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.

2,806.

Factorise 27p2x2 - 48y2.

A.

9(3px - 4y)2

B.

3(3px - 4y)(3px - 4y)

C.

9(px - 4y)(3p x + 4y)

D.

3(3px -4y)(3px +4y)

Correct answer is D

27p2x2 - 48y2; 3(32 p2x2-42y2)
3[(3px) 2 - (4y) 2]; 3[(3px-4y)(3px+4y)]

2,807.

In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|

A.

5.6 cm

B.

11.2cm

C.

11.4cm

D.

28.0cm

Correct answer is A

\(\frac{PQ}{PR}=\frac{XZ}{XY}; \frac{PQ}{8}=\frac{3.5}{5}\\
PQ=\frac{8\times 3.5}{5}=\frac{28}{5}=5.6cm\)

2,808.

Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24.

A.

23.00

B.

17.29

C.

16.50

D.

16.33

Correct answer is B

Mean \(= \frac{sum\hspace{1mm}of\hspace{1mm}all\hspace{1mm}the\hspace{1mm}numbers}{Total\hspace{1mm}Number}\\
\frac{9+13+16+17+19+23+24}{7}\\
\frac{121}{7}=17.2857=17.29\)

2,809.

Solve the equation 10-3x-x2 = 0

A.

x=2 or-5

B.

x= -2 or 5

C.

x = 1 or 10

D.

x = 2 or 5

Correct answer is A

10 – 3x - x2 = 0; 10 – 5x + 2x - x2 = 0
5(2 – x) + x(2 – x) = 0; (2 – x)(5 + x) = 0
2 – x = 0 or 5 + x = 0; x = 2 or x = -5

2,810.

Each interior angle of a regular polygon is 108°. How many sides has it?

A.

5

B.

7

C.

9

D.

14

Correct answer is A

The exterior angle of the polygon = 180 – 108 = 72°. The sum of exterior angle of the regular polygon = 360°
The number of sides \(=\frac{360}{72}=5\)