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
The figure is formed by a circle and an isosceles triangle XYZ. The diameter of the circle is 56 cm. Find the difference in area between the two shaded parts. (Take π = 227)
3 m
Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 16 cm2. Find the area of the shaded part. (Take π = 3.14)
3 m
Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
3 m
Level 3
The figure is not drawn to scale. It is made up of 2 concentric circles. O is the centre of the circles. OA is 7cm and OF is 5cm. OA, OB, OC, OD and OE cut the circles into 5 identical parts. Find the area of the shaded part. (Take π = 3.14)
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 is not drawn to scale. It has 4 big semicircles with diameter 100 cm each and 5 small semicircles with diameter 48 cm. What is the area of the shaded figure? Take π = 3.14
3 m
Level 3
The figure shown is formed by cutting out three identical quadrants from three identical squares. Find the area of the figure. (Take π = 227)
3 m
Level 3
In the figure, O is the centre of the circle and OXYZ is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m