Lifelike CogAT Practice Questions to Help Your Child Prepare and Increase Their Chances of Scoring High
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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.
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.
The correct answer is A.
To solve this one, follow the arrows separately.
Moving from the first column to the second, the left or upper arrow rotates 180 degrees.
Then, moving to the third column, the other arrow rotates 180 degrees.
The important detail is that the two arrows do not change at the same time.
One changes first, and then the other follows.
Apply that same sequence to the unfinished row, and only answer A places both arrows correctly.
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.
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.
The correct answer is E.
There are several clues to track.
Each example contains two large white shapes connected together.
Inside each large shape is a smaller grey shape.
But the small shape does not match the larger shape around it.
Instead, it matches the other large shape in the pair.
There is also another rule.
Each small grey shape is rotated 180 degrees compared with its larger matching shape.
Answer E is the only choice that follows all of those rules.
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.
The correct answer is B.
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 200 focused nonverbal exercises that strengthen reasoning and problem-solving abilities, helping your child perform at their best on test day.
Help your child prepare with a complete practice package designed to maximize their chances of scoring high and getting accepted to advanced programs.
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 → ?]
The correct answer is 126.
Let’s find the rule logically.
We need something that turns 3 into 28 and also turns 4 into 65.
Simple addition or multiplication does not give us the same rule for both pairs.
So look at powers.
3 cubed means:
3 times 3 times 3.
That equals 27.
28 is exactly one more than 27.
So a possible rule is:
Cube the number, then add 1.
But don’t use the rule yet.
First, check whether it also works with the second pair.
4 cubed is 64.
64 plus 1 equals 65.
Now we know the rule works for both examples.
So apply it to 5.
5 cubed is 125.
125 plus 1 equals 126.
So the correct answer is 126.
A strong strategy for Number Analogies is to test your rule on every completed pair.
If it only works once, you probably have the wrong rule.
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
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 200 CogAT-style math questions designed to build confidence, sharpen problem-solving, and help your child perform better on the test.
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.
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:
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, and an island are all landforms closely connected with water.
A cape is also a landform that extends into a body of water.
Sea is water rather than a landform.
A mountain and volcano are landforms, but their defining feature is not their relationship with water.
So cape fits the group best.
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.”
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 full-length simulations with the same number of questions and time limits. This will enable your child to get used to the test’s time pressure and improve their time management skills.
