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.

3,271.

A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm3)

A.

2cm

B.

4cm

C.

5cm

D.

8cm

E.

10cm

Correct answer is B

Volume of cuboid = length x breadth x height 12.5 x 20 x h = 1000 250h = 1000 h = 4 cm

3,272.

The angle subtended at the centre by a chord of a circle radius 6cm is 120°. Find the length of the chord.

A.

3cm

B.

6cm

C.

\(4\sqrt{2}\) cm

D.

\(3\sqrt{3}\) cm

E.

\(6\sqrt{3}\) cm

Correct answer is E

\(\frac{r}{6} = \sin 60 \)

\(r = 6 \sin 60\)

= \(6 \times \frac{\sqrt{3}}{2}\)

= \(3\sqrt{3}\)

Chord = 2r = \( 2 \times 3\sqrt{3}\)

= \(6\sqrt{3}\)

3,273.

Solve the equation log8x - 4log8x = 2

A.

1/4

B.

1/2

C.

1

D.

2

E.

4

Correct answer is A

log8x - 4log8x = 2; log8x - log8x4 = 2
log8x/x4 = 2
x/x4 = 82 = 1/x3 = 64
x3 = (1/4)3; x = 1/4

3,274.

Factorise: 6x\(^2\) + 7xy - 5y\(^2\)

A.

(6x + 5y)(x - y)

B.

(2x + 5y)(3x - y)

C.

(3x + y)(2x - 5y)

D.

(3x + 5y)(2x - y)

E.

(2x + y)(3x - 5y)

Correct answer is D

\(6x^2 + 7xy - 5y^2\)

= \(6x^2 + 10xy - 3xy - 5y^2\)

= \(2x(3x + 5y) - y(3x + 5y)\)

= \((2x - y)(3x + 5y)\)

3,275.

Which of the following is a root of the equation x\(^2\) +6x = 0?

A.

0

B.

1

C.

2

D.

3

E.

It does not have any root.

Correct answer is A

\(x^2 + 6x = 0\)

\(x(x + 6) = 0\)

\(x = 0\) or \(x = -6\)