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.

181.

Find x if the mean of 2x, 4x, 2x - 13 and 6x is 4.

A.

1.5

B.

2.0

C.

1.0

D.

0.5

Correct answer is B

mean (4) =  \(\frac{2x + 4x + 2x - 13 + 6x}{4}\)

16 = 14x - 13

16 + 13 = 14x

x = 29/14 or 2.07

182.

If 8, p, q and 26 is an A.P. Find the values of p and q

A.

p = 14 and q = 14

B.

p = 20 and q = 14

C.

p = 20 and q = 20

D.

p = 14 and q = 20

Correct answer is D

The common difference is 6. Just add 6 to get the next term 8, 14, 20 and 26

183.

If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12

A.

4

B.

1

C.

2

D.

3

Correct answer is B

y = 1/x; y = \(\frac{k}{x}\)

k =xy → 3 * 4 = 12

x = \(\frac{k}{y}\) 

x = \(\frac{12}{12}\) = 1

184.

Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)\(^2\), then find 3 * 5

A.

223

B.

232

C.

32

D.

-232

Correct answer is A

3 * 5 = 3 - 5 + (3 x 5)\(^2\)

-2 + (15)\(^2\)

-2 + 225 

= 223

185.

In the diagram above, XY = 8cm and OX = 5cm. Find Oz

A.

9cm

B.

3.4cm

C.

9.1cm

D.

3cm

Correct answer is D

hyp = 5cm, adj =  \(\frac{8cm}{2}\) 4cm, opp = xcm

Pythagoras theorem: 

hyp\(^2\) = opp\(^2\) + adj\(^2\)

5\(^2\) = x\(^2\) + 4\(^2\)

x\(^2\) = 25 - 16

x = 9

x = 3cm