WAEC Mathematics Past Questions & Answers - Page 119

591.

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

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

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

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

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

592.

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

593.

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)

594.

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

595.

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.