WAEC Past Questions and Answers - Page 2428

12,136.

In the diagram, PR is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of < STR

A.

24\(^o\)

B.

42\(^o\)

C.

48\(^o\)

D.

66\(^o\)

Correct answer is A

RSP = 90 < substance in semi a circle

RPS = 180 - (90 + 24)

= 180 - (114)

= 66

TPS = 180 - 66

= 114

RST = 24

< STR = 180 - (114 + 24)

= 180 - 138

= 42\(^o\)

12,137.

The graph of y = \(ax^2 + bx + c\) is shown oon the diagram. Find the minimum value of y

A.

-2, 0

B.

-2, 1

C.

-2, 3

D.

-2, 5

Correct answer is B

No explanation has been provided for this answer.

12,138.

Find the value of m in the diagram

A.

72\(^o\)

B.

68\(^o\)

C.

44\(^o\)

D.

34\(^o\)

Correct answer is C

2x + m = 180

x + m = 112

x = 122 - m

2(112 - m) + m = 180

224 - 2m + m = 180

224 - m = 180

224 - 180 = m

m = 44\(^o\)

12,139.

The diagonal of a square is 60 cm. Calculate its peremeter

A.

20\(\sqrt{2}\)

B.

40\(\sqrt{2}\)

C.

90\(\sqrt{2}\)

D.

120\(\sqrt{2}\)

Correct answer is D

\(60^2 + x^2 + x^2\)

\(360^2 = 2x^2\)

\(x^2\) = 1800

x = \(\sqrt{1800}\)

x = 42.4264

x = 42.4264

perimeter = 4x

= 4 x 42.4264

= 169.7056

= 120\(\sqrt{2}\)

= 120\(\sqrt{2}\)