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.

1,531.

A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangular floor. Calculate the area of the floor

A.

30m2

B.

57m2

C.

120m2

D.

225m2

Correct answer is C

Area of carpet = 2.5 x 2.4 = 6

Let F represent the floor

6 = 5% of F

6 = \(\frac{5}{100}\) x F

5F = 6 x 100

F = 6 x \(\frac{100}{5}\)

= 120m2

1,532.

The values of three angles at a point are 3y - 45o, y + 25o and yo . Find the value of y.

A.

40o

B.

58o

C.

68o

D.

76o

Correct answer is D

(3y - 450 + (y + 25) + t = 360o(angles at a point)

3y - 45 + y + 25 + y = 360

5y = 360 + 20

5y = 380

y = \(\frac{380}{5}\)

= 76o

1,533.

If p = {1, 3, 5, 7, 9} and Q = {2, 4, 6, 8, 10} are subsets of a universal set. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the elements of P1 \(\cap\) Q1?

A.

{1, 3, 5, 7, 9}

B.

[2, 4, 6, 8, 10}

C.

\(\varnothing\)

D.

{1, 2, 6, 8, 10}

Correct answer is C

P1 = {2, 4, 6, 8, 10}; {1, 3, 5, 7, 9}

P1 \(\cap\) q1 = {} or \(\varnothing\)

1,534.

The wheel of a tractor has a diameter 1.4m. What distance does it cover in 100 complete revolutions? [Take \(\pi = \frac{22}{7}\)]

A.

140m

B.

220m

C.

280m

D.

440m

Correct answer is D

radius = \(\frac{diameter}{2}\) = \(\frac{1.4}{2}\)

= 0.7m

circumference = 2\(\pi r = 2 \times \frac{22}{7} \times 0.7m = 4.4m\)

distance covered = 4.4m x 100 = 440m

1,535.

A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price

A.

1:4

B.

1:5

C.

3:4

D.

4:5

Correct answer is D

(1 - \(\frac{20}{100}\)) = cash payment fraction= \(\frac{4}{5}\)

The ratio of the cash payment to the marked price = 4:5