WAEC Mathematics Past Questions & Answers - Page 47

231.

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\(^o\)

232.

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\(\sqrt{2}\)

234.

In the diagram, NQ//TS, <RTS = 50\(^o\) and <PRT = 100\(^o\). Find the value of <NPR

A.

110\(^o\)

B.

130\(^o\)

C.

140\(^o\)

D.

150\(^o\)

Correct answer is B

< TSR = 180 - (80 + 50)

= 180 - (130)

= 50\(^o\)

< QPR = < TSR corresponding < s

< NPR + QPR = < NPR

180\(^o\) - < QPR = < NPR

180\(^o\) - 50 = < NPR

< NPR = 130\(^o\)

235.

In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.

A.

\(\frac{2}{9}\)

B.

\(\frac{4}{9}\)

C.

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

D.

\(\frac{7}{9}\)

Correct answer is B

28 - x + x + 25 - x = 45

53 - x = 45

x = 53 - 45

x = 8

chemistry only = 28 - 8

= 20

Probability = \(\frac{20}{45}\)

= \(\frac{4}{9}\)