ISEE Quantitative Reasoning 1 — Questions and Answers
Question 1: If 3x - 7 = 14, what is the value of x?
- 7 (Correct answer)
- 3
- 21
- 5
Correct answer: 7
Add 7 to both sides: 3x = 21. Divide both sides by 3: x = 7. Verify: 3(7) - 7 = 21 - 7 = 14.
Question 2: A store offers a 20% discount on a $45 item. What is the sale price?
- $36 (Correct answer)
- $25
- $40
- $9
Correct answer: $36
20% of $45 = 0.20 × $45 = $9 discount. Sale price = $45 - $9 = $36.
Question 3: What is the next number in the pattern: 2, 6, 18, 54, ___?
- 162 (Correct answer)
- 108
- 72
- 216
Correct answer: 162
Each number is multiplied by 3: 2×3=6, 6×3=18, 18×3=54, 54×3=162. This is a geometric sequence with a common ratio of 3.
Question 4: If the perimeter of a square is 48 cm, what is its area?
- 144 sq cm (Correct answer)
- 192 sq cm
- 96 sq cm
- 48 sq cm
Correct answer: 144 sq cm
Perimeter = 4 × side, so side = 48 ÷ 4 = 12 cm. Area = side² = 12² = 144 square centimeters.
Question 5: Which fraction is equivalent to 0.375?
- 3/8 (Correct answer)
- 3/4
- 5/8
- 1/3
Correct answer: 3/8
0.375 = 375/1000. Simplify by dividing both by 125: 375÷125 = 3, 1000÷125 = 8. So 0.375 = 3/8.
Question 6: A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of randomly selecting a blue marble?
- 1/4 (Correct answer)
- 1/3
- 3/5
- 1/2
Correct answer: 1/4
Total marbles = 4 + 3 + 5 = 12. Probability of blue = 3/12 = 1/4.
ISEE Quantitative Reasoning 1
If 3x - 7 = 14, what is the value of x?