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.

1,526.

In the diagram, PQUV, PQTU, QRTU and QRST are parallelograms. |UV| = 4.8cm and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV

A.

96cm2

B.

72cm2

C.

60cm2

D.

24cm2

Correct answer is C

|VU| = |UT| = |TS|

|VS| = (4.8) x 3 = 14.4cm

|PQ| = |QR| = 4.8

|PR| = (4.8) x 2 = 9.6cm

Since quad. PRSV is a trapezium of height 5cm

Area of quad. PRSV = \(\frac{1}{2}(a + b)h\)

= \(\frac{1}{2}(14.4 + 9.6) \times 5\)

= \(\frac{1}{2}(24) \times 5\)

12 x 5 = 60cm2

1,527.

A ladder 16m long leans against an electric pole. If the ladder makes an angle of 65o with the ground, how far up the electric pole does its top reach

A.

6.8m

B.

14.5m

C.

17.7m

D.

34.3m

Correct answer is B

Sin 65o = \(\frac{x}{16}\)

x = 16x sin 65

= 16 x 0.9063

x = 14.5m

1,528.

Simplify \(\frac{20}{5\sqrt{28} - 2 \sqrt{63}}\)

A.

\(\frac{5\sqrt{7}}{7}\)

B.

\(\frac{5\sqrt{5}}{7}\)

C.

\(\frac{7\sqrt{5}}{7}\)

D.

\(\frac{7\sqrt{7}}{5}\)

Correct answer is A

\(\frac{20}{5 \sqrt{4 \times 7} - 2\sqrt{9 \times 7}}\)

\(\frac{20}{10 \sqrt{7} - 6\sqrt{7}}\)

= \(\frac{20 \sqrt{7}}{4 \sqrt{7}}\)

= \(\frac{5\sqrt{7}}{7}\)

1,529.

The temperature in a chemical plant was -5oC at 2.00 am. The temperature fell by 6oC and then rose again by 7oC. What was the final temperature?

A.

-6oC

B.

-4oC

C.

4oC

D.

8oC

Correct answer is B

Temperature = -5oC

It fell by 6oC = -5oC - 6oC

= -11oC

Then rose by 7oC = -11 + 7

= -4oC (final temperature)

1,530.

Which of the following is not a measure of centre tendency?

A.

mean

B.

mode

C.

range

D.

median

Correct answer is C

No explanation has been provided for this answer.