Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the
ratio of the shaded area to the area of the smallest circle?
Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the
ratio of the shaded area to the area of the smallest circle?
Image in this question is not available.
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Image in this question is not available.
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)
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)
Image in this question is not available.
Level 2
In the figure, the ratio of the area of Circle X to Circle Y to Circle Z is 2 : 3 : 9. If 13 of X is shaded, what is the ratio of the shaded part to the unshaded part to the total figure?
Level 2
In the figure, the ratio of the area of Circle X to Circle Y to Circle Z is 2 : 3 : 9. If 13 of X is shaded, what is the ratio of the shaded part to the unshaded part to the total figure?
Image in this question is not available.
Level 2
What is the missing number in the circle?
Level 2
What is the missing number in the circle?
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Level 3
In the figure, not drawn to scale, A and B are the centres of both circles respectively. Find ∠x.
Level 3
In the figure, not drawn to scale, A and B are the centres of both circles respectively. Find ∠x.
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Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
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Level 3
The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.
Level 3
The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.
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Level 3
James formed some figures using squares and circles as shown
- Find the number of squares in Figure 6.
- Find the total number of circles and squares in Figure 10.
- A figure in the pattern has a total of 6481 circles and squares. What is the Figure Number?
Level 3
James formed some figures using squares and circles as shown
- Find the number of squares in Figure 6.
- Find the total number of circles and squares in Figure 10.
- A figure in the pattern has a total of 6481 circles and squares. What is the Figure Number?
Image in this question is not available.
Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find
- ∠x
- ∠y.
Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find
- ∠x
- ∠y.
Image in this question is not available.
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.
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.
Image in this question is not available.
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.
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.
Image in this question is not available.
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)
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)
Image in this question is not available.
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)
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)
Image in this question is not available.
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.
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.
Image in this question is not available.
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)
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)
Image in this question is not available.
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)
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)
Image in this question is not available.
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
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
Image in this question is not available.
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)
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)
Image in this question is not available.
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
Image in this question is not available.
