Waec Mathematics Past Questions and Answers

Question 311:

• WAEC 1993

Calculate the total surface area of a cone of height 12cm and base radius 5cm. [Take π = 22/7]

A. 180 5/7cm²
B. 240 2/7cm²
C. 235 5/7cm²
D. 282 6/7cm²
E. 361 3/7cm²

Question 312:

• WAEC 1993

A cone is 14cm deep and the base radius is 41/2cm. Calculate the volume of water that is exactly half the volume of the cone.[Take π = 22/7]

A. 49.5cm³
B. 99cm³
C. 148.5cm³
D. 297cm³
E. 445.5cm³

Question 313:

• WAEC 1993

The area and a diagonal of a rhombus are 60 cm\(^2\) and 12 cm respectively. Calculate the length of the other diagonal.

A. 5cm
B. 6cm
C. 10cm
D. 12cm
E. 15cm

Question 314:

• WAEC 1993

The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter of the sector [Take π = 22/7]

A. 22cm
B. 33.5cm
C. 43cm
D. 66cm
E. 115.5cm

Question 315:

• WAEC 1993

In the diagram, PQR is a tangent to the circle QST at Q. If |QT| = |ST| and ∠SQR = 68°, find ∠PQT.

A. 34^o
B. 48^o
C. 56^o
D. 68^o
E. 73^o