AFCT Mathematics Knowledge 3

Question 1

What is the value of 2³ × 2⁴?

Accepted Answer

2⁷

Answer

When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.

Question 2

Which of the following is a prime number?

Accepted Answer

59

Answer

59 is prime; 51 = 3 × 17, 57 = 3 × 19, and 63 = 7 × 9.

Question 3

What is 25% of 80?

Accepted Answer

20

Answer

25% of 80 = 0.25 × 80 = 20.

Question 4

If the ratio of a to b is 3:5 and a = 12, what is the value of b?

Accepted Answer

20

Answer

Setting up the proportion 3/5 = 12/b and cross-multiplying gives b = 12 × 5/3 = 20.

Question 5

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

Accepted Answer

24

Answer

The LCM of 6 and 8 is 24, the smallest positive integer divisible by both 6 and 8.

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