ISEE Quantitative Reasoning

Question 1

If 3x - 7 = 14, what is the value of x?

Accepted Answer

7

Answer

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?

Accepted Answer

$36

Answer

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, ___?

Accepted Answer

162

Answer

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?

Accepted Answer

144 sq cm

Answer

Perimeter = 4 × side, so side = 48 ÷ 4 = 12 cm. Area = side² = 12² = 144 square centimeters.

Question 5

Which fraction is equivalent to 0.375?

Accepted Answer

3/8

Answer

0.375 = 375/1000. Simplify by dividing both by 125: 375÷125 = 3, 1000÷125 = 8. So 0.375 = 3/8.

ISEE Practice Test