Mental Division Strategies
Name: ___________________________
Date: ___________________________
Part A: Halving Strategy
Divide by halving repeatedly (useful for dividing by 2, 4, 8, 16, etc.)
1. 96 ÷ 4 =
___________
2. 144 ÷ 8 =
___________
3. 320 ÷ 16 =
___________
4. 240 ÷ 4 =
___________
Part B: Partitioning Strategy
Break the dividend into parts that are easier to divide
5. 156 ÷ 6 = (120 ÷ 6) + (36 ÷ 6) = _______ + _______ = _______
6. 135 ÷ 5 = (100 ÷ 5) + (35 ÷ 5) = _______ + _______ = _______
7. 252 ÷ 7 = (210 ÷ 7) + (42 ÷ 7) = _______ + _______ = _______
8. 168 ÷ 8 = (160 ÷ 8) + (8 ÷ 8) = _______ + _______ = _______
Part C: Using Inverse Operations
Think: "What do I multiply by to get this number?"
9. 72 ÷ 9 =
___________
(9 × ___ = 72)
10. 132 ÷ 11 =
___________
(11 × ___ = 132)
11. 84 ÷ 12 =
___________
(12 × ___ = 84)
12. 195 ÷ 15 =
___________
(15 × ___ = 195)
Part D: Choose Your Strategy
Use any mental strategy to solve these problems. Show your thinking.
13. 216 ÷ 9 = ___________
Strategy used: _________________________________
14. 384 ÷ 8 = ___________
Strategy used: _________________________________
15. 285 ÷ 5 = ___________
Strategy used: _________________________________
16. 336 ÷ 12 = ___________
Strategy used: _________________________________
💡 Remember: Mental strategies help you divide quickly without a calculator. Choose the strategy that makes the most sense for each problem!