Mathematics questions and answers

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.

3,141.

The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium

A.

21cm2

B.

4Ocm2

C.

8Ocm2

D.

150cm2

E.

300cm2

Correct answer is B

No explanation has been provided for this answer.

3,142.

Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).

A.

6400πkm

B.

6400km/π

C.

3200πkm

D.

3200km

E.

3200km/π

Correct answer is C

P(67°W, 0°N)
Q(67°W 90°N), R = 6400km

Distance PQ =

90/360 x 2 x 6400 π

= 3200πkm

3,143.

In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ

A.

9cm

B.

12cm

C.

14cm

D.

19.85cm

E.

23cm

Correct answer is C

XM = 132 - 52 = 12cm

MZ = 152 - 122 = 9cm
YZ = 9 + 5 = 14cm

3,144.

P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9

A.

729/16

B.

6

C.

4

D.

16/9

E.

4/3

Correct answer is D

P α 1/w2; P = K/W2
9 = K/42; 9 = K/16
K = 9 x 16 = 144
P = K/W2; when w = 9
P = 144/92 = 144/81 = 16/9

3,145.

Make q the subject of the relation t = √(pq/r  - r\(^2\)q)

A.

q = \(\frac{rt^2}{(p - r^3)}\)

B.

q = \(\frac{t^2}{(p - r^2)}\)

C.

q = \(\frac{rt}{(p - r^3)}\)

D.

q = \(\frac{(p - r^3)}{rt^2}\)

E.

q = rt\(^2\)(p - r\(^3\))

Correct answer is A

t = √pq/r - r\(^2\)q

multiply both sides by the L.C.M, r


r\(^2\) = pq - qr\(^3\)

collect like terms on the RHS
q(p - r3) = rt\(^2\)


q = \(\frac{rt^2}{(p - r^3)}\)