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.

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

222.

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

223.

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

224.

\(\overline{XY}\) 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

225.

Height(cm) 160 161 162 163 164

165

No. of players 4 6 3 7 8 9

the table shows the height of 37 players of a basketball team calculates correct to one decimal place the mean height of the players.

A.

163.0

B.

162.0

C.

160.0

D.

165.0

Correct answer is A

∑fx = (160 * 4) + (161 * 6) + (162 * 3) + (163 * 7) + (164 * 8) + (165 * 9)  

=640 + 966 + 486 + 1,141 + 1,312 + 1,485

= 6,030

∑f = 4 + 6 + 3 + 7 + 8 + 9

= 37

= \(\frac{∑fx}{∑f}\)

= \(\frac{6030}{37}\)

= 162.97 or 163