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WAEC Mathematics Past Questions & Answers - Page 65

321.

Simplify; 214×312÷438

A.

59

B.

115

C.

114

D.

145

Correct answer is D

214×312÷438

= 94×72÷358

= 94×72÷835

= 95

= 1 45

322.

Find the value of x for which 32four=22x

A.

three

B.

five

C.

six

D.

seven

Correct answer is C

324=22x

3×41+2×4o = 2×x1+2×xo

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

14 = 2x + 2

14 - 2 = 2x

12 = 2x

x = 122

x = 6

323.

Evaluate: (6412+12513)2

A.

121

B.

144

C.

169

D.

196

Correct answer is C

[6412+12513]2 = [64+3125]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, β = p(vertically opposite angles)

m + β = 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, α 50o(alternative angles)

tanα = h6

h = 6tanα

= 6tan 50o

= 6 x 1.1918

= 7.1508

= 7.15m (2d.p)