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.

3,331.

Solve the simultaneous equations y = 3x; 4y - 5x =14

A.

-2,-6

B.

2,6

C.

2,-6

D.

-2,6

E.

-1,-3

Correct answer is B

y = 3x  ... (i);

4y - 5x =14  ... (ii)

Put 3x for y in (ii).

4(3x) - 5x = 14

12x - 5x = 14

7x = 14 ⟹⟹ x = 2.

y = 3x = 3(2) = 6

(x, y) = (2, 6)

3,332.

Factorize 2x\(^2\) - 21x + 45

A.

(2x - 9)(x - 5)

B.

(2x-15)(x + 3)

C.

(2x +15)(x - 3)

D.

(2x -15(x - 3)

E.

(2x - 9)(x + 5)

Correct answer is D

2x\(^2\) - 21x + 45

= 2x\(^2\) - 15x - 6x + 45

= x(2x - 15) - 3(2x - 15)

= (x - 3)(2x - 15)

3,333.

Write as a single fraction: \(\frac{5}{6r} - \frac{3}{4r}\)

A.

r/12

B.

12/r

C.

1/6r

D.

r/6

E.

1/12r

Correct answer is E

\(\frac{5}{6r} - \frac{3}{4r}\)

= \(\frac{10 - 9}{12r}\)

= \(\frac{1}{12r}\)

3,334.

Solve the equation x\(^2\) - 2x - 3 = 0

A.

(-3, 1)

B.

(-1, -3)

C.

(3,1)

D.

(43, 0)

E.

(-1, 3).

Correct answer is E

x\(^2\) - 2x - 3 = 0

x\(^2\) - 3x + x - 3 = 0

x(x - 3) + 1(x - 3) = 0

(x + 1)(x - 3) = 0

x = (-1, 3)

3,335.

Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).

A.

(2s - t)(s + 2t)

B.

(2s + t)(s - 2t)

C.

(s + t)(2s - 1)

D.

(2s + t)(s -t)

E.

(2s + t)(s + 2t)

Correct answer is B

2s\(^2\) - 3st - 2t\(^2\)

= 2s\(^2\) - 4st + st - 2t\(^2\)

= 2s(s - 2t) + t(s - 2t)

= (2s + t)(s - 2t)