Mathematics Past Questions and Answers

A sector of a circle radius 14 cm subtends an angle 135° at the center of the circle. What is the perimeter of the sector? Take \(\pi = \frac{22}{7}\)

A 47cm
B 61cm
C 88cm
D 231cm

Question 767:

In the diagram, MN||PQ, |LM| = 3cm and |LP| = 4cm. If the area of ∆LMN is 18cm², find the area of the quadrilateral MPQN

A 3cm²
B 6cm²
C 14cm²
D 24cm²

Question 768:

The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the area of the cross-section?

A 4 cm²
B 6cm²
C 15cm²
D 20cm²

Question 769:

The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the volume of the prism?

A 28cm²
B 42cm²
C 70cm²
D 84cm²

Question 770:

A solid cylinder of radius 7cm is 10 cm long. Find its total surface area.

A \(70\pi cm^2\)
B \(189\pi cm^2\)
C \(210\pi cm^2\)
D \(238\pi cm^2\)