CogAT Practice Test 6th Grade
A clock shows the time as 3:15. What is the angle between the hour and minute hands?
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°
If 𝑥 + 𝑦 = 12 and x − y = 4, what is x × y?
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.
Obsolete is to Modern as Dilapidated is to:
"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.
Which figure does not belong in this group?
The equilateral triangle, square, and pentagon are polygons with straight sides, whereas the circle has no sides or vertices, making it the outlier.
What is the missing number in the sequence?
2, 5, 10, 17, ?
The pattern increases by consecutive odd numbers:
2 + 3 = 5, 5 + 5 = 10, 10 + 7 = 17, 17 + 9 = 27.