Free printable summer review

4th Grade Summer Math Review

A printable 4th grade summer math review with 40 mixed problems, visual fraction and geometry practice, and a complete answer key for students entering 5th grade.

40 problems7 skill areasAbout 80 minutesAnswer key included
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What this review measures

Fourth-grade mathematics expands whole-number fluency and treats fractions as numbers that can be compared, combined, and connected to decimals. These mixed problems emphasize flexible reasoning students will need when fifth grade introduces more fraction operations and decimal computation.

For parents and educators

Ask the student to circle uncertain items and finish the packet without help first. Review the circled items together, then have the student correct errors in a different color.

Preview the complete review

Every question below appears in the printable packet. Students should show their work and simplify answers unless directed otherwise.

Whole-number operations

Use standard algorithms and estimation with larger numbers.

  1. 1Find 38,476 + 7,958.
  2. 2Find 60,000 - 27,684.
  3. 3Find 326 x 7.
  4. 4Find 1,872 / 6.
  5. 5Estimate 8,921 x 6 by rounding 8,921 to the nearest thousand.
  6. 6Find 4,536 / 9.

Factors and multiples

Recognize number structure and multiplicative patterns.

  1. 7List all factor pairs of 36.
  2. 8Is 51 prime or composite? Explain.
  3. 9Write the first three common multiples of 4 and 6.
  4. 10List every multiple of 8 that is greater than 0 and less than 50.
  5. 11What is the greatest common factor of 18 and 24?

Fractions and decimals

Compare fractions, build equivalents, and connect tenths and hundredths to decimals.

  1. 12Find 3/8 + 2/8.
  2. 13Find 7/10 - 3/10.
  3. 14Use <, >, or =: 5/6 ___ 7/9.
  4. 15Write 43/100 as a decimal.
  5. 16Write the shaded part as both a fraction and a decimal.
  6. 17Find the missing numerator: 3/4 = ___/20.
  7. 18Find 2 3/8 + 1 4/8. Write the answer as a mixed number.

Place value and rounding

Interpret each digit through the millions and round strategically.

  1. 19What is the value of the 7 in 3,742,091?
  2. 20Write 905,040 in words.
  3. 21Round 286,449 to the nearest ten thousand.
  4. 22Use <, >, or =: 2,070,900 ___ 2,069,999.
  5. 23Write 4,000,000 + 60,000 + 800 + 9 in standard form.

Measurement and geometry

Convert units and reason about angles, area, and perimeter.

  1. 24Convert 3 yards to feet.
  2. 25Classify the angle as acute, right, or obtuse.128 degrees
  3. 26The rectangle has area 48 square centimeters. Find the missing side length.? cm6 cmArea = 48 sq cm
  4. 27A square has perimeter 36 inches. Find its side length.Perimeter = 36 in.
  5. 28Name the quadrilateral. How many pairs of parallel sides does it have?
  6. 29Name the quadrilateral. Which sides are congruent?
  7. 30Classify the angle as acute, right, or obtuse.42 degrees
  8. 31How many lines of symmetry does the figure have?

Patterns and word problems

Translate multi-step situations into organized calculations.

  1. 32A theater has 24 rows with 18 seats in each row. If 37 seats are empty, how many people are seated?
  2. 33A school buys 8 boxes of 125 pencils and shares them equally among 20 classrooms. How many pencils per room?
  3. 34A recipe uses 3/4 cup of oats for one batch. How much is needed for 3 batches?
  4. 35The rule is multiply by 3, then subtract 1. Find the outputs for inputs 2, 5, and 10.
  5. 36A field trip has 168 students. Each bus holds 42 students. How many buses are needed?
  6. 37A store sells 138 notebooks Monday and 247 Tuesday. On Wednesday it sells 96 fewer than Tuesday. How many notebooks are sold in all?

Challenge

Defend a comparison and use constraints.

  1. 38Without calculating exact products, decide which is greater: 49 x 21 or 50 x 20. Explain.
  2. 39Place parentheses to make 8 + 4 x 3 equal 36.
  3. 40What is the smallest whole number greater than 50 that is a multiple of both 6 and 8? Explain.
View the complete answer key

Open-ended explanations may use different wording while showing the same reasoning.

Whole-number operations

1. 46,434

2. 32,316

3. 2,282

4. 312

5. 54,000

6. 504

Factors and multiples

7. 1 and 36; 2 and 18; 3 and 12; 4 and 9; 6 and 6

8. Composite; 3 x 17 = 51

9. 12, 24, 36

10. 8, 16, 24, 32, 40, 48

11. 6

Fractions and decimals

12. 5/8

13. 4/10, or 2/5

14. >

15. 0.43

16. 6/10 and 0.6

17. 15

18. 3 7/8

Place value and rounding

19. 700,000

20. Nine hundred five thousand forty

21. 290,000

22. >

23. 4,060,809

Measurement and geometry

24. 9 feet

25. Obtuse

26. 8 cm

27. 9 inches

28. A trapezoid; 1 pair

29. A rhombus; all 4 sides are congruent

30. Acute

31. 4

Patterns and word problems

32. 395 people

33. 50 pencils

34. 2 1/4 cups

35. 5, 14, 29

36. 4 buses

37. 536 notebooks

Challenge

38. 49 x 21 is greater; it is 1,029 versus 1,000

39. (8 + 4) x 3 = 36

40. 72

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