CogAT Practice Test 7th Grade
If 2^๐ฅ + 2^(๐ฅ+1) = 48, what is the value of ๐ฅ?
Correct!
Wrong!
Factorize 2๐ฅ : 2^๐ฅ (1+2) = 48 โ 2^๐ฅ multiplied by 3 = 48 โ 2^๐ฅ = 16.
๐ฅ = 4 because 2^4 = 16
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?
Correct!
Wrong!
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.
Beacon is to Lighthouse as Compass is to:
Correct!
Wrong!
A beacon helps guide sailors via a lighthouse, just as a compass aids in navigation. The relationship is based on purpose.
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?
Correct!
Wrong!
The pattern involves keeping the shape the same while changing the color from black to white.
What is the missing number in the pattern?
3, 8, 18, 38, ?
Correct!
Wrong!
The sequence follows the rule: +5, +10 , +20, +40. Adding 40 to 38 gives 78.