5th Grade Mixed Math Practice Worksheet - Comprehensive Math Exercises

Instructions

Solve the following math problems. Show your work where necessary. Simplify all fractions to their lowest terms.

Part 1: Decimal Operations

1. 48.7 + 9.34 = ?
2. 72.5 - 18.29 = ?
3. 6.4 × 3.8 = ?
4. 39.06 ÷ 3 = ?

Part 2: Fraction Operations

Write your answers as a simplified fraction or mixed number.

5. ¹⁄₃ + ²⁄₅ = ?
6. ⁵⁄₆ - ¹⁄₄ = ?
7. ³⁄₈ × ²⁄₅ = ?
8. 4 × ⁵⁄₇ = ?

Part 3: Order of Operations

Use the order of operations (PEMDAS/BODMAS) to find the value of each expression.

9. (15 - 5) × 8 ÷ 4 = ?
10. 40 + (24 ÷ (3 + 1)) = ?

Part 4: Volume

11. A rectangular prism has a length of 12 inches, a width of 4 inches, and a height of 5 inches. What is its volume? Remember, Volume = length × width × height.

Part 5: Word Problems

12. Leo is saving for a new bike that costs $250. He saved $75 from his birthday and earns $12.50 each week for doing chores. How many weeks will it take him to save enough money for the bike?
13. A baker has 5 cups of flour. A recipe for one loaf of bread requires ³⁄₄ cup of flour. How many full loaves of bread can the baker make? How much flour will be left over?

Answer Key

1. 58.04
2. 54.21
3. 24.32
4. 13.02
5. ¹¹⁄₁₅   (⁵⁄₁₅ + ⁶⁄₁₅)
6. ⁷⁄₁₂   (¹⁰⁄₁₂ - ³⁄₁₂)
7. ³⁄₂₀   (⁶⁄₄₀ simplified)
8. ²⁰⁄₇ or 2 ⁶⁄₇
9. 20   (10 × 8 ÷ 4 = 80 ÷ 4 = 20)
10. 46   (40 + (24 ÷ 4) = 40 + 6 = 46)
11. 240 cubic inches (12 × 4 × 5)
12. 14 weeks ($250 - $75 = $175 needed. $175 ÷ $12.50 = 14)
13. 6 full loaves with ¹⁄₂ cup of flour left over. (5 ÷ ³⁄₄ = ⁵⁄₁ × ⁴⁄₃ = ²⁰⁄₃ = 6 ²⁄₃ loaves. This means 6 full loaves can be made. 6 × ³⁄₄ = ¹⁸⁄₄ = 4 ¹⁄₂ cups used. 5 - 4 ¹⁄₂ = ¹⁄₂ cup left.)