CogAT Practice Test 7th Grade 1 ā Questions and Answers
Question 1: Beacon is to Lighthouse as Compass is to:
- Map
- Direction
- Navigation (Correct answer)
- GPS
Correct answer: Navigation
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?<br> <br> 3, 8, 18, 38, ?
- 58
- 68
- 78 (Correct answer)
- 98
Correct answer: 78
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?
- White triangle
- White hexagon
- White pentagon (Correct answer)
- Black circle
Correct answer: White pentagon
The pattern involves keeping the shape the same while changing the color from black to white.
Question 4: If 2^š„ + 2^(š„+1) = 48, what is the value of š„?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
Factorize 2š„ : 2^š„ (1+2) = 48 ā 2^š„ multiplied by 3 = 48 ā 2^š„ = 16. <br> <br> š„ = 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?
- 1/11
- 2/11
- 2/13
- 10/33 (Correct answer)
Correct answer: 10/33
The total number of marbles is 3+4+5=12. <br> The probability of the first green marble is 5/12 <br> The probability of the second green marble (after one green is drawn) is 4/11 <br> <br> Thus, the combined probability is: 5/12 * 4/11 = 20/132 = 10/33. <br>
CogAT Practice Test 7th Grade 1
Beacon is to Lighthouse as Compass is to: