Selective Test Mathematical Reasoning 3

Question 1

What is the area of a circle with radius 7 cm? (Use π ≈ 3.14)

Accepted Answer

153.86 cm²

Answer

Area = π × r² = 3.14 × 49 = 153.86 cm².

Question 2

A triangle has angles measuring 45° and 65°. What is the measure of the third angle?

Accepted Answer

70°

Answer

The sum of angles in a triangle is 180°; 180° − 45° − 65° = 70°.

Question 3

The mean of five numbers is 14. Four of the numbers are 10, 12, 16, and 18. What is the fifth number?

Accepted Answer

14

Answer

Total sum = 5 × 14 = 70; fifth number = 70 − 10 − 12 − 16 − 18 = 14.

Question 4

A square has a diagonal of 10 cm. What is its area?

Accepted Answer

50 cm²

Answer

Using d = s√2, s = 10/√2; area = s² = 100/2 = 50 cm².

Question 5

The following test scores were recorded: 72, 85, 90, 68, 85, 78, 85, 92. What is the mode?

Accepted Answer

85

Answer

The mode is the value that appears most often; 85 appears three times.

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