NFST Mathematical Reasoning 3

Question 1

If 5x − 3 = 2x + 12, what is the value of x?

Accepted Answer

5

Answer

5x − 2x = 12 + 3 → 3x = 15 → x = 5.

Question 2

A rectangle has a perimeter of 54 cm and a length of 18 cm. What is its width?

Accepted Answer

9 cm

Answer

Perimeter = 2(l + w): 54 = 2(18 + w) → w = 9 cm.

Question 3

The ratio of boys to girls in a class is 3:4. If there are 28 students, how many are boys?

Accepted Answer

12

Answer

Boys = (3/7) × 28 = 12.

Question 4

What is the slope of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 − 5)/(6 − 2) = 8/4 = 2.

Question 5

A circle has a radius of 7 cm. What is its area? (Use π ≈ 3.14)

Accepted Answer

153.86 cm²

Answer

Area = π r² = 3.14 × 49 ≈ 153.86 cm².

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