Diamond Problem Solver Examples

Practice with curated examples from beginner to advanced

Easy Integers

Basic Integer Problem

Given: Product = 24, Sum = 10

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Factors: 4 and 6

Because 4 × 6 = 24 and 4 + 6 = 10

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Easy Both Factors

Given Both Factors

Given: A = 3, B = 5

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Product = 15, Sum = 8

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Medium Negative Numbers

Negative Product & Sum

Given: Product = -24, Sum = -2

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Factors: 4 and -6

Because 4 × -6 = -24 and 4 + (-6) = -2

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Medium Fractions

Simple Fractions

Given: A = 1/2, B = 1/3

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Product = 1/6, Sum = 5/6

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Hard Decimals

Decimal Challenge

Given: Product = 7.5, Sum = 5.5

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Factors: ≈ 4.28 and ≈ 1.22

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Hard Mixed Numbers

Mixed Number Problem

Given: A = 2 1/2, B = 1 1/3

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Product = 10/3 (or 3 1/3), Sum = 23/6 (or 3 5/6)

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