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.

3,412.

Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270°, find \(\theta\).

A.

65o

B.

115o

C.

145o

D.

245o

E.

265o

Correct answer is D

Sin\(\theta\) = -0.9063; \(\theta\) = sin-1(0.9063)

\(\theta\) = -64.99 = -65°

\(\theta\) = 180° - (-65);

180 + 65 = 245°

3,413.

the graph above is a sketch of

A.

y = sin 2x

B.

y=sinx

C.

y=cos2x

D.

y=2sinx

E.

y = 2cos x

Correct answer is D

No explanation has been provided for this answer.

3,414.

Two towns, P and Q, are on (4oN 40oW) and (4oN
20oE) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).

A.

2πR cos4o

B.

πR sin40o

C.

πR/2
cos4o

D.

πR/3
cos4o

E.

πR/6
cos4o

Correct answer is D

Angular distance = 40o + 20o = 60o
using θ/360 x 2πr for distance between p and Q
= 60/360 x 2πRcos4o = 1/3πRcos4o

3,415.

The common ratio of a G.P. is 2. If the 5th term is greater than the 1st term by 45, find the 5th term,

A.

3

B.

6

C.

45

D.

48

E.

90

Correct answer is D

a = 1st term ; ar4 = 5th term
∴ ar4 = a(2)4 = 16a; 16a = 45 + a, a = 3;
3(2)4 = 48