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.

1,506.

If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?

A.

3

B.

4

C.

5

D.

6

Correct answer is A

loga270 - loga10 + loga\(\frac{1}{3}\) = 2

loga270 + loga\(\frac{1}{3}\) - loga10 = 2

loga(270\(\frac{\frac{1}{3}}{10}\)) = 2

loga9 = 2

aa = 9

a = \(\sqrt{9}\) = 3

1,507.

Which of these equations best describes the points of intersection of the curve and the line?

A.

\(x^2 + 5x - 6 = 0\)

B.

x2 - 5x - 6 = 0

C.

x2 + x - 6 = 0

D.

x2 - x - 6 = 0

Correct answer is C

The roots are -3 and 1

x = -3 and x = 1

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

= x2 - x + 3x - 3

y = x2 + x - 6 = 0

1,508.

If x + y = 12 and 3x - y = 20, find the value of 2x - y

A.

8

B.

10

C.

12

D.

15

Correct answer is C

x + y = 12 + 3x - y = 20 --------------- 4x = 32 x = 8 x + y = 12; 8 + y = 12; y = 12 - 8 = 4 2x - y = 2(8) - 4; 16 - 4 = 12

1,509.

If 2x + y = 10, and y \(\neq\) 0, which of the following is not a possible value of x?

A.

4

B.

5

C.

8

D.

10

Correct answer is B

The value for which the equation is impossible

2x = 10 (if y = 0)

x = 5

1,510.

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

A.

N16,200

B.

N1,4,200

C.

12,000

D.

8000

Correct answer is A

D = P(I - \(\frac{R}{100}\))n where P = N20,000; R = 10%, n = 2

D = 20,000(I - \(\frac{10}{100}\))2

= 20000(0.9)2

20,000 x 0.81 = N16,200