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.

1,066.

If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x

A.

75

B.

120

C.

165

D.

195

E.

240

Correct answer is E

No explanation has been provided for this answer.

1,067.

If n{A} = 6, n{B} = 5 and n{A ∩ B} = 2, find n{A ∪ B}

A.

7

B.

8

C.

9

D.

13

E.

15

Correct answer is C

No explanation has been provided for this answer.

1,068.

An arc of a circle subtends an angle of 75° at the centre of the circle. If the diameter of the circle is 7cm, what Is the length of the arc? (take π = 3.142)

A.

4.58 cm

B.

8.02 cm

C.

16.04 cm

D.

32.08 cm

E.

34 cm

Correct answer is A

No explanation has been provided for this answer.

1,069.

Given that (3 - y) ÷ 2x = (6y + 7) ÷ (4x - 5), find the value of x when y = 2

A.

\(\frac{64}{5}\)

B.

6

C.

\(\frac{5}{34}\)

D.

\(\frac{-5}{34}\)

E.

\(\frac{-64}{5}\)

Correct answer is D

No explanation has been provided for this answer.

1,070.

If cos x = - \(\frac{5}{13}\) where 180° < X < 270°, what is the value of tan x -sin x ?

A.

\(\frac{111}{13}\)

B.

\(\frac{321}{65}\)

C.

-\(\frac{216}{65}\)

D.

\(\frac{112}{13}\)

E.

\(\frac{131}{65}\)

Correct answer is C

Given  cos x = - \(\frac{5}{13}\) 

→ adj = -5, hyp = 13 

Pythagoras' rule → hyp\(^2\) = Opp\(^2\) + adj\(^2\)

Opp\(^2\) = 13\(^2\) - [-5]\(^2\) → 169 - 25

Opp = √144 → 12

tan x = \(\frac{opp}{adj}\) → - \(\frac{12}{5}\) 

sin x = \(\frac{opp}{hyp}\) → \(\frac{12}{13}\) 

; tan x - sin x →  - \(\frac{12}{5}\) -  \(\frac{12}{13}\) 

=  - \(\frac{216}{65}\)