1997 - JAMB Mathematics Past Questions and Answers - page 5

41
The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY
A
\(\sqrt{630}\)cm
B
\(\sqrt{626}\)cm
C
\(\sqrt{615}\)cm
D
\(\sqrt{600}\)cm
correct option: b
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42
Find the volume of the prism
A
990cm3
B
880cm3
C
550cm3
D
495cm3
correct option: d
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43
In the figure, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle < YZE = 150o. If the angle XYZ = \(\theta\), calculate the value of sin\(\theta\)
A
\(\frac{3}{5}\)
B
\(\frac{1}{2}\)
C
\(\frac{2}{5}\)
D
\(\frac{1}{5}\)
correct option: d
\(\frac{5}{\sin 36^o} = \frac{2}{\sin \theta} = \frac{5}{\frac{1}{2}} = \frac{2}{\sin \theta}\)

10 = \(\frac{2}{\sin \theta}\)

sin\(\theta\) = \(\frac{2}{10}\)

= \(\frac{1}{5}\)
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44
The pie chart shows the income of a civil servant in a month. If his monthly income is N600, find his monthly basic salary
A
N2000
B
N2600
C
N3100
D
N3450
correct option: a
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45
In an examination, the result of a certain school is as shown in the histogram above. How many candidates did the school present?
A
12
B
16
C
18
D
19
correct option: d
3 + 5 + 8 + 1 + 2 = 19
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