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JAMB Mathematics Past Questions & Answers - Page 116

576.

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

$\sqrt{630}$ cm

$\sqrt{626}$ cm

$\sqrt{615}$ cm

$\sqrt{600}$ cm

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

577.

The mean and the range of the set of numbers 1, 20, 1.00, 0.90, 1.40, 0.80, 1.20 and 1.10 are me and r

1.11

1.65

1.85

2.45

View answer & explanation

Correct answer is B

m = 1.05, r = 0.6 m + r = 1.05 + 0.5 = 1.65

578.

In the diagram, find PQ if the area of triangle PQR is 35cm $^2$

7cm

10cm

14cm

17cm

View answer & explanation

Correct answer is A

PQ x 10 sin 30 = 35

PQ = $\frac{35}{10 \sin 30}$

= 7cm

579.

In the diagram, the base diameter is 14cm while the height is 12cm. Calculate the total surface area if the cylinder has both a base and a top.[ $\pi \frac{22}{7}$ ]

836cm²

308cm²

528cm²

154cm²

View answer & explanation

Correct answer is A

Area(S) = 2 $\pi r^2 + 2 \pi rh = 2\pi r(h + r)$

D = 14cm, 2r = D

r = $\frac{D}{2}$

= 7cm

S = 2 x $\frac{22}{7} \times [7 + 12] = 44 \times 19$

= 836cm²

580.

PT is a tangent to the circle TYZX. YT = YX and < PTX = 50^o. Calculate < TZY

50^o

65^o

85^o

130^o

View answer & explanation

Correct answer is B

XTY = 50^o = TXY = $\frac{130^o}{2}$

= 65^o

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