ISEE Quantitative Reasoning 3 — Questions and Answers
Question 1: A train travels 180 miles in 3 hours. At the same rate, how far will it travel in 5 hours?
- 240 miles
- 300 miles (Correct answer)
- 360 miles
- 270 miles
Correct answer: 300 miles
The speed is 60 mph, so in 5 hours it travels 60 × 5 = 300 miles.
Question 2: What is 15% of 240?
- 24
- 30
- 36 (Correct answer)
- 48
Correct answer: 36
15% of 240 is 0.15 × 240 = 36.
Question 3: If x : y = 4 : 5 and y = 20, what is x?
- 12
- 16 (Correct answer)
- 25
- 18
Correct answer: 16
Since y = 20 is 4 times 5, x = 4 × 4 = 16.
Question 4: Which of the following is a prime number?
- 21
- 27
- 29 (Correct answer)
- 33
Correct answer: 29
29 has no divisors other than 1 and itself, while the others are composite.
Question 5: A rectangle has length 12 and width 7. What is its area?
- 19
- 38
- 84 (Correct answer)
- 76
Correct answer: 84
The area is length times width, 12 × 7 = 84.
Question 6: What is the value of the expression (8 + 4) ÷ 3 × 2?
- 6
- 8 (Correct answer)
- 2
- 12
Correct answer: 8
Inside parentheses gives 12, then 12 ÷ 3 = 4, and 4 × 2 = 8.
Question 7: If 5 pencils cost $2.00, how much do 8 pencils cost at the same price?
- $2.80
- $3.00
- $3.20 (Correct answer)
- $4.00
Correct answer: $3.20
Each pencil costs $0.40, so 8 pencils cost 8 × $0.40 = $3.20.
A train travels 180 miles in 3 hours.
At the same rate, how far will it travel in 5 hours?