NCAE Mathematical Ability 3

Question 1

Convert 3/5 to a percentage.

Accepted Answer

60%

Answer

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100: (3 ÷ 5) × 100 = 0.6 × 100 = 60%.

Question 2

Maria has PHP 1,500. She spends 1/3 on food and 1/5 on transportation. How much money does she have left?

Accepted Answer

PHP 700

Answer

Food: 1/3 × 1500 = PHP 500. Transportation: 1/5 × 1500 = PHP 300. Total spent: 500 + 300 = PHP 800. Remaining: 1500 - 800 = PHP 700.

Question 3

What is the least common multiple (LCM) of 6 and 8?

Accepted Answer

24

Answer

The multiples of 6 are 6, 12, 18, 24, 30... The multiples of 8 are 8, 16, 24, 32... The smallest common multiple is 24.

Question 4

Solve for x: 3x - 5 = 16

Accepted Answer

x = 7

Answer

Add 5 to both sides: 3x = 21. Divide both sides by 3: x = 7. Check: 3(7) - 5 = 21 - 5 = 16.

Question 5

A cylindrical water tank has a radius of 3 meters and a height of 5 meters. What is its volume? (Use π ≈ 3.14)

Accepted Answer

141.3 cubic meters

Answer

Volume of a cylinder = πr²h = 3.14 × 3² × 5 = 3.14 × 9 × 5 = 141.3 cubic meters.

(NCAE) National Career Assessment Examination Practice Test