2006 - WAEC Mathematics Past Questions and Answers - page 5
41
In the diagram, PQR is a straight line, QRST is a parallelogram, < TPQ = 72o and < RST = 126o. What type of triangle is \(\bigtriangleup\) PQT?
A
An equilateral triangle
B
A right-angled triangle
C
An isosceles triangle
D
A scalene triangle
correct option: c
Users' Answers & Comments42
How many pupils took the test?
A
36
B
38
C
39
D
40
43
If the pass mark was 4. What percentage of the pupils failed the test?
A
20.0%
B
37%
C
62.5%
D
80.0%
correct option: a
No. of pupils that failed = 1 + 3 + 4 + 8
% failed = \(\frac{8}{40} \times 100\)% = 20.0%
Users' Answers & Comments% failed = \(\frac{8}{40} \times 100\)% = 20.0%
44
The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]
A
6.28cm
B
12.6cm
C
22.6cm
D
62.8cm
correct option: b
Length of arc = \(\frac{\theta}{360 \times 2 \pi r}\)
= \(\frac{72}{360} \times 2 \times \frac{22}{7} \times 10\)cm
= 12.57
= 12.6cm(3 s.f)
Users' Answers & Comments= \(\frac{72}{360} \times 2 \times \frac{22}{7} \times 10\)cm
= 12.57
= 12.6cm(3 s.f)
45
In the diagram what is x + y in terms of z?
A
180o - z
B
180o + z
C
z - 180o
D
z
correct option: a
x + y + z = 180(sum of angles in a \(\bigtriangleup\))
x + y = 180 - z
Users' Answers & Commentsx + y = 180 - z
46
In the diagram |XY| = 12cm, |XZ| = 9cm, |ZN| = 3cm and ZY||NM, calculate |MY|
A
3cm
B
4cm
C
5cm
D
6cm
correct option: b
\(\frac{|YM|}{|YX|} = \frac{|ZM|}{|ZX|}\)
\(\frac{|YM|}{12} = \frac{3}{9}\)
|YM| = 3 x \(\frac{12}{9}\)
|MY| = 4cm
Users' Answers & Comments\(\frac{|YM|}{12} = \frac{3}{9}\)
|YM| = 3 x \(\frac{12}{9}\)
|MY| = 4cm