ISEE Quantitative Reasoning 2 — Questions and Answers
Question 1: If 3x + 7 = 22, what is the value of x?
- 3
- 5 (Correct answer)
- 7
- 15
Correct answer: 5
Subtract 7 to get 3x = 15, then divide by 3 to get x = 5.
Question 2: A recipe uses 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed for 12 cups of sugar?
- 6
- 8 (Correct answer)
- 9
- 18
Correct answer: 8
Since 12 is 4 times 3, multiply the flour by 4 to get 2 × 4 = 8 cups.
Question 3: What is the median of the set {4, 9, 2, 7, 5}?
- 4
- 5 (Correct answer)
- 7
- 9
Correct answer: 5
Ordering the set gives 2, 4, 5, 7, 9, and the middle value is 5.
Question 4: Which fraction is greater than 1/2?
- 3/8
- 2/5
- 5/9 (Correct answer)
- 4/9
Correct answer: 5/9
5/9 is about 0.556, which exceeds 0.5, while the others are below it.
Question 5: A square has a perimeter of 36 cm. What is the area of the square?
- 81 cm² (Correct answer)
- 72 cm²
- 64 cm²
- 144 cm²
Correct answer: 81 cm²
Each side is 36 ÷ 4 = 9 cm, so the area is 9 × 9 = 81 cm².
Question 6: If a number is increased by 25% and the result is 50, what was the original number?
- 35
- 40 (Correct answer)
- 45
- 37.5
Correct answer: 40
The original times 1.25 equals 50, so the original is 50 ÷ 1.25 = 40.
Question 7: What is the value of 2³ + 3²?
- 13
- 17 (Correct answer)
- 15
- 12
Correct answer: 17
2³ = 8 and 3² = 9, so the sum is 8 + 9 = 17.
If 3x + 7 = 22, what is the value of x?