WAEC Mathematics Past Questions & Answers - Page 65

321.

Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div  4 \frac{3}{8}\)

A.

\(\frac{5}{9}\)

B.

1\(\frac{1}{5}\)

C.

1\(\frac{1}{4}\)

D.

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

Correct answer is D

2\(\frac{1}{4} \times 3\frac{1}{2} \div  4 \frac{3}{8}\)

= \(\frac{9}{4} \times \frac{7}{2} \div \frac{35}{8}\)

= \(\frac{9}{4} \times \frac{7}{2} \div \frac{8}{35}\)

= \(\frac{9}{5}\)

= 1 \(\frac{4}{5}\)

322.

Find the value of x for which \(32_{four} = 22_x\)

A.

three

B.

five

C.

six

D.

seven

Correct answer is C

\(32_4 = 22_x\)

\(3 \times 4^1 + 2 \times 4^o\) = \(2 \times x^1 + 2 \times x^o\)

12 + 2 x 1 = 2x + 2 x 1

14 = 2x + 2

14 - 2 = 2x

12 = 2x

x = \(\frac{12}{2}\)

x = 6

323.

Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)

A.

121

B.

144

C.

169

D.

196

Correct answer is C

\([64^{\frac{1}{2}} + 125^{\frac{1}{3}}]^2\) = \([\sqrt{64} + \sqrt[3] {125}]^2\) 

\([8 + 5]^2\) = \([13]^2\)

= 169


 

324.

From the diagram, which of the following is true?

A.

m + n + p = 180o

B.

m + n = 180o

C.

m = p + n

D.

n = m + p

Correct answer is D

In the diagram, \(\beta\) = p(vertically opposite angles)

m + \(\beta\) = n(sum of interior opp. angles)

m + p = n

325.

An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50o, find, correct to 2 decimal places, the height of the mast.

A.

8.60m

B.

7.83m

C.

7.51m

D.

7.15m

Correct answer is D

In the diagram give, \(\alpha\) 50o(alternative angles)

tan\(\alpha\) = \(\frac{h}{6}\)

h = 6tan\(\alpha\)

= 6tan 50o

= 6 x 1.1918

= 7.1508

= 7.15m (2d.p)