CAEC Mathematics without a Calculator 4

Question 1

What is 3/4 ÷ 3/8?

Accepted Answer

2

Answer

Multiply by the reciprocal: 3/4 × 8/3 = 24/12 = 2.

Question 2

What is 15% of 240?

Accepted Answer

36

Answer

10% of 240 is 24 and 5% is 12, so 15% is 24 + 12 = 36.

Question 3

Solve for x: 3(x − 4) = 2x + 5

Accepted Answer

17

Answer

Expanding gives 3x − 12 = 2x + 5, so x = 17.

Question 4

A rectangle has an area of 48 square metres and a length of 8 metres. What is its perimeter?

Accepted Answer

28 m

Answer

The width is 48 ÷ 8 = 6, so the perimeter is 2(8 + 6) = 28 m.

Question 5

What is the mean of the data set 4, 7, 9, 12, 13?

Accepted Answer

9

Answer

The sum is 45 and there are 5 values, so the mean is 45 ÷ 5 = 9.

(CAEC) Canadian Adult Education Credential Practice Test