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.

1,306.

Simplify \(\frac{m}{n} + \frac{(m - 1)}{5n} = \frac{(m - 2)}{10n}\) where n \(\neq\) 0

A.

\(\frac{m - 3}{10n}\)

B.

\(\frac{11m}{10n}\)

C.

\(\frac{m + 1}{10n}\)

D.

\(\frac{11m + 4}{10n}\)

Correct answer is B

\(\frac{m}{n} + \frac{(m - 1)}{5n} - \frac{(m - 2)}{10n}\); \(\frac{10m + 2(m - 1) - 1(m - 2)}{10m}\)

= \(\frac{10m + 2m - 2 - m + 2}{10n}\)

= \(\frac{10m + 2m - m - 2 + 2}{10n}\)

= \(\frac{11m}{10n}\)

1,307.

The graph represents the relation y = xo2 - 3x - 3. Find the value of x for which x2 - 3x = 7

A.

-1.55, 4.44

B.

1.55, -4.55

C.

-1.55, -4.55

D.

1.55, 4.55

Correct answer is A

x2 - 3x = 7

x2 - 3x - 7 = 0

What can you add to both sides of the equation to give the same value of y = x2 - 3x - 3

The number is 4

x2 - 3x - 7 + 4 = 4

x2 - 3x - 3 = 4

but y = x2 - 3x - 3

y = 4; So are y = 4 draw a line parallel to x axis, to cut or intersect the graph. At these points look down to see the corresponding values on x axis

This give -1.55 and 4.55

1,308.

Factorize the expression: am + bn - an - bm

A.

(a - b)(m + n)

B.

(a - b)(m - n)

C.

(a + b)(m - n)

D.

(a + b)(m + n)

Correct answer is B

am + bn - an - bm am - an - bm + bn a(m - n) - b(m - n) (a - b)(m - n)

1,309.

The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi\) m\(^3\). Calculate the radius.

A.

0.46m

B.

0.60m

C.

0.87m

D.

1.80m

Correct answer is B

volume of cylinder = \(\pi r^2\)h

0.216\(\pi\) m\(^3\) = \(\pi \times r^2 \times h\)

Since r = h,

0.216 = r\(^3\)

r\(^3\) = 0.216

r = \(\sqrt[3]{0.216}\)

= 0.6

1,310.

What is the value of 3 in the number 42.7531?

A.

\(\frac{3}{10000}\)

B.

\(\frac{3}{1000}\)

C.

\(\frac{3}{100}\)

D.

\(\frac{1}{10}\)

Correct answer is B

No explanation has been provided for this answer.