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.

2,256.

A car painter charges N40.00 per day for himself and N10.00 per day for his assistant. if a fleet of cars were painted for N2000.00 and the painter worked 10days more than his assistant, how much did the assistant receive?

A.

N32.00

B.

N320.00

C.

N420.00

D.

N1680.00

Correct answer is B

Let his assistant work for x days

∴ his master worked (x + 10) day. Amount received by master = 40(x + 10),

amount got by his assistance = 10x

Total amount collected = N2000.00

∴ 40(x + 10) + 10x = 2000

= 40x + 400 + 10x

= 2000

50x + 400 = 2000

50x = 2000 - 400

50x = 1600

x = \(\frac{1600}{50}\)

x = 32 days

2,257.

The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m2; how wide is the lawn?

A.

5cm

B.

7m

C.

12m

D.

14m

Correct answer is A

No explanation has been provided for this answer.

2,258.

Find the solution of the equation x - 8\(\sqrt{x}\) + 15 = 0

A.

3, 5

B.

-3, -5

C.

9, 25

D.

-9, 25

Correct answer is C

x - 8\(\sqrt{x}\) + 15 = 0
x + 15 = 8\(\sqrt{x}\)

square both sides = (x + 15)2 = (8 \(\sqrt{x}\)2

x2 + 225 + 30x = 64x

x2 + 225 + 30x - 64x = 0

x2 - 34x + 225 = 0

(x - 9)(x - 25) = 0

x = 9 or 25

2,259.

What must be added to 4x2 - 4 to make it a perfect square?

A.

\(\frac{-1}{x^2}\)

B.

\(\frac{1}{x^2}\)

C.

1

D.

-1

Correct answer is B

(2x \(\frac{-1}{4}\)2 = 4x2 + \(\frac{1}{x^2}\) - 4

what must be added is +\(\frac{1}{x^2}\)

2,260.

If x + \(\frac{1}{x}\) = 4, find x2 + \(\frac{1}{x^2}\)

A.

16

B.

14

C.

12

D.

9

Correct answer is B

x + \(\frac{1}{x}\) = 4, find x2 + \(\frac{1}{x^2}\)

= (x + \(\frac{1}{x}\))2 = x2 + \(\frac{1}{x^2}\) + 2

x2 + \(\frac{1}{x^2}\) = ( x + \(\frac{1}{x^2}\))2 - 2

= (4)2 - 2

= 16 - 2

= 14