CogAT Practice Test 6th Grade 1 — Questions and Answers

Question 1: Obsolete is to Modern as Dilapidated is to:

Renovated (Correct answer)
Destroyed
Old
Abandoned

Correct answer: Renovated

"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, ?

26
27 (Correct answer)
28
30

Correct answer: 27

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?

Equilateral Triangle
Square
Circle (Correct answer)
Pentagon

Correct answer: Circle

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?

24 (Correct answer)
28
32
35

Correct answer: 24

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?

52.5°
67.5° (Correct answer)
72°
75°

Correct answer: 67.5°

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°

CogAT Practice Test 6th Grade 1

Obsolete is to Modern as Dilapidated is to:

Select your answer