Equivalent Number Sentences Tasks
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Equivalent Number Sentences Tasks
📚 Task 1: Basic Inverse Operations
a) 6 × _____ = 42
b) _____ ÷ 8 = 9
c) 5 × 7 = _____ ÷ 2
a) 48 ÷ 6 = 8, so 8 × 6 = _____
b) 9 × 4 = 36, so 36 ÷ _____ = 9
If 7 × 8 = 56, then:
56 ÷ 7 = 8 56 + 7 = 8 56 - 7 = 8✏️ Task 2: Rearranging Number Sentences
a) 12 × n = 84
Verification: _____ × _____ = _____
a) 63 ÷ 7 = 9
b) 8 × 12 = 96
144 ÷ x = 16
🧠 Task 3: Advanced Problems & Newman Extension
If 15 × a = 225 and b ÷ 5 = a, find the value of b. Show all working and explain your reasoning.
Sarah solved: 168 ÷ n = 12
Her working: n = 168 + 12 = 180
a) Identify and explain Sarah's error:
b) Show the correct solution:
Create a real-world problem that can be solved using the number sentence: 72 ÷ x = 8. Then solve it using inverse operations and explain why your method works.
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