CogAT Number Analogies Practice Questions

Number Analogies questions ask students to find the relationship between one pair of numbers and apply the same relationship to a new pair.

Practice original CogAT-style number analogy questions with explanations.

How to use this practice page

  • Read each question carefully before selecting an answer.
  • Choose A, B, C, or D, then check the answer explanation.
  • Look for the reasoning rule instead of guessing from the first thing you notice.
  • Use the explanations to talk through the thinking process with your child or student.

Skills practiced: number relationships, operations, comparison, and proportional reasoning.

Number Analogies Practice

Select an answer for each question, then check your work to see the explanation.

Question 1 of 12

Number Analogies Practice Question

Grade 4 · Level 10 · Hard

Quantitative

4 is to 10 as 4 is to ___.

Choose the best answer:
Show explanation

The rule is multiply by 2, then add 2. So 4 x 2 + 2 = 10.

Skill tested: Applying a two-step number relationship

Question 2 of 12

Number Analogies Practice Question

Grade 3 · Level 9 · Easy

Quantitative

Find the rule that works for both completed pairs. 2 → 7 and 18 → 23. Using the same rule, 37 → ___.

Choose the best answer:
Show explanation

Both completed pairs use the same rule: add 5. Apply it to the last input: 37 + 5 = 42.

Skill tested: Inferring a one-step additive number relationship from two examples

Question 3 of 12

Number Analogies Practice Question

Grade 6 · Level 12 · Hard

Quantitative

8 is to 20 as 5 is to ___.

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The rule is multiply by 2, then add 4. So 5 x 2 + 4 = 14.

Skill tested: Applying a two-step number relationship

Question 4 of 12

Number Analogies Practice Question

Grade 4 · Level 10 · Medium

Quantitative

3 is to 12 as 7 is to ___.

Choose the best answer:
Show explanation

The first number is multiplied by 4. Apply the same rule: 7 x 4 = 28.

Skill tested: Recognizing multiplicative number relationships

Question 5 of 12

Number Analogies Practice Question

Grade 3 · Level 9 · Hard

Quantitative

Find the rule that works for both completed pairs. 4 → 2 and 20 → 34. Using the same rule, 25 → ___.

Choose the best answer:
Show explanation

Both completed pairs use the same rule: multiply by 2, then subtract 6. Apply it to the last input: 25 × 2 - 6 = 44.

Skill tested: Inferring and applying a two-step number relationship from two examples

Question 6 of 12

Number Analogies Practice Question

Grade 6 · Level 12 · Easy

Quantitative

6 is to 10 as 9 is to ___.

Choose the best answer:
Show explanation

The first number increases by 4. Apply the same rule: 9 + 4 = 13.

Skill tested: Recognizing additive number relationships

Question 7 of 12

Number Analogies Practice Question

Grade 3 · Level 9 · Medium

Quantitative

4 is to 8 as 3 is to ___.

Choose the best answer:
Show explanation

The first number is multiplied by 2. Apply the same rule: 3 x 2 = 6.

Skill tested: Recognizing multiplicative number relationships

Question 8 of 12

Number Analogies Practice Question

Grade 6 · Level 12 · Hard

Quantitative

5 is to 13 as 6 is to ___.

Choose the best answer:
Show explanation

The rule is multiply by 2, then add 3. So 6 x 2 + 3 = 15.

Skill tested: Applying a two-step number relationship

Question 9 of 12

Number Analogies Practice Question

Grade 5 · Level 11 · Easy

Quantitative

Find the rule that works for both completed pairs. 51 → 48 and 85 → 82. Using the same rule, 89 → ___.

Choose the best answer:
Show explanation

Both completed pairs use the same rule: subtract 3. Apply it to the last input: 89 - 3 = 86.

Skill tested: Inferring a one-step additive number relationship from two examples

Question 10 of 12

Number Analogies Practice Question

Grade 6 · Level 12 · Medium

Quantitative

5 is to 20 as 5 is to ___.

Choose the best answer:
Show explanation

The first number is multiplied by 4. Apply the same rule: 5 x 4 = 20.

Skill tested: Recognizing multiplicative number relationships

Question 11 of 12

Number Analogies Practice Question

Grade 5 · Level 11 · Medium

Quantitative

6 is to 18 as 4 is to ___.

Choose the best answer:
Show explanation

The first number is multiplied by 3. Apply the same rule: 4 x 3 = 12.

Skill tested: Recognizing multiplicative number relationships

Question 12 of 12

Number Analogies Practice Question

Grade 3 · Level 9 · Medium

Quantitative

Find the rule that works for both completed pairs. 5 → 15 and 8 → 24. Using the same rule, 19 → ___.

Choose the best answer:
Show explanation

Both completed pairs use the same rule: multiply by 3. Apply it to the last input: 19 × 3 = 57.

Skill tested: Inferring a multiplicative number relationship from two examples

Next practice steps

Next, try Number Series, Number Puzzles, or return to Quantitative Practice.

For grade-based mixed practice, choose a grade from the Practice menu.

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