Grade 4 Math Puzzle 4: List factor pairs, then test

A free grade 4 math puzzle that teaches List factor pairs, then test. Try it first — the hint and the full solution open when you are ready.

Problem 4 · List factor pairs, then test · 4 points

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Mara multiplies two whole numbers and gets 24. When she adds the same two numbers she gets 11. What is the DIFFERENCE of the two numbers?

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Which pairs of whole numbers multiply to 24? Check each pair's sum.

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Answer: A — 5

Factor pairs of 24: 1×24 (sum 25), 2×12 (sum 14), 3×8 (sum 11 ✓), 4×6 (sum 10). The numbers are 3 and 8, difference 5. Generating all candidates from the stronger clue (the product) and filtering with the weaker one is faster than guessing blindly.

Grade 4 puzzle 4: List factor pairs, then test

Problem 4 · List factor pairs, then test · 4 points