CogAT Practice Test 6th Grade

Question 1

Obsolete is to Modern as Dilapidated is to:

Accepted Answer

Renovated

Answer

"Obsolete" is the opposite of "modern," just as "dilapidated" (in poor condition) is the opposite of "renovated" (restored to good condition). The relationship is based on opposites.

Question 2

What is the missing number in the sequence?

2, 5, 10, 17, ?

Accepted Answer

27

Answer

The pattern increases by consecutive odd numbers:

2 + 3 = 5, 5 + 5 = 10, 10 + 7 = 17, 17 + 9 = 27.

Question 3

Which figure does not belong in this group?

Accepted Answer

Circle

Answer

The equilateral triangle, square, and pentagon are polygons with straight sides, whereas the circle has no sides or vertices, making it the outlier.

Question 4

If 𝑥 + 𝑦 = 12 and x − y = 4, what is x × y?

Accepted Answer

24

Answer

Solve the system of equations: x + y = 12, x − y = 4.

Adding the equations:

2x = 16, so x = 8.

Subtracting: 2y = 8, so y = 4.

Thus, x × y = 8 × 4 = 24.

Question 5

A clock shows the time as 3:15. What is the angle between the hour and minute hands?

Accepted Answer

67.5°

Answer

The minute hand at 15 minutes points to the 3, and the hour hand moves 1/4 of the way between the 3 and 4.
Each hour division is 30°, so 1/4 × 30° = 7.5°

The total angle is 90° − 7.5° = 67.5°