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.

1,756.

In the Figure FD\\AC, the area of AEF = 6sq.cm. AE = 3cm, BC = 3cm, CD = 5cm, < BCD is an obtuse angle. Find the length of BD.

A.

\(\sqrt{33}\)

B.

6

C.

4

D.

2\(\sqrt{13}\)

E.

4\(\sqrt{5}\)

Correct answer is D

Area of triangle AEF = 6sq. cm

area of triangle = \(\frac{1}{2}\)bh (Line DX makes right angles with the parallel lines)

6 = \(\frac{1}{2}\) x 3 x h

6 = 3h

3h = \(\frac{12}{3}\)

h = 4 = DX

From D, C x D, CX2 = 52
- 42

= 25 - 16 = 9

Cx = 3. From angle B x D, Bx = 6(i.e. 3 + 3)

BD2 = 42 + 62


= 16 + 36 = 52

BD = \(\sqrt{4 \times 13}\)

= 2\(\sqrt{13}\)

1,757.

In the figure, AB is parallel to CD then x + y + z is

A.

185o

B.

200o

C.

270o

D.

360o

E.

195o

Correct answer is D

x + y + z = 360o

1,758.

In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.

A.

4cm

B.

6cm

C.

3cm

D.

2cm

E.

1cm

Correct answer is B

Angles ADE and EFC are similar,
Therefore,

= \(\frac{x}{3} = \frac{4}{2}\)

= \(\frac{x}{3} = 2\)

x = 3 x 2 = 6

1,759.

The smallest number such that when it is divided by 8 has a remainder of 6 and when it is divided by 9, has a remainder of 7 is

A.

387

B.

493

C.

502

D.

441

E.

634

Correct answer is C

Possible multiples of 8 and 9 = 72, 144, 216, 288, 360, 432, 576, 648.

\(\frac{387}{8}\) has remainder = 3; \(\frac{387}{9}\) has remainder 0.

\(\frac{493}{8}\) has remainder 5; \(\frac{493}{9}\) has remainder 7.

\(\frac{502}{8}\) has remainder 6; \(\frac{502}{9}\) has remainder 7.

\(\frac{441}{8}\) has remainder 1; \(\frac{441}{9}\) has remainder 0.

\(\frac{634}{8}\) has remainder 2; \(\frac{634}{9}\) has remainder 4.

Hence 502 is the answer.