Perimeter and Area quiz

The area of a rectangle 8 cm by 5 cm is:

The area of a parallelogram is:

The area of a triangle with base 10 cm and height 6 cm is:

The circumference of a circle of radius 7 cm (pi = 22/7) is:

The area of a circle of radius 7 cm is:

1 hectare equals:

The perimeter of a square of side 9 cm is:

1 square m equals:

A diagonal divides a parallelogram into two triangles that are:

The diameter of a circle is 21 cm. Its radius is:

Find the side of a square whose perimeter is 64 m and its area. (2 marks)

A rectangle has area 440 square m and length 22 m. Find its breadth and perimeter. (2 marks)

Find the base of a parallelogram with area 1470 square cm and height 35 cm. (2 marks)

Find the area of a right triangle whose legs are 6 cm and 8 cm. (2 marks)

Find the circumference of a circle of diameter 35 cm (pi = 22/7). (2 marks)

How many times does a wheel of radius 35 cm rotate to cover 22 m? (2 marks)

Convert 2 square m into square cm and 50000 square m into hectares. (2 marks)

A circle has area 616 square cm. Find its radius (pi = 22/7). (2 marks)

Two triangles have the same base and equal heights. Are their areas equal? Explain. (2 marks)

Find the perimeter of a semicircle of radius 7 cm, including the diameter. (2 marks)

A floor 5 m long and 4 m wide is covered by a square carpet of side 3 m. Find the area of the floor not carpeted. (3 marks)

Find the cost of polishing a circular table top of diameter 1.4 m at Rs 15 per square m (pi = 22/7). (3 marks)

A sheet of paper is 24 cm by 14 cm. A circle of radius 7 cm is cut out of it. Find the area of the remaining sheet (pi = 22/7). (3 marks)

In a parallelogram ABCD, base AB = 16 cm, the height on AB is 12 cm, and AD = 20 cm. Find the area and the height on AD. (3 marks)

A gardener wants to fence a circular garden of diameter 21 m. He wants two rounds of rope. Find the length of rope needed and its cost at Rs 4 per m. (3 marks)

Read the passage and answer the questions. A school ground is 120 m long and 80 m wide. A track 5 m wide runs inside the ground along its boundary. (i) Find the area of the ground. (ii) Find the dimensions of the inner rectangle. (iii) Find the area of the track. (5 marks)

Read the passage and answer the questions. Ravi wants to paint a triangular wall section with base 6 m and height 4 m. Paint costs Rs 25 per square m. (i) Find the area of the section. (ii) Find the cost of painting. (iii) If a parallelogram section has the same base and height, what is its area? (5 marks)

Read the passage and answer the questions. A bicycle wheel has a diameter of 70 cm. (i) Find its circumference (pi = 22/7). (ii) How far does the cycle move in 100 rotations? (iii) How many rotations are needed to cover 1.1 km? (5 marks)

Read the passage and answer the questions. A tile is a parallelogram of base 24 cm and height 10 cm. A floor is 1080 square m. (i) Find the area of one tile in square cm. (ii) Convert 1080 square m to square cm. (iii) How many tiles are needed to cover the floor? (5 marks)

Read the passage and answer the questions. A rectangular lawn 60 m by 40 m has two cross paths 3 m wide through its centre, parallel to the sides. (i) Find the area of the path parallel to the length. (ii) Find the area of the path parallel to the breadth. (iii) Find the total path area, subtracting the overlap. (5 marks)

Draw a parallelogram and a triangle on the same base 8 cm with height 5 cm. Find their areas and show that the area of the triangle is half the area of the parallelogram. (6 marks)

Explain an activity to find the relation between circumference and diameter using circular objects and a thread. Record readings for three objects in sentences and explain how the ratio gives pi. (6 marks)

A rectangular park 100 m by 80 m has a 5 m wide path all around outside it. Draw a labelled figure. Find the area of the path and the cost of gravelling it at Rs 20 per square m. (6 marks)

Find the area of the shaded region: a square of side 14 cm with a circle of radius 7 cm inscribed in it. Also find the area of the region between a circle of radius 21 cm and a concentric circle of radius 14 cm. Draw both figures. (6 marks)

Draw a right triangle ABC with angle B = 90 degrees, AB = 5 cm, BC = 12 cm and AC = 13 cm. Find its area. Draw the altitude BD from B to AC and find its length correct to one decimal place. (6 marks)