Waec Mathematics 1989 Past Questions and Answers

Question 41:

• WAEC 1989

Calculate and correct to three significant figures, the length of an arc subtends an angle of 70^o at the center of the circle radius 4cm. [Take π = 22/7]

A. 2.44cm
B. 4.89cm
C. 9.78cm
D. 25.1cm
E. 50.3cm

Question 42:

• WAEC 1989

In the diagram above, O is the center of the circle. If ∠POR = 114^o, calculate ∠PQR

A. 123^o
B. 118.5^o
C. 117^o
D. 114^o
E. 54^o

Question 43:

• WAEC 1989

The angle of depression of a point on the ground from the top of a building is 20.3^o. If the foot of the building is 40m, calculate the height of the building, correct to one decimal place

A. 37.5m
B. 28.1m
C. 27.8m
D. 14.8m
E. 13.9m

Question 44:

• WAEC 1989

Solve for x: (x² + 2x + 1) = 25

A. -6, -4
B. 6, -4
C. 6, 4
D. -6, 4
E. 5, 5

Question 45:

• WAEC 1989

Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?

A. P = 5xq
B. P = 6xq
C. P = x² + q³
D. P = 2x + 3q
E. P = x²q³