for the unknown number: 9 × n = 72.

    Think about the multiplication fact that equals 72.

    The unknown number is 8 because 9 × 8 = 72.
  38. 38

    Evaluate the expression: 6 + 4 × 7.

    The value is 34 because multiplication is done first, so 4 × 7 = 28, and 6 + 28 = 34.
  39. 39

    Estimate the product of 398 × 6 by rounding 398 to the nearest hundred.

    Round before multiplying.

    An estimate is 2,400 because 398 rounds to 400, and 400 × 6 = 2,400.
  40. 40

    A class collected 156 cans in Week 1, 209 cans in Week 2, and 184 cans in Week 3. Their goal is 600 cans. How many more cans do they need to reach their goal?

    They need 51 more cans because 156 + 209 + 184 = 549, and 600 - 549 = 51.
LivePhysics™.com Math - Grade 4-5 - Answer Key