1998 - WAEC Mathematics Past Questions and Answers - page 5

41
In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM = 63o, find ∠MNQ
A
58.5o
B
44o
C
35o
D
31.5o
correct option: e
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42
In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate correct to one decimal place, the length of arc PQ.
A
175.0cm
B
157.1cm
C
37.7cm
D
11.0cm
correct option: e
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43
In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ
A
3.403cm2
B
5.350cm2
C
10.99cm2
D
157.1cm2
correct option: b
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44

Calculate the perimeter of the trapezium PQRS

A
24cm
B
36cm
C
48cm
D
72cm
correct option: c
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45
The length of an arc of a circle of radius 5cm is 4cm. Find the area of the sector
A
\(1\frac{3}{5}cm^2\)
B
2cm2
C
8cm2
D
10cm2
correct option: d
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46
The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
If a hundred students travelled by bus, find the total number of students in the school
A
300
B
400
C
500
D
600
correct option: b
If X represent the total number of students
\(\frac{90}{360}\times X=100\)(students traveling by bus)
\(X=\frac{100\times 360}{90}=400\)
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47
The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
What percentage, to the nearest whole number, of tghe students travelled to school on foot?
A
24%
B
23%
C
20%
D
15%
correct option: a
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48
The diagram above is a rectangle. If the perimeter is 36m, find the area of the rectangle
A
\(64m^2\)
B
\(65m^2\)
C
\(84m^2\)
D
\(124m^2\)
correct option: b
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49
In \(\triangle PQR\). T is a point on QR such that \(\angle QPT = 39^o and \angle PTR = 83^o. Calculate \angle PQT\)
A
\(34^o\)
B
\(44^o\)
C
\(45^o\)
D
\(97^o\)
correct option: b
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50
Find the value of x in the diagram above
A
8.0cm
B
6.8cm
C
6.6cm
D
6.5cm
correct option: e
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