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.

1,156.

The volume of a cube is 512cm3. Find the length of its side

A.

6cm

B.

7cm

C.

8cm

D.

9cm

Correct answer is C

volume of cube = L x L x L

512cm3 = L3

L3 = 512cm3

L = 3\(\sqrt{512}\)

L (512)\(\frac{1}{3}\)

= (29)\(\frac{1}{3}\)

23 = 8cm

1,157.

If 23x = 325, find the value of x

A.

7

B.

6

C.

5

D.

4

Correct answer is A

23x = 325

2 \(\times x^1 + 3 \times x^0 = 3 \times 5^1 + 2 \times 5^0\)

= 2x + 3 = 15 + 2

2x + 3 = 17

2x = 17 - 3

2x = 14

x = \(\frac{14}{2}\)

x = 7

1,158.

Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)

A.

6\(\frac{4}{15}\)

B.

6\(\frac{11}{15}\)

C.

7\(\frac{4}{15}\)

D.

7\(\frac{11}{15}\)

Correct answer is B

10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)

\(\frac{52}{5} - \frac{20}{3} + \frac{3}{1}\)

= \(\frac{156 - 100 + 45}{15}\)

\(\frac{156 + 45 - 100}{15}\)

= \(\frac{201 - 100}{15}\)

= \(\frac{101}{15}\)

= 6\(\frac{11}{15}\)

1,159.

Using the venn diagram, find n(x \(\cap\) y1)

A.

2

B.

3

C.

4

D.

6

Correct answer is A

(x \(\cap\) y2) = [a, b]

n(x \(\cap\) y2) = 2

1,160.

In the diagram, ST//PQ reflex angle SRQ = 198o and < RQp = 72o. Find the value of y

A.

18o

B.

54o

C.

87o

D.

92o

Correct answer is B

R +198 = 360(angles at a point)

R = 360 - 198 = 162o

C = 72(alternate angle), b + c = 180(angles or straight line)

b = 190 - c = 180 - 72 = 108

a + b = R = 162

a = R - b = 162 - 108

= 54, but a = y(alternate angles)

y = 54o