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Math Grade 4-5 Answer Key

FL FAST 4th Grade Math Practice Test 1

Practice with grade 4 operations, fractions, measurement, data, and geometry

Answer Key
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FL FAST 4th Grade Math Practice Test 1

Practice with grade 4 operations, fractions, measurement, data, and geometry

Math - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided. Check that your answer makes sense.
  1. 1

    What is the value of the digit 7 in the number 47,832?

    Find the place where the 7 is located.

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

    Which number is greater: 508,419 or 580,149? Explain how you know.

    580,149 is greater because it has an 8 in the ten-thousands place, while 508,419 has a 0 in the ten-thousands place.
  3. 3

    Round 36,748 to the nearest thousand.

    Look at the hundreds digit to decide whether to round the thousands digit up or keep it the same.

    36,748 rounded to the nearest thousand is 37,000 because the hundreds digit is 7, so the thousands digit rounds up.
  4. 4

    Find the sum: 28,467 + 13,895.

    The sum is 42,362.
  5. 5

    Find the difference: 70,000 - 28,456.

    Regroup carefully across the zeros.

    The difference is 41,544.
  6. 6

    A school ordered 236 boxes of pencils. Each box has 8 pencils. How many pencils did the school order in all?

    The school ordered 1,888 pencils in all because 236 times 8 equals 1,888.
  7. 7

    Find the product: 47 x 23.

    Break 23 into 20 and 3.

    The product is 1,081 because 47 times 20 is 940 and 47 times 3 is 141, and 940 plus 141 equals 1,081.
  8. 8

    Find the quotient and remainder: 659 ÷ 6.

    659 divided by 6 is 109 remainder 5 because 6 times 109 equals 654 and 659 minus 654 equals 5.
  9. 9

    A library has 9 shelves. Each shelf holds 48 books. The librarian adds 37 more books to a display table. How many books are there in all?

    First find the number of books on the shelves, then add the display books.

    There are 469 books in all because 9 times 48 equals 432, and 432 plus 37 equals 469.
  10. 10

    List all the factors of 24.

    The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24 because each of these numbers divides 24 evenly.
  11. 11

    What number makes the equation true? 7 x n = 56

    Think about the multiplication fact that has 7 and 56.

    The number is 8 because 7 times 8 equals 56.
  12. 12

    A rectangle is divided into 8 equal parts. Three parts are shaded. What fraction of the rectangle is shaded?

    The shaded fraction is 3/8 because 3 of the 8 equal parts are shaded.
  13. 13

    Which fraction is greater: 5/6 or 3/6? Explain how you know.

    When denominators are the same, compare the numerators.

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

    Find the sum: 2/9 + 5/9.

    The sum is 7/9 because the denominators are the same, so the numerators 2 and 5 are added.
  15. 15

    Find the difference: 7/10 - 3/10.

    Subtract the numerators and keep the denominator the same.

    The difference is 4/10, which is equal to 2/5.
  16. 16

    Write 9/4 as a mixed number.

    9/4 is equal to 2 1/4 because 4 goes into 9 two times with 1 fourth left over.
  17. 17

    Decompose 6/8 as a sum of fractions with the same denominator in two different ways.

    Use fractions with eighths as the denominator.

    One way is 6/8 = 3/8 + 3/8. Another way is 6/8 = 1/8 + 5/8.
  18. 18

    A recipe uses 3/4 cup of oats for one batch. How many cups of oats are needed for 4 batches?

    Four batches need 3 cups of oats because 4 times 3/4 equals 12/4, and 12/4 equals 3.
  19. 19

    Write 0.6 as a fraction with a denominator of 10.

    Read 0.6 as six tenths.

    0.6 is equal to 6/10 because the digit 6 is in the tenths place.
  20. 20

    Which decimal is greater: 0.45 or 0.5? Explain how you know.

    0.5 is greater because 0.5 is equal to 0.50, and 50 hundredths is greater than 45 hundredths.
  21. 21

    A ribbon is 5 feet long. How many inches long is the ribbon?

    Multiply the number of feet by 12.

    The ribbon is 60 inches long because 1 foot equals 12 inches and 5 times 12 equals 60.
  22. 22

    A bag of apples weighs 3 pounds. How many ounces does the bag weigh?

    The bag weighs 48 ounces because 1 pound equals 16 ounces and 3 times 16 equals 48.
  23. 23

    Maya started reading at 3:25 p.m. and stopped at 4:10 p.m. How long did Maya read?

    Count to the next hour first, then add the remaining minutes.

    Maya read for 45 minutes because 3:25 to 4:00 is 35 minutes and 4:00 to 4:10 is 10 more minutes.
  24. 24

    The line plot shows the lengths of five pencils: 4 1/2 inches, 5 inches, 5 inches, 5 1/2 inches, and 6 inches. What is the total length of all five pencils?

    The total length is 26 inches because 4 1/2 + 5 + 5 + 5 1/2 + 6 equals 26.
  25. 25

    A rectangle has a length of 12 meters and a width of 7 meters. What is its perimeter?

    Perimeter is the distance around the outside of a shape.

    The perimeter is 38 meters because 12 + 7 + 12 + 7 equals 38.
  26. 26

    A garden is shaped like a rectangle with a length of 15 feet and a width of 9 feet. What is the area of the garden?

    The area is 135 square feet because 15 times 9 equals 135.
  27. 27

    A rectangle has a perimeter of 30 inches. One side is 9 inches long. What is the length of the other side?

    Opposite sides of a rectangle are equal.

    The other side is 6 inches long because 9 + 9 = 18, and 30 - 18 = 12, so the two remaining equal sides are 6 inches each.
  28. 28

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

    The angle is a right angle because a right angle measures exactly 90 degrees.
  29. 29

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

    Acute angles are less than 90 degrees, and obtuse angles are greater than 90 degrees.

    The angle is obtuse because it is greater than 90 degrees and less than 180 degrees.
  30. 30

    In the diagram, line AB and line CD never meet and stay the same distance apart. What word describes these lines?

    The lines are parallel because they never intersect and stay the same distance apart.
  31. 31

    A shape has 4 sides. It has exactly one pair of parallel sides. What is the best name for the shape?

    Think about the properties of quadrilaterals.

    The best name for the shape is a trapezoid because a trapezoid has exactly one pair of parallel sides.
  32. 32

    A figure can be folded along a vertical line so that both halves match exactly. What does the figure have?

    The figure has a vertical line of symmetry because the two halves match exactly when folded on that line.
  33. 33

    The table shows that 1 notebook costs $3, 2 notebooks cost $6, and 3 notebooks cost $9. How much do 7 notebooks cost?

    Find the rule in the table.

    Seven notebooks cost $21 because each notebook costs $3 and 7 times 3 equals 21.
  34. 34

    Lena buys a book for $8.75 and a bookmark for $1.25. She pays with a $20 bill. How much change should she receive?

    Lena should receive $10.00 in change because $8.75 + $1.25 = $10.00, and $20.00 - $10.00 = $10.00.
  35. 35

    Which expression has the same value as 6 x 14? A. 6 x 10 + 6 x 4, B. 6 x 10 + 4, C. 6 + 10 x 4, D. 14 + 6

    Use the distributive property to break 14 into 10 and 4.

    Expression A has the same value because 6 x 14 can be broken apart as 6 x 10 plus 6 x 4.
  36. 36

    Is 29 prime or composite? Explain your answer.

    29 is prime because its only factors are 1 and 29.
  37. 37

    A whale is 32 feet long. A dolphin is 8 feet long. The whale is how many times as long as the dolphin?

    Use division to compare the two lengths.

    The whale is 4 times as long as the dolphin because 32 divided by 8 equals 4.
  38. 38

    Evaluate the expression: (18 + 6) ÷ 4.

    The value of the expression is 6 because 18 + 6 equals 24, and 24 divided by 4 equals 6.
  39. 39

    A teacher has 74 markers. She wants to put 8 markers in each cup. How many full cups can she make, and how many markers will be left over?

    The remainder is the number of markers left after making full groups of 8.

    She can make 9 full cups with 2 markers left over because 8 times 9 equals 72, and 74 - 72 equals 2.
  40. 40

    A field trip has 128 students and 16 adults. Each bus holds 48 people. How many buses are needed for everyone?

    Three buses are needed because 128 + 16 = 144 people, and 144 divided by 48 equals 3.
LivePhysics™.com Math - Grade 4-5 - Answer Key