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.

1,271.

The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation

A.

12n - 6 = 0

B.

3n - 12 = 0

C.

2n - 35 = 0

D.

5n - 33 = 0

Correct answer is D

12 = \(\frac{n}{3} - 2n = 1\), multiply through by 3

36 + n - 6n = 3

-5n = 3 - 36

-5n = -33

-5n + 33 = 0

5n - 33 = 0

1,272.

If x + y = 2y - x + 1 = 5, find the value of x

A.

3

B.

2

C.

1

D.

-1

Correct answer is B

x + y = 2y - x + 1 = 5

x + y = 2y - x + 1

x + x + y - 2y = 1

2x - y = 1....(i)

2y - x + 1 = 5

-x + 2y = 5 + 1

-x = 2y = 4

x - 2y = -4 .....(ii)

solve simultaneously (i) x 2x - y = 1

(ii) x x - 2y = -4

2x - y = 1

=2x - 4y = -8

3y = 9

y = \(\frac{9}{3}\)

y = 3

substitute y = 3 into equation (i)

2x - y = 1

2x - 3 = 1

2x = 1 + 3

2x = 4

x = \(\frac{4}{2}\)

= 2

1,273.

Make p the subject of the relation: q = \(\frac{3p}{r} + \frac{s}{2}\)

A.

p = \(\frac{2q - rs}{6}\)

B.

p = 2qr - sr - 3

C.

p = \(\frac{2qr - s}{6}\)

D.

p = \(\frac{2qr - rs}{6}\)

Correct answer is D

q = \(\frac{3p}{r} + \frac{s}{2}\)

q = \(\frac{6p + rs}{2r}\)

6p + rs = 2qr

6p = 2qr - rs

p = \(\frac{2qr - rs}{6}\)

1,274.

Simplify: \(\frac{54k^2 - 6}{3k + 1}\)

A.

6(1 - 3k2)

B.

6(3k2 - 1)

C.

6(3k - 1)

D.

6(1 - 3k)

Correct answer is C

\(\frac{54k^2 - 6}{3k + 1} = \frac{6(9k^2 - 1)}{3k + 1}\)

= \(\frac{6(3k + 1) - (3k - 1)}{3k + 1}\)

= 6(3k - 1)

1,275.

Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)

A.

5

B.

4

C.

3

D.

1

Correct answer is A

\(\frac{1}{8} + \frac{2}{3x} = \frac{1}{3}\)

= \(\frac{1}{2}\)

\(\frac{5}{3x} = \frac{1}{3}\)

3x = 15

x = \(\frac{15}{3}\)

= 5