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WAEC Mathematics Past Questions & Answers - Page 97

481.

In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?

$\bigtriangleup$ ZYX = $\bigtriangleup$ OMN

$\bigtriangleup$ YZX = $\bigtriangleup$ NOM

$\bigtriangleup$ ZXY= $\bigtriangleup$ MON

$\bigtriangleup$ XYZ= $\bigtriangleup$ NOM

View answer & explanation

Correct answer is D

No explanation has been provided for this answer.

482.

in the diagram, the height of a flagpole |TF| and the length of its shadow |FL| re in the ratio 6:8. Using k as a constant of proportionality, find the shortest distance between T and L

7K units

10K units

12K units

14k units

View answer & explanation

Correct answer is B

by Pythagoras x² = 6² + 8²

36 + 64 = 100

x = $\sqrt{100}$

x = 10

483.

In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.

112cm

98cm

86cm

84cm

View answer & explanation

Correct answer is A

No explanation has been provided for this answer.

484.

An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the arc of the sector (Take $\pi = \frac{22}{7}$ )

8800cm²

8448cm²

4400cm²

4224cm²

View answer & explanation

Correct answer is A

L² = 96² + 28²

= 9216 + 784

= 10000

L = $\sqrt{10000}$

= 100cm

curved surface area = $\pi r l$

= $\frac{22}{7} \times 28 \times 100$

= 8800cm²

area of cone = area of sector

area of sector = 8800cm²

485.

Given that (x + 2)(x² - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M

(x + 2)²

x(x + 2)

xv + 2

x² - x

View answer & explanation

Correct answer is D

(x = 2)(x² - 3x + 2) + 2(x + 2)(x - 1) = (x + 2)m

(m + 2)[(x² - 3x + 2) + 2(x - 1)] = (x + 2)M

divide both side by (x + 2)

(x² - 3x + 2) + 2(x - 1) = M

x² - 3x + 2 + 2x - 2 = M

x² - 3x + 2 + 2x - 2 = M

x² - 3x + 2x = M

x² - x = M

M = x² - x