PRACTICE TOGETHER. LEARN AT YOUR LEVEL.

CogAT-Style Number Analogies: Find and Explain the Rule

Number analogies ask you to apply a relationship consistently. These independently written examples help families discuss a rule and explain why it fits.

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What can you practice?

Compare input and output numbers.
Test a candidate rule against every supplied example.
Use a stated rule family to avoid ambiguity.
Explain the relationship before choosing an answer.

Worked practice examples

Use a rule “multiply by a number, then add a number”: 3 → 8 and 5 → 12. What does 7 map to?

The input increases by 2 and the output by 4, so the multiplier is 2. Since 3 × 2 = 6, add 2. Check 5 × 2 + 2 = 12. Then 7 × 2 + 2 = 16.

Use one multiplication rule: 2 → 6 and 4 → 12. What does 5 map to?

Both examples multiply by 3. Therefore 5 × 3 = 15. Check both pairs instead of guessing from the first alone.

How to use this practice

Ask the learner to explain a proposed rule and test every given pair. One pair alone can fit many different rules. These original examples are discussion activities, not reproduced test items, official age-level calibration or a score predictor.

A common parent question

Is MathCraft affiliated with CogAT? No. CogAT is a registered trademark of Riverside Insights. MathCraft’s reasoning practice is independent and is not an official test or complete test-preparation course.

Start with a parent account

Create your free parent account, confirm your email, and choose a private parent PIN. Add children using nicknames, pick their learning paths, then choose Set up on this device and hand it to the child to create their PIN. Returning family members choose their profile and enter their PIN. The optional parent reward store is fully controlled by your family; no payment card is required for this beta.

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