Waec Mathematics 1997 Past Questions and Answers

Question 31:

• WAEC 1997

O is the centre of the circle PQRS. PR and QS intersect at T POR is a diameter, ∠PQT = 42^o and ∠QTR = 64^o; Find ∠QRT

A. 68^o
B. 64^o
C. 42^o
D. 32^o
E. 22^o.

Question 32:

• WAEC 1997

TR is the tangent to the circle PQR with centre O. Find the size of ∠PRT

A. 44^o
B. 46^o
C. 60^o
D. 74^o
E. 118^o

Question 33:

• WAEC 1997

Given that \(\frac{1}{2} \log_{10} P = 1\), find the value of P.

A. 10⁴
B. 10³
C. 10²
D. 10¹
E. 10^-1

Question 34:

• WAEC 1997

If two triangles are similar, which of the following is true? Their

A. Corresponding sides are equal
B. Corresponding angles are equal
C. Corresponding altitudes are equal
D. Areas are equal
E. Perimeters are equal

Question 35:

• WAEC 1997

Which of the following is not necessarily true of a rectangle?

A. The diagonals are equal
B. The diagonals bisect each other
C. The diagonals are perpendicular
D. Each diagonal divides the area of the rectangle equally
E. Each diagonal divides the rectangle into two congruent triangles