Free CogAT 7th Grade Practice Test & PDF: Build Confidence Before the Real Exam

Lifelike CogAT Practice Questions to Help Your Child Prepare and Increase Their Chances of Scoring High

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Created by Roman K., Test Prep Expert Since 2016

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Table of Contents

Free CogAT 7th Grade Practice Test (PDF Included)

The following sample questions are taken from the complete practice package and mirror each of the question types your child will face on the actual CogAT test.

These questions are also available in a printable PDF format that you can download and print.

CogAT Grade 7 Nonverbal Battery Sample Questions

Figure Matrices Practice Question

Figure Matrix questions are either 2×2 or 3×3 matrices comprised of different pictures. In each row and/or column, the pictures change in the same way or follow the same rule.

Choose the answer that goes in the empty box in the matrix following the same rule.

CogAT 7th Grade Practice Question - Nonverbal

The correct answer is A.

From left to right along the row, the left/top arrow rotates 180 degrees to form the shape in the second column, and in the next turn, the right/bottom arrow rotates 180 degrees to form the shape in 3rd column.

Only option A meets the given criteria.

Welcome to your trusted practice resource for the CogAT 7th Grade test (Level 13).

The following comprehensive materials are designed to help your child build confidence, improve their skills, and achieve higher scores to qualify for the gifted or advanced program you have in mind.

Figure Classification Practice Question

In Figure Classification questions, three pictures share a connection or a characteristic. Choose the answer that shares the same connection/characteristic from the answer choices.

CogAT Grade 7 Sample Question - Figure Classification

The correct answer is E.

In this question, the pattern is as follows:

  • All pictures contain two big white figures connected to one another.
  • Inside each figure, there is a small grey figure, identical to the other figure in that picture. Each grey shape is a smaller version of the shape that is connected to the figure that it is inside of.
  • Each small grey figure is in the same orientation as its bigger identical figure, but is rotated 180 degrees.

The only answer that matches the pattern is the option E choice, and therefore, it is the correct answer

Paper Folding Practice Question

In this question type, you’ll see a paper folded several times and then punched with holes. The answer choices contain unfolded papers with punched-in holes. You need to determine which of the answer choices is the final product of the unfolded punched-in paper.

CogAT Level 13 Sample Question - Paper Folding

The correct answer is B.

Paper Folding Sample Question Solution

A square paper is folded into a quarter square and again folded into a triangle. When a hole is punched into it, it will cut eight sides of the paper, and eight holes will be visible as seen at option B.

Many students find nonverbal questions tricky at first, especially when the timer is ticking.

These tasks involve spotting patterns, completing shapes, and thinking visually, which takes some getting used to.

With steady practice, though, these skills quickly improve. Your child will start to recognize patterns faster, answer more accurately, and feel more confident.

In the full practice pack, you’ll find over 100 focused nonverbal exercises that strengthen reasoning and problem-solving abilities, helping your child perform at their best on test day.

Increase Your Child's Chances of Qualifying for Gifted Programs

Help your child prepare with a complete practice package designed to maximize their chances of scoring high and getting accepted to advanced programs.

Build Confidence with Realistic Practice Tests

Master All Test Areas with Targeted Practice

Gain an Edge with Step-by-Step Video Lessons

CogAT Grade 7 Quantitative Battery Sample Questions

Number Analogies Practice Question

This question shows two pairs of numbers with a certain mathematical connection and another number that shares that connection with one of the answer choices. Find the missing number for the third pair.

[3 → 28]  [4 → 65]  [5 → ?]

Correct Answer: 126

The presented pattern involves calculating the value on the right side of each pair by cubing (multiplying that number by itself three times) the corresponding value on the left side and then adding 1.

For instance, 28 is calculated by cubing 3 (3^3 = 27) and then adding 1, which gives 28. Similarly, 65 is obtained by cubing 4 (4^3 = 64) and then adding 1, resulting in 65.

Following this pattern, cubing 5 (5^3 = 125) and then adding 1 gives us 126.

Therefore, the correct answer is 126.

Number Series Practice Question

This question provides a series of numbers that have a rule. Use the rule to determine which number will come next in the series.

81 54 45 42     ?

Correct Answer: 41

Let’s find the differences between the numbers:

54 – 81 = -27
45 – 54 = -9
42 – 45 = -3

Now notice the pattern:

Each difference is one-third of the previous one (-27 ÷ 3 = -9, and -9 ÷ 3 = -3).

To continue the pattern, the next difference should be −1 (one-third of −3).

42 – 1 = 41

Number Puzzles Practice Question

In these questions, you are given a set of equations. You must solve the equations to determine the number that goes instead of the question mark.

(⍰ × 20) – (♦ ÷ 7) = ▲ × 20
♦ = 14 ×10
▲ = 600 – 250

Correct Answer: 351

♦ = 14 ×10=140
▲ = 600 – 250 = 350
(⍰ × 20) – (140 ÷ 7) = 350 × 20 (Using ♦ = 140 and ▲ = 350)
(⍰ × 20) – 20 = 350 × 2 × 10 = 7000 (Dividing 140 by 7 and multiplying 350 by 20, and simplifying the multiplication)
⍰ × 20 = 7000 + 20 (Adding 20 to both sides)
⍰ × 20 = 7020 (Simplifying)
⍰ = 7020 ÷ 20 (Dividing both sides by 20)
⍰ = 7020 ÷ 10 ÷ 2 = 702 ÷ 2 = 351 (Simplifying the division)
⍰ = 351

Math can sometimes feel challenging, but regular practice can change that.

Step-by-step learning helps children gain confidence and feel more comfortable solving problems under pressure.

Even short daily exercises can make a big impact, turning difficult topics into ones your child understands and enjoys. The more they practice, the stronger their math skills grow.

For extra support, the complete practice pack offers over 100 CogAT-style math questions designed to build confidence, sharpen problem-solving, and help your child perform better on the test.

CogAT Grade 7 Verbal Battery Sample Questions

Verbal Analogies Practice Question

This question type provides a pair of words that go together in a certain way and a third word. Choose a word from the answer choices that goes together with the third word in the same way.

zealous → apathy : dogmatic → ?

Correct Answer: doubt

The relationship is an adjective describing a strong state or quality, and the state that is the exact opposite of it.

To be zealous is to show great energy or enthusiasm, which is the opposite of exhibiting apathy. To be dogmatic is to be characterized by the absence of doubt.

Sentence Completion Practice Question

Choose the word or words from the answer choices that best complete the sentence.

The artist carefully _________ the sculpture and then _________ it with a protective coating to preserve its appearance.

The correct answer is carved, polished.

“Carved” means to shape something by cutting, which is how sculptures are often created.

“Polished” means to make the surface smooth and shiny, which helps protect and enhance the sculpture’s appearance.

The other choices are incorrect because:

  • (A) shaped .. filled – While shaping is close, filled is not appropriate since the coating is only for the surface.
  • (B) destroyed .. ignored – These words contradict the idea of preservation.
  • (D) damaged .. exposed – Damaging and exposing go against careful treatment.
  • (E) painted .. neglected – Painting might happen, but neglecting does not preserve the sculpture.

Verbal Classification Practice Question

This question type shows three words that are alike in some way. Decide how they are alike, and choose the word that belongs in the same group as the first three words.

peninsula     isthmus     island

The correct answer is cape.

A peninsula, an isthmus, an island, and a cape are each landforms that are adjacent to water.

Keep Practicing with the Complete Practice Package to Maximize Your Child’s Scores

CogAT Grade 7 Test Format & Structure

The CogAT for 7th graders assesses students’ cognitive abilities and reasoning skills. Schools use it to identify high-ability students for gifted and talented and other advanced programs.

This test includes 176 questions and is designed for students around 13 years old. It evaluates three key skill areas, also called “batteries.”

  • Verbal Reasoning – Understanding words and relationships
  • Quantitative Reasoning – Working with numbers and solving math-based problems
  • Nonverbal Reasoning – Recognizing patterns, shapes, and spatial relationships

Each battery is divided into three subtests, each with its own number of questions, as seen in the table below.

Schools may choose to give the test in one session or across multiple days with one battery at a time, depending on their schedule and students’ needs.

Check the table below for a detailed breakdown of the subtests in each section:

  No. of Questions Time Limits
Nonverbal Battery    
Figure Matrices 22 10 minutes
Figure Classification 22 10 minutes
Paper Folding 16 10 minutes
Quantitative Battery    
Number Analogies 18 10 minutes
Number Series 18 10 minutes
Number Puzzles 16 10 minutes
Verbal Battery    
Verbal Analogies 24 10 minutes
Sentence Completion 20 10 minutes
Verbal Classification 20 10 minutes
Total 176 Questions 90 minutes
(not incl. settling time)

The complete practice package includes a full-length simulation with the same number of questions (176) and time limits (90 minutes). This will enable your child to get used to the test’s time pressure and improve their time management skills.

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