JAMB Mathematics Past Questions & Answers - Page 121

601.

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

A.

1.11

B.

1.65

C.

1.85

D.

2.45

Correct answer is B

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

602.

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

A.

7cm

B.

10cm

C.

14cm

D.

17cm

Correct answer is A

PQ x 10 sin 30 = 35

PQ = \(\frac{35}{10 \sin 30}\)

= 7cm

603.

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.[\(\pi \frac{22}{7}\)]

A.

836cm2

B.

308cm2

C.

528cm2

D.

154cm2

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

604.

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

A.

50o

B.

65o

C.

85o

D.

130o

Correct answer is B

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

= 65o

605.

Determine the value of x in the figure

A.

134o

B.

81o

C.

53o

D.

46o

Correct answer is A

Within the triangle,

180° - (81° + 53°) = 46°

In a cyclic quadrilateral, the sum of two opposite angles = 180°

\(\therefore\) x = 180° - 46° = 134°