Level 2
The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π = 227)
2 m
Level 2
The figure is made up of 4 identical circles where W, X, Y and Z are the centres of the circles. Each circle has a radius of 7 cm. Find the area of the shaded region. (Take π = 227)
2 m
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure? (Take π = 227)
4 m
Level 3
In the diagram shown, 23 identical rubber balls were placed between two walls with equally spaced gaps between them. The first rubber ball and the last rubber ball were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a rubber ball was 7 cm. Find the length of the gap between any two adjacent rubber balls as shown.
3 m
Level 3
Tom built a car using two identical wheels of radius 2.9 cm each as shown. The distance between the centres of the two wheels is 59.2 cm. He rolled the car from one end of the room to the other end touching walls at both ends. The distance between the two walls is 11.2 m. How many complete revolutions did each wheel make? Take π = 3.14.
3 m
Level 3
One part of a car wheel was stained with paint on its surface. The diagram showed the tyre marks made by the car wheel when the vehicle moved through a certain distance. Find the radius of the car wheel. Round off the answer to 2 decimal place. (Take π = 227)
3 m
Level 3
A garden path is to be cemented at $14 per m?. The inner circle has a radius of 60 m and the track is 30 m wide. What is the cost of cementing the track? Round off the answer to the nearest $1000. (Take π = 3.14)
3 m
Level 3
The figure shows 2 quarter circles and a rectangle. The radius of the big quarter circle is 10 cm. The radius of the small quarter circle is 5 cm. Find the difference in area between the two shaded parts P and Q. (Take π = 3.14 and give the answer correct to 1 decimal place) Answer: 5.7 cm2
3 m
Level 3
The figure consists of a rectangle, a quadrant and an isosceles triangle. Given that the radius of the quadrant is 10 cm and B is the midpoint of Line AC, find the difference between the shaded areas Y and Z. Express the answer in nearest whole number. (Take π = 3.14)
3 m
Level 3
The figure shows two identical semi-circles. XY is a straight line. X and Y are the centres of the semi-circles. Given that the radius of the semi-circle is 10 cm, find the area of the shaded regions. Express the answer correct to 1 decimal place. (Take π = 3.14)
3 m