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
Quantitative
Find the rule that works for both completed pairs. 17 → 13 and 18 → 14. Using the same rule, 31 → ___.
Show explanation
Both completed pairs use the same rule: subtract 4. Apply it to the last input: 31 - 4 = 27.
Skill tested: Inferring a one-step additive number relationship from two examples
Question 2 of 12
Number Analogies Practice Question
Quantitative
6 is to 8 as 5 is to ___.
Show explanation
The first number increases by 2. Apply the same rule: 5 + 2 = 7.
Skill tested: Recognizing additive number relationships
Question 3 of 12
Number Analogies Practice Question
Quantitative
4 is to 13 as 8 is to ___.
Show explanation
The rule is multiply by 2, then add 5. So 8 x 2 + 5 = 21.
Skill tested: Applying a two-step number relationship
Question 4 of 12
Number Analogies Practice Question
Quantitative
5 is to 15 as 7 is to ___.
Show explanation
The rule is multiply by 2, then add 5. So 7 x 2 + 5 = 19.
Skill tested: Applying a two-step number relationship
Question 5 of 12
Number Analogies Practice Question
Quantitative
4 is to 16 as 8 is to ___.
Show explanation
The first number is multiplied by 4. Apply the same rule: 8 x 4 = 32.
Skill tested: Recognizing multiplicative number relationships
Question 6 of 12
Number Analogies Practice Question
Quantitative
4 is to 16 as 7 is to ___.
Show explanation
The first number is multiplied by 4. Apply the same rule: 7 x 4 = 28.
Skill tested: Recognizing multiplicative number relationships
Question 7 of 12
Number Analogies Practice Question
Quantitative
4 is to 6 as 5 is to ___.
Show explanation
The first number increases by 2. Apply the same rule: 5 + 2 = 7.
Skill tested: Recognizing additive number relationships
Question 8 of 12
Number Analogies Practice Question
Quantitative
4 is to 10 as 4 is to ___.
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 9 of 12
Number Analogies Practice Question
Quantitative
Find the rule that works for both completed pairs. 10 → 40 and 20 → 80. Using the same rule, 25 → ___.
Show explanation
Both completed pairs use the same rule: multiply by 4. Apply it to the last input: 25 × 4 = 100.
Skill tested: Inferring a multiplicative number relationship from two examples
Question 10 of 12
Number Analogies Practice Question
Quantitative
Find the rule that works for both completed pairs. 4 → 12 and 9 → 27. Using the same rule, 15 → ___.
Show explanation
Both completed pairs use the same rule: multiply by 3. Apply it to the last input: 15 × 3 = 45.
Skill tested: Inferring a multiplicative number relationship from two examples
Question 11 of 12
Number Analogies Practice Question
Quantitative
3 is to 10 as 9 is to ___.
Show explanation
The rule is multiply by 2, then add 4. So 9 x 2 + 4 = 22.
Skill tested: Applying a two-step number relationship
Question 12 of 12
Number Analogies Practice Question
Quantitative
3 is to 11 as 8 is to ___.
Show explanation
The rule is multiply by 2, then add 5. So 8 x 2 + 5 = 21.
Skill tested: Applying a two-step number relationship
Next practice steps
Next, try Number Series, Number Puzzles, or return to Quantitative Practice.
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