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.

1,821.

Make x the subject of the equation a(b + c) + \(\frac{5}{d}\) - 2 = 0

A.

c = \(\frac{2d - 5 - b}{ad}\)

B.

c = \(\frac{2d - 5 - abd}{ad}\)

C.

c = \(\frac{2d - 5 - ab}{ad}\)

D.

c = \(\frac{5 - 2d - b}{ad}\)

Correct answer is B

a(b + c) + \(\frac{5}{d}\) - 2 = 0

ab + ac + \(\frac{5}{d}\) - 2 = 0

abd + \(\frac{acd}{d}\) + 5 - 2 = ab + ac + 5 - 2d

acd = 2d - 5 - abd

c = \(\frac{2d - 5 - abd}{ad}\)

1,822.

PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15o find < QRS

A.

75o

B.

37\(\frac{1}{2}\)o

C.

127\(\frac{1}{2}\)o

D.

105o

Correct answer is D

PSO = 90o(angle in a semicircle)

SPO = 180o - (90o + 15o) = 75o

< QRS = 108o - 75o

= 105o(opposite angles in cyclic quadrilateral are supplementary)

1,823.

One of the following statements is wrong. Which is it?

A.

If a triangle is equiangular then it is also equilateral

B.

If a triangle is equilateral then it is also then it is also equiangular

C.

If two triangles are similar then they are also congurent

D.

The sum of the interior angles of any triangle is 180 degrees

Correct answer is C

Two similar triangles are not also congruent

1,824.

Simplify 2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\)

A.

\(\frac{1}{6}\)

B.

\(\frac{13}{20}\)

C.

\(\frac{11}{30}\)

D.

\(\frac{9}{4}\)

E.

\(\frac{5}{3}\)

Correct answer is A

2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\) = \(\frac{29}{12}\) - \(\frac{15}{8}\) x \(\frac{6}{5}\)

= \(\frac{29}{12}\) - \(\frac{9}{4}\)

= \(\frac{29 - 27}{12}\)

= \(\frac{2}{12}\)

= \(\frac{1}{6}\)

1,825.

A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?

A.

1m

B.

1.1m

C.

1.2m

D.

0.9m

E.

1.3m

Correct answer is E

If tan\(\theta\) = 2, 4

\(\theta\) = tan-1(2.4)

= 67o 25

By sin formula \(\frac{x}{sin 90^o}\) = \(\frac{50}{sin 22^o 37}\)

= \(\frac{50}{sin(9o - \theta)}\)

sin90o = 1

x = 50 cosec 22o 37

= 50 x 2.604x

= 130cm

but 100cm = 1m

130cm = 1.3m