Тестовые задания на экзамене CAT4

The correct answer is A. In this question the three figures are all circles. The only answer choice that is a circle is A. The rest of the answers are all shapes that are different than the shapes in the question. Therefore, A is the correct answer.

Which picture from the answer choices belongs with the others?

1.  Image A
2. Image B
3. Image C
4.  None of the above

 
The correct answer is Image C.

Look at the top row. All the items in the top row can cut. The correct answer should be a similar item. The hammer and the wrench cannot be used for cutting, so they are not correct answers. We are left with the bread knife as the best possible answer. Therefore, it is the correct choice.

Which of the bottom shapes completes the top pattern?

1.  Image A
2. Image B
3. Image C
4. None of the above

The correct answer is Image A.

In this question all three figures include an inner and outer shape that look the same, while the outer shape is blue and the inner shape is white. In answer choice B the outer and inner shapes are different from each other, so it can be eliminated.

In answer choice C the outer shape is white and the inner shape is blue, so we can eliminate it as well.

The only answer choice that follows the rules is the 1st choice. Therefore, the 1st choice is the correct answer.

The paper is being folded and punched with holes. Choose the answer choice that depicts the paper after it is unfolded.

1.  Image A
2. Image B
3. Image C
4. Image D

Answer & Explanation ▼ | ▲

The correct answer is Image B.

First, the paper is folded in half to make a triangle. Then, a heart is cut out of the folded paper. Consequently, there will be two heart cut-outs when the paper is unfolded again. This eliminates answer choices C and D. Also, the second heart must be rotated 90° clockwise and flipped vertically since the paper was folded along the diagonal. This further eliminates answer choice A.

We are left with answer choice B as the correct answer.

Sample Question: Level 9, Grade 3
The first pair of words are related in a certain way. Choose the word that completes a second pair of words so that they are related in the same way.
Peach → fruit : lily →

1.  flower
2. seed
3. tree
4. iris

 
Answer & Explanation ▼ | ▲

The correct answer is: flower.
A peach is a type of fruit like a lily is a type of flower.

Sample Question: Level 10, Grade 4

The pictures in the boxes on the top belong together in a certain way. Choose the picture that belongs with the bottom picture in the same way the pictures on top belong together.

1. Image A
2. Image B
3. Image C
4. Image D

Answer & Explanation ▼ | ▲

The correct answer is Image D.

In the top row, from left to right, the figure rotates and the arrow and circle swap colors.
In the bottom row we should have the same relationship. In the left frame the arrow is behind the circle. We can eliminate Image C because it has the arrow in front of the circle. We can eliminate Image A because the arrow did not rotate, and Image B because the shapes did not swap colors.

The correct answer is (A), the candle.

The images on the top row, that is the lightbulb and the lamp, are an example of how two things go together in a certain way. An explanation for this could be that in order to illuminate a room, a lamp uses a lightbulb.

Similarly, in order for a candle to illuminate a room, you need fire, or more specifically, a flame. Notice that the order of the images is important. In every row, the image to the right needs the image to the left. The lamp needs the lightbulb, much like the candle needs the flame.

Even though the kettle needs a flame to function, the function it serves is not the same. The lamp is used to illuminate while the kettle is used to boil water. Finally, the light switch and the flashlight both help illuminate a room, but none of them needs fire to function (the flashlight, for example, needs batteries tofunction). Therefore, these answers cannot be correct.

The two pictures on the top go together in a certain way. Choose the picture that goes with the bottom picture in the same way the pictures on top go together. 

The correct answer is 4. Photographs are taken with cameras as pies are baked in ovens.

The following question is an example of number analogies questions that students are required to tackle in the CogAT Screening Form.
 

Answer and Explanation:

The correct answer is the 2nd choice.

Look at the top row, in the left frame we have 5 plastic balls and in the right frame we have 2 balls. (2 is less than 5 by 3 [5 – 3 = 2]).

In the bottom row we should have the same relationship. Since in the left frame we have 5 flowers, in the right frame we should have 2 flowers (which is 3 fewer flowers [5 – 3 = 2]).

Therefore, the answer choice with 2 flowers is the correct answer.

On our practice tests and on the actual test, the student listens to an audio recording with instructions similar to the following:

The two pictures on the top go together in a certain way. Choose the picture that goes with the bottom picture in the same way the pictures on top go together.
 

Answer and Explanation:

The correct answer is 2.

Look at the top row. The figure on the right is a mirror image of the figure on the left. The figures in the bottom row will follow the same pattern. The answer choice will be the mirror image of the figure on the left.

[1] Laura's dad prepared a picnic basket for her and her sisters, with five food items. Mark the basket he prepared.

[2] The pictures in the boxes on the top belong together in a certain way. What picture belongs with the bottom picture in the same way that the pictures on top belong together?

[3] The pictures in the boxes on the top belong together in a certain way. Choose the picturethat belongs with the bottom picture in the same way the pictures on top belong together 

Answer & Explanation
The correct answer is A.

Each of the three figures in this question includes:
• Two curly brackets,
• A circle,
• A triangle,
• A hexagon, and –
• A pentagon
This eliminates answer choice C, as it contains only one curly bracket.
Answer choice D can also be eliminated since it contains square brackets and not curly ones.
Answer choice B can be eliminated because it contains two triangles and two circles.
Answer choice E can be eliminated because it contains two squares.
We are left with answer choice A, which is the correct answer.

Verbal Reasoning Battery
The following question is a Verbal Classification question. Verbal classification questions introduce three words that share a certain connection. You must choose the word from the answer choices that share the same connection.
Read     Calculate     Swim
A. See
B. Bike
C. Abilities
D. Feel
E. Dream
Answer & Explanation:
The correct answer is Bike. 
Read, Calculate, and Swim are all learned abilities. Bike is also an ability that needs to be learned in order for one to have it.

Quantitative Reasoning Battery
The question below is a Number Series question. Number Series questions provide a series of numbers with a certain rule. You must choose from the answer choices a number that can replace the question mark and follow the same rule, completing the series.
7        1        6        2        5        3        ?
A. 5
B. 4
C. 3
D. 2
E. 1
 
Answer & Explanation:
The correct answer is 4. n this series, the pattern is as follows: first 6 is subtracted, then 5 is added, then 4 is subtracted, then 3 is added, and so on.
The pattern is: -6, +5, -4, +3, ...
The last two numbers in this series are 5 and 3. 3 is smaller than 5 by 2, so the next number in the series should be bigger than 3 by 1.
3 + 1 = 4.
Alternatively, we can look at the pattern as the combination of two separate patterns that alternate. One pattern (the odd terms) is a series of numbers that decrease by 1, and the other pattern (the even terms) is a series that increases by 1.
The pattern is: 7, 1, 6, 2, 5, 3, …
We are missing the seventh number, which is an odd term, and therefore it should be smaller than the last odd term (the fifth number) by 1. The fifth number is 5, so: 5 – 1 = 4.
Therefore, 4 is the correct answer
The question below is a Number Analogy question. Choose the number that completes the third pair so that it demonstrates the same relationship as the first two pairs.

[12 → 2]       [84 → 14]      [66 → ?]
          A. 22
          B. 11
          C. 18
          D. 15
          E. 26
Answer & Explanation:
The correct answer is 11.

Look at the numbers in the first pair and try to find the rule they follow.
How do we get from 12 to 2?
We see that if we divide the first number by 6, we get the second number:
12 ÷ 6 = 2.

Does this rule work for the second pair, as well?
When we divide 84 by 6, we get 14:
84 ÷ 6 = 14.

The rule "divide the first number by 6 to get the second" works in both pairs, so in the next pair we should also divide by 6:
66 ÷ 6 = 11.
Therefore, 11 is the correct answer.
Non-Verbal Reasoning Battery
The following question is a Figure Matrix question. Figure Matrices questions present either 2x2 or 3x3 matrices picture. The rows and columns of the picture follow a certain rule. You must choose the figure from the answer choice that follows the same rule and goes in the empty box in the matrix.
 

Answer & Explanation:

The correct answer is A.

The outer shape in each row remains the same, however, it rotates 90-degrees clockwise. Therefore, the shape that will appear in the missing box will be a pentagon, and it will be pointing upwards (to match the rotation pattern). In addition, in each row and column, the shapes are filled with a different number of black dots. The top two rows have shapes with one, two, and three dots. As the third row includes only shapes with two and three dots, the missing box must have a shape with one dot.

The only answer that follows those conditions is A.

Answers B and C contain the correct shape with the correct number of dots on the inside (one). However, the pentagons they contain are not a 90-degree clockwise rotation of the box to the left, and therefore they are incorrect.

Answers D and E have three and two dots inside, respectively. Since the column and row already contain shapes with three and two dots, these answer choices are incorrect and can also be ruled out.

The following question is a Figure Classification question. In these questions, you are shown three pictures that share a connection or a characteristic. From the answer choices, choose the answer which shares the same connection/characteristic.

Answer & Explanation:

The correct answer is C.

All three figures in this question are divided into two equalhalves. In addition, the separating line is adiagonalline slanted up to theleft.

The third figure is divided into two equal halves, and the separating line is a diagonal line which slants up to the left. Thus, this is the correct answer.

The first answer choice is incorrect as the separating line slants up to the right.
The second answer choice is incorrect as the separating line is horizontal when it should be diagonal.
The fourth answer choice is incorrect as the separating line slants up to the right.
The fifth answer choice is incorrect as the figure is not divided into two equal halves.
Full CAT4 Level E Practice Tests

Spatial Ability Reasoning Battery
The following question is a Figure Analysis question. Figure Analysis questions show 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.
 

Answer & Explanation:

The correct answer is C.

• The top and bottom edges of the papers are folded inward towards the centre of the square.
• Then, three holes are punched in.
• The holes go through two layers of paper; therefore, the answer should include six holes: 3 holes x 2 layers = 6 holes

As folding of the paper creates a symmetry line, punching-in holes in a folded paper make a mirror image along that same symmetry line (after unfolding). This question has two symmetry lines and, as they are horizontal, the holes also would be mirrored horizontally.

The top two holes would have a pair of two holes above them, as the appropriate symmetry line is above them. The lower hole has a symmetry line underneath it, and therefore it would have a mirrored hole below it.

The only answer which follows this rule is C, which is the correct answer.
Answers A and B are incorrect, as there are holes above the bottom hole, instead of below it.
Answer D is incorrect, as the hole in the bottom is diagonal, rather than directly below the original hole.
Answer E is incorrect as it is missing two holes in its top part.

TestPrep-Online Developer's Tip:

A good way to start solving Paper Folding questions is to immediately eliminate answer choices that do not contain the original punched holes shown in the question.
Next, by estimating the number of holes that the unfolded paper should have, based on the folds and number of punched holes, you can eliminate the answer choices that contain more or less than the required number of holes the paper should include.

For example, if the paper was folded once into two layers, each hole will go through both layers so there should be twice the number of holes.
If you get too confused by a question of this sort, you can always draw the problem on a square sheet of paper, easing the visualization of the question.

The following is a Figure Recognition question, in these questions you are shown a shape alongside five answer choices containing complex designs. You must choose the design which contains the target shape in the exact same size, including each side in full.

Answer & Explanation:

The correct answer is (B).

The strong features of the given shape are an isosceles triangle pointing right (without its base) and a pair of parallel horizonal lines intersected with a perpendicular vertical line:
 

Answer (B) uses symmetry to hide the given shape. The rectangle which appears in the picture has two parallel horizontal lines as necessary, and the rotated square instead has a vertex pointing to the right. Once you notice this, you can follow the lines to form the given shape. Therefore, this is the correct answer. Notice that the left side of the rectangle is the perpendicular vertical line.

Answer (A) includes a shape similar to the given shape, however, the triangle shown in the picture has different angles than those of the given shape, making answer (A) incorrect.
 

Answer (C) has a pair of parallel horizontal lines which intersect with a vertical line. However, the left side is not connected to an isosceles triangle pointing to the right, as needed. It does not contain the given shape and therefore it is incorrect.

Answer (D) includes only one isosceles triangle and it is too big to form the given shape. Moreover, the upper part of the triangle is not connected with a horizontal line, as needed, making answer (D) incorrect.

Answer (E) has no vertical lines at all, so it cannot form the given shape. Therefore, it is also incorrect.
 

AT4 Level E Test Practice Question-Quantitative Reasoning #1 

[12 → 2]    [84 → 14]    [66 → ?]
 22
 11
 18
 15
 26
 
Answer & Explanation ▼ | ▲

The correct answer is 11. Look at the numbers in the first pair and try to find the rule they follow. How do we get from 12 to 2? We see that if we divide the first number by 6, we get the second number: 12 ÷ 6 = 2. Does this rule work for the second pair, as well? When we divide 84 by 6, we get 14: 84 ÷ 6 = 14. The rule "divide the first number by 6 to get the second" works in both pairs, so in the next pair we should also divide by 6: 66 ÷ 6 = 11. Therefore, 11 is the correct answer.

nibble → bite : sip →
 gulp
 eat
 thirst
 juice
 chew
 
Answer & Explanation ▼ | ▲

The correct answer is: gulp. A nibble is a small bite like a sip is a small gulp.

The correct answer is C.

In this question, the three figures above all contain two inner lines that intersect inside the shape. Notice that the inner lines divide each figure into four parts (not necessarily equal).

The third answer choice is a pentagon which contains two inner lines that intersect inside it. In addition, these lines divide the pentagon into four parts. Therefore, this is the correct answer.

The first and the second answer choices are incorrect as the two inner lines in these figures do not intersect.
The fourth answer choice is incorrect as this figure contains three inner lines instead of two.
The fifth answer choice is incorrect as although this figure is divided into four parts, it contains three inner lines instead of two.
#Note that additional practice questions for the Non-Verbal Reasoning battery (Figure analogies + Figure classification) can be found on our CAT4 Level E practice packs.

The lower hole has a symmetry line underneath it, and therefore it would have a mirrored hole below it:

The only answer which follows this rule is answer (C), which is the correct answer.

Answer (A) and (B) are incorrect, as there are a holes above the bottom hole, instead of below it.

Answer (D) is incorrect, as the hole in the bottom is diagonal, rather than directly below the original hole.

Answer (E) is incorrect as its missing two holes in its top part.
#Note that additional practice questions for the Spatial Ability battery (Paper folding + Figure recognition) can be found on our CAT4 Level E practice packs.