Waec Mathematics 1994 Past Questions and Answers

Question 31:

• WAEC 1994

Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].

A. 2.3cm
B. 4.6cm
C. 8cm
D. 16cm
E. 110cm

Question 32:

• WAEC 1994

A circle has radius x cm. What is the area of a sector of the circle with angle 135°, leaving the answer in terms of x and π?

A. \( \frac{\pi x^2}{8} \)
B. \( \frac{3\pi x^2}{8} \)
C. \( \frac{5\pi x^2}{8} \)
D. \( \frac{3\pi x}{8} \)

Question 33:

• WAEC 1994

In the diagram, PQRS is a trapezium with PQ||SR. STR is a straight line, PSHQT, PTHQR. If |PQ| = 12cm and the height of the trapezium is 9cm, find its area.

A. 96cm²
B. 108cm²
C. 135cm²
D. 162cm²
E. 216cm²

Question 34:

• WAEC 1994

Two solid spheres have volumes 250cm^o and 128cm^o respectively. Find the ratio of their radii.

A. 125:64
B. 25:16
C. 2:1
D. 4:3
E. 5:4

Question 35:

• WAEC 1994

In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|

A. 7cm
B. 8cm
C. 8 2/3cm
D. 10cm
E. 10 2/3cm