WAEC Mathematics Past Questions & Answers - Page 317

1,581.
1,582.

Use mathematical table to evaluate (cos40° - sin30°)

A.

-0.2660

B.

-0.0266

C.

0.0266

D.

0.2660

E.

1.5320

Correct answer is D

(cos 40° - sin 30°)

= 0.7660 - 0.5

= 0.2660

1,583.

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.

1,584.

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° 

1,585.

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