Free CogAT Practice Test

The correct answer is 3.

All three figures in this question contain shapes divided into two uneven pieces (1/3 and 2/3).

Answer choices 1 and 2 are divided into two even pieces.

Answer choice 3 is divided into two uneven pieces (1/3 and 2/3).

Therefore, the 3rd choice is the correct answer.

The correct answer choice is 2 (three apples). 

In the first train there are six apples.

In the second train there are three apples. 

How many apples do we need to put in the car with the question mark so that both trains will carry the same number of apples?

We need to put three apples in the car, because 3 + 3 = 6.  

The only answer choice that shows this number of apples is answer choice 2, which is the correct answer.

The correct answer is 2.  

A spider makes and lives in a spider web like a bird makes and lives in a nest.  

The bare tree is not a correct answer because the bird does not make the tree itself like the spider makes the web. The bird builds its nest on the tree.

The net is not correct either because it is not something the bird builds or lives in.

The correct answer is 2.

In the top row we have two figures - how do they go together?

The shape on the right looks like the one on the left but it is divided into quarters, with the top-right and bottom-left quarters shaded.In the bottom row we have a single figure, and we need to find a figure that will go together with it in the same way that the two figures above go together.

In answer choice 1 the wrong quarters are shaded, so it is not the right answer.Answer choice 3 is not divided into quarters, so it is not the right answer either.

The correct answer is the 1st answer choice (1 bead). 

At first glance, we can we see that the number of beads remains 3 or smaller, so we know that answer choice 3 is definitely not the right answer because it has 4 beads.   

To find the correct answer, we need to figure out the pattern of the beads in the question.

As we go from left to right, first we have 1 bead, then 2, then 3, then 1 again, 2 again, and 3 again. The pattern is: 1 bead, 2 beads, 3 beads, and then the pattern repeats itself from the beginning.

Since on the last string we have 3 beads, there should be 1 bead on the next string.

The correct answer is the 1st choice. 

Look at the top row. All the items in the top row are motor vehicles (they have a motor, and they travel on the road). 

The correct answer should be a similar item. The bicycle is not a correct answer because it does not have a motor. The airplane is also not a correct answer as it flies in the sky. 

We are left with the car as the best possible answer; therefore, it is the correct choice.

The correct answer is 3.

First, the rectangular paper is folded in half lengthwise. Then, an arrow and L-shape are cut out of the folded paper. Consequently, the unfolded paper will have two arrow cut-outs and two L-shape cut-outs. Since the paper is folded lengthwise, the second arrow and second L-shape must mirror horizontally the cut arrow and L-shape which eliminates answer choices 1 and 2. Choice 4 can be eliminated as the arrow should be below the L-shape and not above it.

We are left with choice 3 as the correct answer.

The correct answer is the 3rd choice

Look at the top row, in the left frame we have 2 slices of pizza and in the right frame we have 4 slices of pizza. 4 is greater than 2 by 2 (2 + 2 = 4).

In the bottom row we should have the same relationship. In the left frame we have 3 slices of pizza. In the right frame we should have 2 more slices.

3 + 2 = 5

Therefore, the answer choice with 5 slices of pizza is the correct answer.

The correct answer is d.

The three shapes all have an even number of sides. Therefore, the correct answer will have an even number of sides. Choice 1 has five sides, choices 2 and 5 have seven sides, and choice 3 doesn’t have any sides.

The only choice left with an even number of sides is choice d, which is the correct answer.

The correct answer is 19.

In this series, the pattern is as follows: first, 4 is added, then 2 is added; then 4 again, then 2, and so on. 

The pattern is: +4,+2,+4,+2,...

The last two numbers in the series are 13 and 17. 17 is larger than 13 by 4, so the next number in the series should be larger than 17 by 2. 

17+2=19

Therefore, 19 is the correct answer.

The correct answer is: sheep.

Honey is made in a process that involves bees like wool is made in a process that involves sheep.

The correct answer is e.

First, the square paper is folded in half to make a triangle. Then, a pentagon and parallelogram are cut out of the folded paper. Consequently, there will be two pentagon cut-outs and two parallelogram cut-outs when the paper is unfolded again. Also, the second pentagon and second parallelogram must be rotated 90° clockwise and flipped vertically since the paper was folded along the diagonal. 

The correct answer is 49.

Look for the pattern in the first series of numbers.
The relationship between 75 and 66 is the subtraction of 9. 75 - 9 = 66.

Does this rule work for the second pair, as well?
When we subtract 9 from 33, we get 24. 33 - 9 = 24.

The rule "subtract 9 from the first number to get the second" works in both pairs. So in the next series we should also subtract 9: 58 - 9 = 49.

Therefore, 49 is the correct answer.

The correct answer is grapefruit.

Lemons, oranges, limes and grapefruits are all citrus fruits.

The correct answer is b.

The relationship between the two cells on top is as follows: the bottom shape (trapezoid) in the left cell becomes the outermost shape in the right cell; the middle shape (triangle) is rotated 90° clockwise and becomes the innermost shape in the right cell; the top shape (circle) becomes the middle shape in the right cell.

The two bottom cells should follow the same relationships as the top ones. Therefore, if we apply the same rules to the bottom left figure as we did to the lop left figure, we should get the correct answer. The bottom shape (rectangle) in the bottom-left cell must become the outermost shape. This means we can eliminate answers d and e. The middle shape (triangle) must be rotated 90° and become the innermost shape, and the top shape (oval) must become the middle shape. Answers a and c can be eliminated since they do not have the triangle in the correct position.

This leaves option b as the correct answer, as the bottom rectangle becomes the outer shape, the middle triangle is rotated 90° and becomes the inner shape, and the top oval becomes the middle shape.

The correct answer is 5.

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. In order to do this, we must subtract 7 from both sides:

2 × 6 -7 = ? + 7 -7

Our new equation is: 2 × 6 - 7 = ?

Now solve for '?': 2 × 6 = 12 , 12 - 7 = 5

Therefore, 5 is the correct answer.

Alternatively, we can solve the side of the problem in which we have all of the numbers, then see what needs to be done in order to make the other side equal the same number.

2 × 6 = 12

12 = ? + 7

What must be added to 7 in order to equal 12?

7 + 5 = 12

Therefore, 5 is the correct answer.

The correct answer is shy .. outgoing. 

"Shy" means being reserved and "outgoing" means someone who is friendly and enjoys being around people.

In this sentence, it is important to pay attention to the signal word "but," which suggests that this is a contrast question. In other words, the correct pair of words will need to be contrasting ones. Ben seems to be one way, but around his peers (friends) he acts differently. The pair of words, "shy" and "outgoing" complete the sentence as they are antonyms or contrast words. 


awkward .. clumsy and peculiar .. weird are incorrect because these pairs of words are synonyms (words with similar meaning) rather than antonyms.

attentive .. shallow is incorrect because these words are about unrelated personality traits, and thus are not antonyms.

traditional .. observant is incorrect because, the way they are commonly used, these words are about unrelated personality traits, and thus are not antonyms. When the words "traditional" and "observant" are used in a specifically religious context they can be synonyms, and thus are still incorrect because they are not antonyms.

The correct answer is d.

First, the square paper was folded in half widthwise and then it was folded in half again lengthwise. Then, three holes were cut out of the folded paper. Since the paper was folded in half twice, the holes were cut through four layers of paper.

Therefore, when the paper is unfolded it will have twelve holes: 3 x 4 = 12.

Answer choices a, c and e include fewer than 12 holes, so they can be eliminated.

Since the paper was folded in half widthwise and then again in half lengthwise, each quarter must mirror the quarters above or below it and the quarter to its left or right.

If you look closely at answer choice b, you can see that the quarters do not mirror each other in this way. The holes in the top half are positioned exactly the same as those in the bottom half instead of mirroring them.

We are left with answer choice d, which is the correct answer.

The correct answer is 15. 

In this series, the pattern is as follows: first 15 is added, then 12 is subtracted, then 9 is added, then 6 is subtracted, and so on. 

The pattern is: +15,-12,+9,-6,... 

Each time the operation alternates between addition and subtraction, and the amount we decrease or increase grows smaller by 3 . The last two numbers in this series are 18 and 12, so the next number should be bigger than 12 by 3. 

12+3 = 15.