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.

1,516.

The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]

A.

6.28cm

B.

12.6cm

C.

22.6cm

D.

62.8cm

Correct answer is B

Length of arc = \(\frac{\theta}{360 \times 2 \pi r}\)

= \(\frac{72}{360} \times 2 \times \frac{22}{7} \times 10\)cm

= 12.57

= 12.6cm(3 s.f)

1,517.

If the pass mark was 4. What percentage of the pupils failed the test?

A.

20.0%

B.

37%

C.

62.5%

D.

80.0%

Correct answer is A

No. of pupils that failed = 1 + 3 + 4 + 8

% failed = \(\frac{8}{40} \times 100\)% = 20.0%

1,518.

How many pupils took the test?

A.

36

B.

38

C.

39

D.

40

Correct answer is D

No. of pupils = 1 + 3 + 4 + 7 + 8 + 6 + 6 + 4 + 1 = 40

1,519.

In the diagram, PQR is a straight line, QRST is a parallelogram, < TPQ = 72o and < RST = 126o. What type of triangle is \(\bigtriangleup\) PQT?

A.

An equilateral triangle

B.

A right-angled triangle

C.

An isosceles triangle

D.

A scalene triangle

Correct answer is C

No explanation has been provided for this answer.

1,520.

In the diagram, the two circles have a common centre O. If the area of the larger circle is 100\(\pi\) and that of the smaller circle is 49\(\pi\), find x

A.

2

B.

3

C.

4

D.

6

Correct answer is B

area of larger circle = 100\(\pi\)

\(\pi r^2 = 100\pi\)

R2 = 100

R = 10(Radius)

Area of smaller circle = \(49 \pi\)

\(\pi r^2 = 49\pi\)

r2 = 49

r = 7(radius)

Since R = x + r

x = R - r

x = 10 - 7 = 3