WAEC Mathematics Past Questions & Answers

1,176.

A group of 11 people can speak either English or French or Both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?

$\frac{2}{11}$

$\frac{4}{11}$

$\frac{5}{11}$

$\frac{11}{13}$

View answer & explanation

Correct answer is A

Let the number of people that speak both English and French = x

Then (7 - x) + x + (6 - x) = 11

13 - x = 11 $\implies$ x = 2.

$\therefore$ P(picking a person that speaks both languages) = 2/11

1,177.

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below

If he sends $2\frac{1}{2}$ hours week on science, find the total number of hours he studies in a week

$3\frac{1}{3}$ hours

5 hours

8 hours

12 hours

View answer & explanation

Correct answer is D

Let x represent the total number of hours spent per week

$∴ \frac{75}{360} \times x = \frac{5}{2}$

$∴ x = \frac{360 \times 5}{725 \times 2}=12 hours$

1,178.

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below Find the value of K

15^o

30^o

60^o

90^o

View answer & explanation

Correct answer is B

Total angle in a circle = 360°

$\therefore$ 105 + 75 + 2k + k + 3k = 360°

6k = 360 - 180 = 180

k = 180/6 = 30°

1,179.

From a set $A = [3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}]$ , a number is selected at random. Find the probability that is a rational number

$\frac{1}{5}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{4}{5}$

View answer & explanation

Correct answer is B

$A = {3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}}$

n(A) = 5

Let the rational nos = R

n(R) = 2 (3, $\sqrt{9}$ )

P(R) = 2/5

1,180.

If $K\sqrt{28}+\sqrt{63}-\sqrt{7}=0$ , find K.

-2

-1

View answer & explanation

Correct answer is B

$K\sqrt{28}+\sqrt{63}-\sqrt{7}=0$

$2K\sqrt{7}+3\sqrt{7}-\sqrt{7}=0$

$2K\sqrt{7}=-2\sqrt{7}$

$K=\frac{-2\sqrt{7}}{2\sqrt{7}}$

$K=-1$

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