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.

1,181.

Three quarters of a number added to two and a half of the number gives 13. Find the number

A.

4

B.

5

C.

6

D.

7

Correct answer is A

let the number be x

2\(\frac{1}{2}x + \frac{3}{4}x = 13\)

\(\frac{5}{2}x + \frac{3}{4}x = 13\)

multiply through by 4

4(\(\frac{5}{2}\))x + 4(\(\frac{3}{4}\))x = 13 x 4

2(5x) + 3x = 52

10x + 3x = 52

13x = 52

x = \(\frac{52}{13}\)

x = 4

1,182.

Given that x > y and 3 < y, which of the following is/are true? i. y > 3 ii. x < 3 iii. x > y > 3

A.

i

B.

i and ii

C.

i and iii

D.

i, ii and iii

Correct answer is C

x > y and 3 < y; then 3 < y means that y > 3 x > 3 to give the possible x > y > 3

1,183.

Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))

A.

18

B.

16

C.

14

D.

12

Correct answer is A

\(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))

\(\sqrt{4 \times 3} (6 \times 3 - \sqrt{3}) = 2 \sqrt{3}(4 \sqrt{3} - \sqrt{3})\)

= 2\(\sqrt{3} \times \sqrt{3} (4 - 1) 2\sqrt{9}(3) = 2 \times 3 \times 3 = 18\)

1,184.

The bar chart above shows the scores of some students in a test. Use it to answer this

 

If one student is selected at random, find the probability that he/she scored at most 2 marks

A.

\(\frac{11}{18}\)

B.

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

C.

\(\frac{7}{22}\)

D.

\(\frac{5}{19}\)

Correct answer is B

at most 2 marks = 5 + 2 + 4 students = 11 students

probability(at most 2 marks) = \(\frac{11}{20}\)

1,185.

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