A free 40-problem 5th grade summer math review PDF with fraction and decimal operations, coordinate-plane models, volume, geometry, measurement, multi-step problems, and a complete answer key.
The move into middle school is easier when fraction and decimal operations are secure. This substantial 40-problem review also checks whether students can interpret expressions, use coordinates, convert measurements, and connect area and volume formulas to visual models rather than relying on memorized steps alone.
Let the student use scratch paper but not a calculator on the first attempt. Accuracy matters, but a clearly labeled strategy is equally useful for spotting where support is needed.
Every question below appears in the printable packet. Students should show their work and simplify answers unless directed otherwise.
Compute efficiently and apply the order of operations.
Use place value to compare and compute with decimals.
Add, subtract, multiply, and divide fractions in context.
Analyze numerical rules and distances in the first quadrant.
Use visual models to reason about area, volume, and figure attributes.
Interpret data and convert customary measurements.
Choose operations and explain multi-step reasoning.
Open-ended explanations may use different wording while showing the same reasoning.
1. 112,008
2. 261
3. 24
4. 7n - 12
5. 20
6. 10,584
7. 25.375
8. 32.362
9. 1.62
10. 10.8
11. <
12. 18.50
13. 1 7/12
14. 1 17/24
15. 1/6
16. 6
17. 5/8 and 0.625
18. 3
19. <
20. 6 units
21. 4 units
22. 17
23. 17, 21
24. (7, 7)
25. 120 cubic cm
26. 3 inches
27. 42 square cm
28. 7 feet; perimeter 38 feet
29. Isosceles
30. A trapezoid; 1 pair
31. 120 cubic inches
32. 2
33. 16
34. 42 inches
35. 2,750 milliliters
36. 0.6, 0.62, 5/8
37. 2.5 feet
38. 6 1/12 miles
39. 60 gallons
40. $20.65