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WAEC Mathematics Past Questions & Answers - Page 166

826.

$\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}$ . The table above satisfies the relation y = k $\sqrt{x}$ , where k is a positive constant. Find the value of K.

0.5

1.5

View answer & explanation

Correct answer is A

y = k $\sqrt{x}$ when y = 1, x = 4

k = $\frac{y}{\sqrt{x}}$

= $\frac{1}{\sqrt{4}}$

= $\frac{1}{2}$

= 0.5

827.

The ratio of boys to girls in a class is 5:3. Find the probability of selecting at random, a girl from the class

$\frac{1}{8}$

$\frac{1}{3}$

$\frac{3}{8}$

$\frac{3}{5}$

View answer & explanation

Correct answer is C

ratio of boys to girls = 5:3

total = 5 + 3 = 8

Pr(girl) = $\frac{3}{8}$

828.

If tan y = 0.404, where y is acute, find cos 2y

0.035

0.719

0.808

0.927

View answer & explanation

Correct answer is B

tan y = 0.404; y = tan-1 0.0404(tables);y = 22o

cos 2y = cos 2(22o); cos 44o

= 0.719

829.

A baker used 40% of a 50kg bag of flour. If $\frac{1}{8}$ of the amount used was for the cake, how many kilogram of flour was used for the cake?

2 $\frac{1}{2}$

6 $\frac{1}{2}$

15 $\frac{3}{8}$

17 $\frac{1}{2}$

View answer & explanation

Correct answer is A

$\frac{40}{100} \times 50$ kg = 20kg

$\frac{1}{8}$ of 20kg for cake; $\frac{1}{8}$ x $\frac{20}{1}$

= 2 $\frac{1}{2}$ kg

830.

If 30% of y is equal to x, what in terms of x, is 30% of 3y?

$\frac{x}{9}$

$\frac{x}{3}$

View answer & explanation

Correct answer is D

If 30% of y = x, then 30% of 3y = 3x

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