WAEC Mathematics Past Questions & Answers - Page 196

976.

Calculate the value of y in the diagram

A.

17

B.

34

C.

44

D.

45

Correct answer is A

Sum of interior angle of the diagram equals 360o
180o - 5yo + 136o + 180o + 180o - 3yo = 360o
-8yo + 136o = 0
-8yo = -136; y = 17

977.

The four interior angles of a quadrilateral are (x + 20) o, (x+ 10) o (2x - 45) o and (x - 25) o. Find the value of x

A.

60

B.

80

C.

100

D.

360

Correct answer is B

Sum of interior angles in a quadrilateral is 360
(x + 20)o + (x+ 10)o + (2x - 45)o + (x - 25)o = 360o
5xo - 40o = 360o
x = 400/5 = 80o

978.

What is the size of angle x in the diagram

A.

15o

B.

30o

C.

45o

D.

60o

Correct answer is B

\(Sin\theta^{\circ} = \frac{opp}{hyp}\\
Sin X^{\circ}=\frac{5}{10}=0.5000\\SinX^{\circ}\\
X^{\circ} = sin^{-1}0.5000\\
X^{\circ}=30^{\circ}\)

979.

A ladder, 6m long, leans against a vertical wall at an angle 53o to the horizontal. How high up the wall does the ladder reach?

A.

3.611m

B.

4.521m

C.

4.792m

D.

7.962m

Correct answer is C

Sin 53 = \(\frac {h}{6} \)
h = 6 sin 53 = 6 x 0.7986
= 4.792m

980.

Given, that \(4P4_5 = 119_{10}\), find the value of P

A.

1

B.

2

C.

3

D.

4

Correct answer is C

\(4P4_5 = 119_{10}\)

\(4 \times 5^2 + P \times 5^1 + 4 \times 5^0 = 119\)

\(100 + 5P + 4 = 119\)

\(5P = 119 - 104 = 15\)

\(P = 3\)