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.

331.

A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.

A.

5y\(^2 - 16y - 380 = 0\)

B.

5y\(^2 - 24y - 380 = 0\)

C.

5y\(^2 - 16y - 330 = 0\)

D.

5y\(^2 + 24y - 324 = 0\)

Correct answer is D

Man = x, Son = y 

x = 5y

(x + 4)(y + 4) = 350

(5y + 4)(y + 4) = 340

5y\(^2\) + 20y + 4y + 16 - 240 = 0

5y\(^2\) + 24y - 324 = 0

332.

The expression \(\frac{5x + 3}{6x (x + 1)}\) will be undefined when x equals 

A.

{0, 1}

B.

{0, -1}

C.

{-3, -11}

D.

{-3, 0}

Correct answer is B

6x(x + 1) = 0

When 6x = 0 and 

x + 1 = 0

x = 0 and x = -1

(0, -1)

333.

Find the equation of the line parallel to 2y = 3(x - 2) and passes through the point (2, 3) 

A.

y = \(\frac{2}{3} x - 3\)

B.

y = \(\frac{2}{3} x - 2\)

C.

y = \(\frac{2}{3} x\)

D.

y = \(\frac{-2}{3} x\)

Correct answer is C

2y = 3(x - 2)

\(\frac{2y}{2} = \frac{3x}{2} - \frac{6}{2}\)

y = \(\frac{3}{2}x - 3\)

m = \(\frac{3}{2}\)

\(\frac{y - y_1}{x - x_1}\) = m

\(\frac{y - 3}{x - 2} = \frac{3}{2}\)

2y - 6 = 3x - 6

\(\frac{2y}{2} = \frac{3x}{2}\) 

y = \(\frac{3}{2}\)x

334.

In the diagram, PQ // SR. Find the value of x

A.

34

B.

46

C.

57

D.

68

Correct answer is B

x + 68\(^o\)  + 246\(^o\) = 360\(^o\)

x + 314\(^o\) = 360\(^o\)

x = 360\(^o\) - 314\(^o\)

x = 46\(^o\)

335.

A solid cuboid has a length of 7 cm, a width of 5 cm, and a height of 4 cm. Calculate its total surface area.

A.

280 cm\(^2\)

B.

166 cm\(^2\)

C.

140 cm\(^2\)

D.

83 cm\(^2\)

Correct answer is B

Total = 2(LB + BH + LH) 

Surface area 

= 2(7 x 5 + 5 x 4 + 7 x 4)

= 2(35 + 20 + 28)

= 2(83) 

= 166cm\(^2\)