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WAEC Mathematics Past Questions & Answers - Page 331

1,651.

In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR.

A.

14o

B.

28o

C.

31o

D.

45o

E.

90o

Correct answer is B

< QSR = 90° (angle in a semi-circle)

< SQR = 180° - (90° + 62°)

= 28°

1,652.

In the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. |QR| = 6cm and the area of triangle QST is 52cm2. Find the area of ΔQPT

A.

39cm2

B.

28cm2

C.

24cm2

D.

21cm2

E.

19cm2

Correct answer is B

Area of \DeltaQST = 52cm^2; height = 8cm
b=base length; but A = 1/2 b x h
=52=1/2 x b x 8cm = 104 =8b
b=104/8 = 13cm; ST= 13cm; PS = 6cm
TP = 13 - 6 = 7cm;
area of \DeltaQST = 1/2 b x h
= 1/2 x 7 x 8/1 = 28cm^2

1,653.

If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms?

A.

28

B.

40

C.

48

D.

60

E.

68

Correct answer is D

ar = 8 .....(1)


ar3 = 32 .....(2)


divide (2) by (1)

r2 = 4 r = 2 ∴ a = 4



S =
a(rn - 1)/r - 1


S =
4(24 - 1)/2 - 1
= 60

1,654.

If 3loga + 5loga - 6loga = log64, what is a?

A.

4

B.

6

C.

8

D.

16

E.

32

Correct answer is C

loga3 + loga5 - loga6

log(
a3 * a5/a6
) = loga64


a2 = 64 a = 8

1,655.

The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname


If more than one surname begins with a letter besides A and O, how may surnames begin with that letter

A.

2

B.

3

C.

4

D.

5

E.

6

Correct answer is E

14 of the letters of the alphabet do not appear as the first letter of surname
∴ the no. of letters that appeared = 26-14 = 12 alphabets
15 surnames begin with 10 letters beside O and A
∴ 6 surnames begin with a letter