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.

436.

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room 

A.

\(\frac{15}{17}\)

B.

\(\frac{8}{17}\)

C.

\(\frac{8}{15}\)

D.

\(\frac{12}{17}\)

Correct answer is A

ABCD is the floor. By pathagoras 

AC\(^2\) = 144 + 81 = \(\sqrt{225}\) 

AC = 15cm

Height of room 8m, diagonal of floor is 15m

Therefore, the cosine of the angle which a diagonal of the room makes with the floor is 

EC\(^2\) = 15\(^2\) + 8\(^2\) cosine

\(\frac{adj}{Hyp} = \frac{15}{17}\) 

EC\(^2\) = \(\sqrt{225 + 64}\)

EC = \(\sqrt{289}\)

= 17 

437.

What is the circumference of latitude 0\(^o\)S if R is the radius of the earth? 

A.

cos \(\theta\)

B.

2\(\pi\)R cos \(\theta\)

C.

R sin \(\theta\)

D.

2 \(\pi\) r sin \(\theta\)

Correct answer is B

Circumstances of latitude 0\(^o\)s where R is the radius of the earth 2\(\pi\)r cos \(\theta\)

438.

Four boys and ten girls can cut a field first in 5 hours. If the boys work at \(\frac{5}{4}\) the rate at which the girls work, how many boys will be needed to cut the field in 3 hours? 

A.

180

B.

60

C.

25

D.

20

Correct answer is D

Let x rep. numbers of boys that can work at \(\frac{5}{4}\) the rate at

 which the 10 girls work 

For 1 hrs, x boys will work for \(\frac{\frac{1}{5} \times 10}{4}\) 

x = \(\frac{5}{4}\) x 10 

= 8 boys 

8 boys will do the work of ten girls at the same rate 

4 + 8 = 12 bous cut the field in 5 hrs for 3 hrs, 

\(\frac{12 \times 5}{3}\) boys will be needed = 20 boys.

439.

Reach each number to two significant figures and then evaluate \(\frac{0.02174 \times 1.2047}{0.023789}\) 

A.

0

B.

0.9

C.

1.1

D.

1.2

Correct answer is C

\(\frac{0.021741 \times 1.2047}{0.023789}\) = \(\frac{0.0255 \times 1.2}{0.024}\) (to 216) 

= \(\frac{0.0264}{0.024}\) = 1.1

440.

Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4) 

A.

x < 11

B.

x < -1

C.

x > 6

D.

x > 11

Correct answer is D

\(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4)  = \(\frac{x + 1}{3} - 1\) > \(\frac{x + 4}{5}\) 

\(\frac{x + 1}{3} - \frac{x + 4}{5} -1\) > 0 

= \(\frac{5x + 5 - 3x - 12}{15}\) 

2x - 7 > 15

2x > 22 = x > 11