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
4 is to 10 as 9 is to ___.
Show explanation
The rule is multiply by 2, then add 2. So 9 x 2 + 2 = 20.
Skill tested: Applying a two-step number relationship
Question 2 of 12
Number Analogies Practice Question
Quantitative
2 is to 4 as 4 is to ___.
Show explanation
The first number is multiplied by 2. Apply the same rule: 4 x 2 = 8.
Skill tested: Recognizing multiplicative number relationships
Question 3 of 12
Number Analogies Practice Question
Quantitative
Find the rule that works for both completed pairs. 6 → 24 and 11 → 44. 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 4 of 12
Number Analogies Practice Question
Quantitative
5 is to 14 as 4 is to ___.
Show explanation
The rule is multiply by 2, then add 4. So 4 x 2 + 4 = 12.
Skill tested: Applying a two-step number relationship
Question 5 of 12
Number Analogies Practice Question
Quantitative
6 is to 10 as 7 is to ___.
Show explanation
The first number increases by 4. Apply the same rule: 7 + 4 = 11.
Skill tested: Recognizing additive number relationships
Question 6 of 12
Number Analogies Practice Question
Quantitative
6 is to 10 as 9 is to ___.
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
Quantitative
5 is to 12 as 6 is to ___.
Show explanation
The rule is multiply by 2, then add 2. So 6 x 2 + 2 = 14.
Skill tested: Applying a two-step number relationship
Question 8 of 12
Number Analogies Practice Question
Quantitative
7 is to 9 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 9 of 12
Number Analogies Practice Question
Quantitative
6 is to 8 as 4 is to ___.
Show explanation
The first number increases by 2. Apply the same rule: 4 + 2 = 6.
Skill tested: Recognizing additive number relationships
Question 10 of 12
Number Analogies Practice Question
Quantitative
2 is to 8 as 6 is to ___.
Show explanation
The first number is multiplied by 4. Apply the same rule: 6 x 4 = 24.
Skill tested: Recognizing multiplicative number relationships
Question 11 of 12
Number Analogies Practice Question
Quantitative
4 is to 16 as 5 is to ___.
Show explanation
The first number is multiplied by 4. Apply the same rule: 5 x 4 = 20.
Skill tested: Recognizing multiplicative number relationships
Question 12 of 12
Number Analogies Practice Question
Quantitative
4 is to 11 as 5 is to ___.
Show explanation
The rule is multiply by 2, then add 3. So 5 x 2 + 3 = 13.
Skill tested: Applying a two-step number relationship
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.