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.

1,091.

The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?

A.

1/2

B.

1/3

C.

2/5

D.

3/4

Correct answer is B

Prob.(A outcome) = \(\frac{1}{6}\), Prob.(B outcome) = ¼

P(A ∪ B) = 1/12, Prob.(A ∩ B)

Prob.(A ∩ B) = Prob.(A) + Prob.(B) − Prob.(A ∪ B)

1/6 + 1/4 − 1/12

= (2 + 3 − 1) ÷ 12

= 4/12

= 1/3

Prob.(A ∩ B) = 1/3

1,092.

The volume of a cone (s) of height 6cm and base radius 5cm is

A.

157cm3

B.

155cm3

C.

175cm3

D.

145cm3

Correct answer is A

V = ⅓ πr2 h

Volume of a cone (Vc) = ⅓ × 3.14 × (5)2 × 6

= 156.93

157cm3

1,093.

The area of an ellipse is 132cm2.The length of its major axis is 14cm.Find the length of it minor axis

A.

10.5cm

B.

5cm

C.

10cm

D.

3cm

Correct answer is D

No explanation has been provided for this answer.

1,094.

The area of a circle of radius 4cm is equal to (Take π = 3.142 )

A.

10.3cm2

B.

15.7cm2

C.

50.3cm2

D.

17.4cm2

Correct answer is C

Area of a circle (A) = πr2

Radius = 4cm

π = 3.142

A = 3.142 × (4)2

= 3.142 × 16

= 50.272

A = 50.3cm2 (1dp)

1,095.

Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \)

A.

2x/(x + 1)(x−3)

B.

2x/(x + 1)(x−1)

C.

2x/(x + 1)2

D.

2x(x+1)2

Correct answer is B

[1 ÷ (x+1)] + [1 ÷ (x − 1)]

= ((x − 1) + [(x + 1)) ÷ (x+1)(x − 1)]

Using the L.C.M.

= (x − 1 + x + 1) ÷ (x + 1)(x − 1)

= (x + 2 − 1 + 1) ÷ (x + 1)(x − 1)

= 2x ÷ (x + 1)(x − 1) =2x ÷ (x + 1)(x − 1)