CogAT Practice Test 7th Grade

Question 1

Beacon is to Lighthouse as Compass is to:

Accepted Answer

Navigation

Answer

A beacon helps guide sailors via a lighthouse, just as a compass aids in navigation. The relationship is based on purpose.

Question 2

What is the missing number in the pattern?

3, 8, 18, 38, ?

Accepted Answer

78

Answer

The sequence follows the rule: +5, +10 , +20, +40. Adding 40 to 38 gives 78.

Question 3

If a black square transforms into a white circle, and a black triangle transforms into a white square, what does a black pentagon transform into?

Accepted Answer

White pentagon

Answer

The pattern involves keeping the shape the same while changing the color from black to white.

Question 4

If 2^𝑥 + 2^(𝑥+1) = 48, what is the value of 𝑥?

Accepted Answer

4

Answer

Factorize 2𝑥 : 2^𝑥 (1+2) = 48 → 2^𝑥 multiplied by 3 = 48 → 2^𝑥 = 16.

𝑥 = 4 because 2^4 = 16

Question 5

A bag contains 3 red marbles, 4 blue marbles, and 5 green marbles. If two marbles are drawn at random, what is the probability that both are green?

Accepted Answer

10/33

Answer

The total number of marbles is 3+4+5=12.
The probability of the first green marble is 5/12
The probability of the second green marble (after one green is drawn) is 4/11

Thus, the combined probability is: 5/12 * 4/11 = 20/132 = 10/33.