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.

2,891.

In the diagram O is the centre of the circle. Which of the following is/are not true?

I. a = b
II. b + c = 180o
III. a + b = c

A.

I and II only

B.

II and III only

C.

II only

D.

III only

Correct answer is A

No explanation has been provided for this answer.

2,892.

In the diagram O and O' are the centres of the circles radii 15cm and 8cm respectively. If PQ = 12cm, find |OO'|.

A.

8.46cm

B.

19.04cm

C.

20.81cm

D.

26.16cm

Correct answer is B

 In \(\Delta\) POQ, 

\(12^2 = 15^2 + 15^2 - 2(15)(15) \cos < POQ\)

\(144 = 450 - 450\cos < POQ\)

\(450 \cos < POQ = 450 - 144 = 306\)

\(\cos <POQ = \frac{306}{450} = 0.68\)

\(< POQ = 47.2°\)

In \(\Delta\) PO'Q, 

\(12^2 = 8^2 + 8^2 - 2(8)(8) \cos <PO'Q\)

\(144 - 128 = -128 \cos < PO'Q\)

\(\cos < PO'Q = - 0.125\)

\(< PO'Q = 97.2°\)

In \(\Delta\) POQ,

\(\cos 23.6 = \frac{x}{15}\)

\(x = 15 \times \cos 23.6\)

= 13.75 cm

In \(\Delta\) PO'Q, 

\(\cos 48.6 = \frac{y}{8}\)

\(y = 8 \times \cos 48.6\)

= 5.29 cm

\(\therefore\) OO' = x + y = 13.75 + 5.29

= 19.04 cm

 

 

2,893.

The upper quartile of the distribution is

A.

30

B.

27.5

C.

25

D.

17.75

Correct answer is D

No explanation has been provided for this answer.

2,894.

The range of the distribution is

A.

50

B.

30

C.

25

D.

15

Correct answer is C

No explanation has been provided for this answer.

2,895.

A number is selected at random from the set Y = {18, 19, 20, . . . 28, 29}. Find the probability that the number is prime.

A.

\(\frac{1}{4}\)

B.

\(\frac{3}{11}\)

C.

\(\frac{1}{2}\)

D.

\(\frac{3}{4}\)

Correct answer is A

Y = {18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29}

Number of prime numbers = 3

Prob(picking  a prime number) = \(\frac{3}{12}\)

= \(\frac{1}{4}\)