CogAT Practice Test 7th Grade
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.
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.
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.
If 2^𝑥 + 2^(𝑥+1) = 48, what is the value of 𝑥?
Correct!
Wrong!
Factorize 2𝑥 : 2^𝑥 (1+2) = 48 → 2^𝑥 multiplied by 3 = 48 → 2^𝑥 = 16.
𝑥 = 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.