WAEC Past Questions and Answers - Page 4205

21,021.

Which of the sketches above gives a correct method for constructing an angle of 120o at the point P?

A.

I only

B.

II only

C.

III only

D.

I and II only

E.

I, II and III

Correct answer is D

No explanation has been provided for this answer.

21,022.

In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ∠BTO. Find x.

A.

20o

B.

30o

C.

35o

D.

40o

E.

50o

Correct answer is E

From the figure < TAB = < BTQ = 40° (alternate segment)

\(\therefore\)< ATB = 180° - (70° + 40°) = 70° (angle on a straight line)

< BTC = \(\frac{40°}{2} = \frac{< BTQ}{2}\)

\(\therefore < BTQ = 40°\)

x° = 180° - (40° + 70° + 20°) 

= 50° 

21,023.

In the diagram below, O is the center of the circle if ∠QOR = 290o, find the size ∠QPR

A.

110o

B.

70o

C.

55o

D.

35o

E.

20o

Correct answer is D

360o - 290o = 70o
70/2 = 35o

21,024.

In the diagram above, PQRS is a cyclic quadrilateral, ∠PSR = 86o and ∠QPR = 38o. Calculate PRQ

A.

58o

B.

53o

C.

48o

D.

43o

E.

38o

Correct answer is C

PQR = 180o - 86o = 94o
∴PRQ = 180o - 94o - 36o = 48o

21,025.

Which triangle is equal in area to ΔVWZ

A.

ΔVXZ

B.

ΔVYZ

C.

ΔXYV

D.

ΔWYV

E.

ΔWYZ

Correct answer is B

Area of \(\Delta\) VYZ = Area of \(\Delta\) VWZ (same base and within same parallel)