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.

221.

A box contains 40 identical balls of which 10 are red and 12 are blue. if a ball is selected at random from the box what is the probability that it is neither red nor blue?

A.

\(\frac{9}{20}\)

B.

\(\frac{3}{10}\)

C.

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

D.

\(\frac{11}{20}\)

Correct answer is A

Total number = 40

number of red = 10

Pr (R) = \(\frac{10}{40}\)


Pr(blue) = \(\frac{12}{40}\)

probability (neither red nor blue)
= 1 - \(\frac{10}{40}\) -  \(\frac{12}{40}\)
= \(\frac{40 -12 -10}{40}\)
= \(\frac{18}{40}\) or  \(\frac{9}{20}\)

222.

The pie chart represents the distribution of fruits on display in the shop if there are 60 apples on display how many oranges are there? 

A.

80

B.

270

C.

120

D.

90

Correct answer is D

Total angles = 360°

100 + 60 + 80 + M = 360

M = 360 - 240 = 120

Orange (M) = 120° and F ( fruits in total)

For Apples:

\(\frac{80}{360} \times F\) = 60

F = \(\frac{60 \times 360}{80}\)

F = 270 fruits in total

For Orange

= \(\frac{120}{360} \times 270\) 

= 90 oranges

223.

The distance d between two villages east more than 18 KM but not more than 23KM.

which of these inequalities represents the statements?

A.

18 ≤ d ≤ 23

B.

18 < d < 23

C.

18 ≤ d < 23

D.

18 < d ≤ 23

Correct answer is D

distance d more than 18 KM = d > 18 0r 18 < d distance d but not more than 23 KM = d ≤ 23 Mathematically; 18 < d ≤ 23

224.

500 tickets were sold for a concert tickets for adults and children were sold at $4.50 and $3.00  respectively if the total receipts for the concerts was $1987.50 how many tickets for adults were sold?

A.

325

B.

235

C.

175

D.

400

Correct answer is A

A for Adults

C for children 

a + c = 500

c = 500 - a

4.5a + 3c = 1987.50

where c = 500 - a

4.5a + 3(500 - a) = 1987.50

4.5a - 3a = 1987.50 - 1500

1.5a = 487.5

a = 487.5 / 1.5

a = 325 tickets

c = 500 - a

c = 500 - 325

c = 175 tickets

 

Check:

from 4.5a + 3c

4.5 (325) = 1,462.5

+

3(175) = 525

225.

\(\overline{XY}\) is a line segments with the coordinates X (- 8,- 12) and Y(p,q). if the midpoint of \(\overline{XY}\)  is (-4,-2) find the coordinates of Y.

A.

(-6,-2)

B.

(0,8)

C.

(4,10)

D.

(0,4)

Correct answer is B

The formula for midpoint = \(\frac{x_1 + x_2}{2}\), \(\frac{y_1 + y_2}{2}\)

(-4,-2) = (x,y)

x = \(\frac{x_1 + x_2}{2}\)

-4 = \(\frac{-8 + p}{2}\)

-4 * 2 = -8 + p

-8 + 8 = p

: p = 0

y = \(\frac{y_1 + y_2}{2}\)

-2 = \(\frac{-12 + q}{2}\)

-2 * 2 = -12 + q

-4 + 12 = q

: q = 8