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.

2,761.

In the diagram, PQRS is a parallelogram and ∠QRT = 30o. Find x

A.

95o

B.

100o

C.

120o

D.

150o

Correct answer is D

Since ∠QRS = 180o - 30o = 150o and ∠SPQ = ∠QRS (theorem opp. angles in a parallelogram are equal) ∴ x = 150o

2,762.

In the diagram PQ and MN are straight lines. Find the value of x

A.

13o

B.

17o

C.

28o

D.

30o

Correct answer is B

The straight line MN = 180 = 2(x+30o) + 86o =>
180 = 2x + 60o + 86o => 180o = 2x + 146o => 2x = 180 - 46 = 34o => x = 34/2 = 17o

2,763.

The probability that John and James pass an examination are 3/4 and 3/5 respectively, find the probability of both boys failing the examination.

A.

\(\frac{1}{10}\)

B.

\(\frac{3}{10}\)

C.

\(\frac{9}{20}\)

D.

\(\frac{11}{20}\)

Correct answer is A

Prob.(John pass)\(\frac{3}{4}\) prob.(John fail) \(=1-\frac{3}{4}=\frac{1}{4}\)
Prob.(James pass) \(\frac{3}{5}\) Prob.(James fail) \(=1-\frac{3}{5}=\frac{2}{5}\)
Prob(both boys fail)\(\frac{1}{4}\times \frac{2}{5}=\frac{1}{10}\)

2,764.

The lengths of the adjacent sides of a right - angled triangle are xcm, (x-1)cm. If the length of the hypotenuse is \(\sqrt{13}cm\), find the value of x

A.

2

B.

3

C.

4

D.

5

Correct answer is B

\(x^2+(x-1)^2 = (\sqrt{13})^2 \Rightarrow x^2 + x^2 - 2x + 1 = 13\\
2x^2 - 2x - 12 = 0\) dividing through by 2
\(x^2 - x- 6 = 0; (x-3)(x-2) = 0 \Rightarrow x = 3 or -2 \)

2,765.

Make f the subject of the relation \(v = u + ft\)

A.

\(\frac{v-u}{t}\)

B.

\(\frac{u-v}{t}\)

C.

\(t(v+u\)

D.

\(\frac{v}{u}-t\)

Correct answer is A

\(v=u+ft \Rightarrow v-u=ft\Rightarrow f=\frac{v-u}{t}\)