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.

576.

The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?

A.

1 : 4

B.

1 : 5

C.

2 : 5

D.

5 : 2

Correct answer is C

Tunde: Ola \(\to\) 1 : 2 ; Ola; Musa \(\to\) 4 : 5

\(\frac{1}{2}\) x \(\frac{4}{5}\)

= \(\frac{2}{5}\)

577.

Evaluate \(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\)

A.

\(\frac{14}{15}\)

B.

\(\frac{13}{15}\)

C.

\(\frac{4}{5}\)

D.

\(\frac{11}{15}\)

Correct answer is B

\(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\) = \(\frac{\frac{26}{5}}{\frac{18}{3}}\) = \(\frac{26}{5} \div \frac{18}{3}\)

= \(\frac{13}{15}\)

578.

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

A.

x \(\alpha\) z

B.

x \(\alpha\) \(\frac{1}{z}\)

C.

a \(\alpha\) z\(^2\)

D.

x \(\alpha\) \(\frac{1}{z^2}\)

Correct answer is B

\(x \propto \frac{1}{y}\), y \(\propto\) z

x = \(\frac{k}{y}\)

y = mz

Since y = mz,

x = \(\frac{k}{mz}\), where k and m are constants. Hence,

x \(\propto\) \(\frac{1}{z}\)

579.

Express 0.0000407, correct to 2 significant figures

A.

0.0

B.

0.00004

C.

0.000041

D.

0.0000407

Correct answer is C

0.0000407 to 2 s.f 0.000041 (2 s.f)

580.

The graph of y = x\(^2\) and y = x intersect at which of these points?

A.

(0,0), (1,1)

B.

(0,0), (0,1)

C.

(1, 0), (0, 0)

D.

(0, 0) (0, 0)

Correct answer is A

y = x\(^2\) ....(1)

y = x ......(2)

y = y

x\(^2\) - x

x\(^2\) - x = 0

x(x - 1) = 0

x = 0 or x - 1 = 0

x = 0 or x = 1

when x = 0, y = 0\(^2\) = 0

when x = 1, y = 1\(^2\) = 1

Hence; the two graphs interest at (0, 0) and (1, 1)