WAEC Mathematics Past Questions & Answers - Page 209

1,041.

Points X, Y and Z are located in the same horizontal plane such that Y is 12 km north of X and Z is on a bearing of 270° from X. If |XZ| = 6km, calculate, correct to one decimal place, lYZl

A.

18km

B.

13.4km

C.

13km

D.

10.4km

Correct answer is B

ZY\(^2\) = 12\(^2\) + 6\(^2\)

ZY\(^2\) = 144 + 36 = 180

ZY = \(\sqrt{180}\)

= \(13.416\)

= 13.4 km

 

1,042.

If log 2 = 0.3010 and log 2\(^y\) = 1.8062, find; correct to the nearest whole number, the value of y.

A.

6

B.

5

C.

4

D.

-5

Correct answer is A

\(log2 = 0.3010\hspace{1mm}given\\
log2^y = 1.8062\\
∴ ylog2 = 1.8062\\
y=\frac{1.8062}{logy}=\frac{1.8062}{0.3010}=6\)

1,043.

The length, in cm, of the sides of a right angled triangle are x, (x+2) and (x+1) where x > 0. Find , in cm, the length of its hypotenuse

A.

4

B.

5

C.

13

D.

17

Correct answer is B

\((x + 2)^{2} = x^{2} + (x + 1)^{2}\)

\(x^2 + 4x + 4 = x^2 + x^2 + 2x + 1\)

\(2x^{2} - x^{2} + 2x - 4x + 1 - 4 = 0\)

\(x^{2} - 2x - 3 = 0\)

\(x^{2} - 3x + x - 3 = 0 \implies x(x - 3) + 1(x - 3) = 0\)

\((x - 3)(x + 1) = 0 \implies \text{x = 3 or -1}\)

\(x > 0 \implies x = 3\)

The longest side = 3 + 2 = 5.

1,044.

The diagram is the graph of \(y = 6 + x - x^2\). The graph intercepts the x- axis at P and R and the y- axis at Q.

When \(y = 3\frac{1}{3}\), what is the positive value of x?

A.

\( 2\frac{1}{2}\)

B.

\( 2\frac{1}{5}\)

C.

\( 1\frac{1}{5}\)

D.

0

Correct answer is B

No explanation has been provided for this answer.

1,045.

What is the length of \(\bar{RP}\)?

A.

6

B.

5

C.

3

D.

2

Correct answer is B

\(\bar{RP} = 3 - (-2)\)

= 5