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.

3,226.

A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7] Find the total surface area of the container

A.

35cm3

B.

154cm3

C.

220cm2

D.

528cm2

E.

770cm2

Correct answer is D

T.S.A of a cylinder = \(2\pi r^2 + 2\pi rh\)

= \(2\pi r(r + h)\)

= \(2 \times \frac{22}{7} \times 7 \times (7 + 5)\)

= \(44 \times 12\)

= \(528 cm^2\)

3,227.

A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]

A.

37.5litres

B.

375 litres

C.

3750 litres

D.

37500 litres

E.

375000 litres

Correct answer is B

Volume of water taken by the tank = \(\frac{3}{2} \times \frac{3}{2} \times \frac{1}{2}\)

= \(\frac{9}{8} m^3\)

= \(\frac{9}{8} \times 1000\)

= 1125 litres

\(\therefore\) Water left = (1500 - 1125) litres

= 375 litres.

3,228.

The diagonals AC and BD of a rhombus ABCD are 16cm and 12cm long respectively. Calculate the area of the rhombus.

A.

24cm2

B.

36cm2

C.

48cm2

D.

60cm2

E.

96cm2

Correct answer is E

Area of rhombus = \(\frac{pq}{2}\)

where p and q are the diagonals of the rhombus.

\(\therefore A = \frac{16 \times 12}{2}\)

= 96 cm\(^2\)

3,229.

In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|

A.

10cm

B.

9cm

C.

8cm

D.

7cm

E.

6cm

Correct answer is E

|AB| = 12 cm; |DC| = 9 cm; |AE| = 8 cm.

\(\Delta\) ABE and \(\Delta\) EDC are similar triangles. Hence,

\(\frac{|AB|}{|DC|} = \frac{|AE|}{|EC|}\)

\(\frac{12}{9} = \frac{8}{|EC|}\)

\(\therefore |EC| = \frac{9 \times 8}{12}\)

= 6 cm

3,230.

Use the graph of y = 3x\(^2\) + x - 7 above to answer the question

Find the roots of the equation y=3x\(^2\) + x - 7

A.

1.0 And -1.2

B.

1.1and-1.3

C.

1.4and-1.7

D.

2.0 and -1.9

E.

2.4 and -2.0

Correct answer is C

No explanation has been provided for this answer.