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100+ Free CogAT Quantitative Practice Questions

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Number analogy: 2 -> 5, 4 -> 17, 6 -> 37, 8 -> ?

A
B
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Key Facts: CogAT Quantitative Exam

1 of 3

CogAT batteries

Riverside Insights

3 subtests

Analogies, puzzles, series

Riverside Insights

No universal pass/fail

Scoring use

Riverside Insights

CogAT Quantitative practice should build flexible number-pattern reasoning with original items. Official operational CogAT items are secure and should not be copied.

Sample CogAT Quantitative Practice Questions

Try these sample questions to test your CogAT Quantitative exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Number analogy: 2 -> 5, 4 -> 7, 6 -> ?
A.8
B.9
C.10
D.12
Explanation: Each starting number increases by 3. Since 6 + 3 = 9, the missing number is 9.
2Number analogy: 3 -> 6, 5 -> 10, 7 -> ?
A.12
B.13
C.14
D.15
Explanation: Each number is doubled. Doubling 7 gives 14, so 14 completes the analogy.
3Number analogy: 10 -> 8, 7 -> 5, 12 -> ?
A.10
B.11
C.14
D.6
Explanation: Each ending number is 2 less than the starting number. Since 12 - 2 = 10, the answer is 10.
4Number analogy: 4 -> 16, 6 -> 24, 8 -> ?
A.28
B.30
C.36
D.32
Explanation: Each starting number is multiplied by 4. Since 8 x 4 = 32, the missing number is 32.
5Number analogy: 9 -> 3, 12 -> 4, 15 -> ?
A.5
B.6
C.7
D.3
Explanation: Each starting number is divided by 3. Since 15 divided by 3 is 5, the missing number is 5.
6Number analogy: 2 -> 7, 5 -> 10, 8 -> ?
A.11
B.12
C.13
D.16
Explanation: Each pair follows the rule add 5. Since 8 + 5 = 13, the answer is 13.
7Number analogy: 3 -> 10, 5 -> 16, 7 -> ?
A.20
B.22
C.24
D.28
Explanation: The rule is multiply by 3 and then add 1. For 7, 7 x 3 + 1 = 22.
8Number analogy: 6 -> 4, 9 -> 7, 13 -> ?
A.9
B.10
C.11
D.12
Explanation: Each ending number is 2 less than the starting number. Since 13 - 2 = 11, the answer is 11.
9Number analogy: 2 -> 6, 4 -> 20, 6 -> ?
A.30
B.36
C.40
D.42
Explanation: Each number is multiplied by the next whole number: 2 x 3 = 6 and 4 x 5 = 20. So 6 x 7 = 42.
10Number analogy: 5 -> 12, 8 -> 18, 11 -> ?
A.24
B.25
C.26
D.28
Explanation: The rule is double the number, then add 2. For 11, 11 x 2 + 2 = 24.

About the CogAT Quantitative Exam

The CogAT Quantitative Battery measures reasoning with number relationships, sequences, and missing values. It is one of the three CogAT batteries used to describe student reasoning strengths for instructional planning and gifted/talented decisions.

Assessment

Quantitative reasoning battery with number analogies, number puzzles, number series, and related pattern reasoning.

Time Limit

Varies by CogAT form, level, and administration plan

Passing Score

No universal pass/fail score; schools use local norms, cut scores, and multiple measures

Exam Fee

School-administered; access and cost vary by school, district, or testing provider (Riverside Insights; administered by schools, districts, and approved testing providers)

CogAT Quantitative Exam Content Outline

Core quantitative subtest

Number Analogies

Arithmetic relationships, proportional changes, paired rules, and comparison patterns.

Core quantitative subtest

Number Puzzles

Missing values, balance relationships, arithmetic operations, and multi-step quantitative reasoning.

Core quantitative subtest

Number Series

Increasing, decreasing, alternating, recursive, and multi-rule sequences.

How to Pass the CogAT Quantitative Exam

What You Need to Know

  • Passing score: No universal pass/fail score; schools use local norms, cut scores, and multiple measures
  • Assessment: Quantitative reasoning battery with number analogies, number puzzles, number series, and related pattern reasoning.
  • Time limit: Varies by CogAT form, level, and administration plan
  • Exam fee: School-administered; access and cost vary by school, district, or testing provider

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

CogAT Quantitative Study Tips from Top Performers

1Test simple arithmetic rules before assuming a complex pattern.
2Check whether a sequence alternates between two rules.
3For number puzzles, write the same operation on both sides before solving.
4Explain the rule in words, not only by calculating the answer.

Frequently Asked Questions

What is on the CogAT Quantitative Battery?

Public Riverside descriptions identify number analogies, number puzzles, and number series.

Does CogAT Quantitative test school math facts only?

No. It uses number relationships and patterns to measure reasoning, not just recall of a curriculum.

Are these official CogAT quantitative items?

No. These are original practice questions aligned to public CogAT quantitative subtest descriptions.