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CogAT Quantitative Battery - Question Types Explained

Learn about the CogAT Quantitative Battery, which is made up of the following question types: Number Analogies, Number Puzzles, and Number Series.
 
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The CogAT Quantitative Battery assesses students’ quantitative reasoning and problem solving abilities. This section also evaluates the students’ level of abstract reasoning. The CogAT Quantitative Battery is comprised of three subtests: Number Series, Number Puzzles, and Number Analogies. These three subtests combined make up the CogAT Quantitative score.

Learn more about the different types of CogAT questions

CogAT Verbal

CogAT Nonverbal

Number of Items by Level & Section

Quantitative Battery Level 5/6 Level 7 Level 8 Level 9 Level 10-18
Number Series1416181818
Number Puzzles1012141616
Number Analogies1416181818

Number Series

For Level 5/6 - Level 8, students are presented with a series of images of beads on an abacus toy. The students are then required to determine the next abacus toy in the series based on the pattern presented. In Levels 9 and up, students are presented with a series of number and they are required to determine which number should follow in the series. Below, you can see an example of a Number Series question from a Level 9 CogAT test:


Answer and Explanation

The correct answer is B. In this series, every number is larger than the number before it by 2. The pattern is: +2,+2,+2,...
The last number in this series is 9, the next number in the series should be larger than 9 by 2:

9+2=11

Therefore B is the correct answer.

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Number Puzzles

For Level 5/6 - Level 8, this question provides pictures to represent math problems. In Levels 9 and up, students are required to solve simple equations by choosing the answer choice that makes the amounts on either side of the equal sign the same. Below, you can see an example of a Number Puzzles question from a Level 10 CogAT test:


Answer and Explanation

The correct answer is E. The first thing to notice when solving this type of question is that both sides of the equation must be equal. Since we are trying to solve for the '?', we must get it by itself on one side of the equation. To do this we must divide both sides by three:
  • 5 + 10 ÷3 = ? × 3 ÷3
  • Our new equation is: (5 + 10) ÷ 3 = ?
  • Now solve for '?': 5 + 10 = 15 , 15 ÷ 3 = 5

Therefore, E is the correct answer.


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Number Analogies

For Level 5/6 - Level 8, students are presented with a 2 x 2 matrix with three pictures and one empty cell. The students must determine the mathematical relationship between the the two boxes in the top row and then apply this to the picture in the bottom row, selecting the answer which portrays the same relationship as the top row. In Levels 9 and up, students must determine which of the answer choices is analogous to the numbers in the question. Below, you can see an example of a Number Analogies question from a Level 8 CogAT test:


Answer and Explanation

The correct answer is A. Look at the top row, in the left box we have 2 stars in the right box we have 3 stars. 3 is greater than 2 by 1 (2 + 1 = 3). In the bottom row we should have the same relationship. In the left box we have 4 circles, in the right box we should have 1 more circle.

4 + 1 = 5

Therefore, the answer choice with 5 (A) circles is the correct answer.
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