Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

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3,536.

In the diagram above, O is the centre of the circle through points L, M and N, if ∠MLN = 74^o and ∠MNL = 39^o, calculate ∠LON.

67^o

100^o

113^o

126^o

134^o

View answer & explanation

Correct answer is E

From the diagram, < LMN = 180° - (74° + 39°) (sum of angle in a triangle)

= 67°

< LON = 2 x 67° (angle subtended at the centre is twice the angle at the circumference)

= 134°

3,537.

A cone is made from a sector of circle of radius 14cm and angle of 90^o. What is the area of the curved surface of the cone? (Take x = 22/7)

22cm²

38.5cm²

77cm²

154cm²

308cm²

View answer & explanation

Correct answer is D

Length of arc =

θ/360

* 2πr

=> r =

90/360

14/4

= 3.5

slant height t = 14cm
curved surface area of cone = πrl
=> 3.142 x 3.5 x 14 = 153.95

3,538.

Which of the regions P, Q, R, S and T satisfies the following 0 < y < 1, y < x + 2, x < 0

View answer & explanation

Correct answer is E

No explanation has been provided for this answer.

3,539.

Abidjan is 4^o west of Accra and on the same circle of latitude. If the radius of this circle of latitude is 6370km, how far is Abidjan west of Accra, correct to the nearest kilometer? [Take π = 22/7]

222km

445km

890km

5005km

10010km

View answer & explanation

Correct answer is B

θ/360

* 2πr = Rcos4^o

4/360

40041/1

= 445km

3,540.

Factorize 5y² + 2y - 3a²

(5y - a) (y + 3a)

(5y + a) (y - 3a)

5y² + a (2y - 3a)

(y - a) (5y + 3a)

(y + a) (5y - 3a)

View answer & explanation

Correct answer is E

5y ² + 5ay - 3ay - 3a ²
5y(y + a) - 3a(y + a)
(y + a) (5y - 3a)

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