Level 3 PSLE
In the figure not drawn to scale, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 3 : 1.
- What fraction of square ACEG is shaded?
- If the length of the square is 96 cm, find the unshaded area in cm2.
Level 3 PSLE
In the figure not drawn to scale, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 3 : 1.
- What fraction of square ACEG is shaded?
- If the length of the square is 96 cm, find the unshaded area in cm2.
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Level 2
A chain is wrapped round two wheels which has a diameter of 8 m. Line AB is 12 m. Find the length of the chain. (Take π = 3.14)
Level 2
A chain is wrapped round two wheels which has a diameter of 8 m. Line AB is 12 m. Find the length of the chain. (Take π = 3.14)
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Level 2 PSLE
The average height of a group of children was 139.4 cm.
When Mr Tan measured and recorded the height of these children, he wrongly recorded one child's height as 181 cm when it should have been 118 cm. As a result, Mr Tan calculated the average height as 142.4 cm. How many children were there in the group?
2 m
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Level 2
5 identical quarter circles were cut out from a square cardboard of length 18 cm. Find the area of the 5 quarter circles. Leave the answer in terms of π.
Level 2
5 identical quarter circles were cut out from a square cardboard of length 18 cm. Find the area of the 5 quarter circles. Leave the answer in terms of π.
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Level 3 PSLE
Mark pushes two poles, A and B, straight into the ground until the length of each stick that is above the ground is the same.
13 of A and 18 of B are in the ground. The length of A in the ground is 30 cm longer than the length of B in the ground. What is the total length of poles A and B?
Level 3 PSLE
Mark pushes two poles, A and B, straight into the ground until the length of each stick that is above the ground is the same.
13 of A and 18 of B are in the ground. The length of A in the ground is 30 cm longer than the length of B in the ground. What is the total length of poles A and B?
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Level 2 PSLE
A plank of length 6.3 m was cut into three pieces. The first piece was thrice as long as the second piece. The second piece was 2 times as long as the third piece. How long was the second piece?
2 m
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Level 2 PSLE
The shaded figure is formed using 3 squares and 3 equilateral triangles. The length of the straight line PQ is 15 cm. Find the perimeter of the shaded figure.
Level 2 PSLE
The shaded figure is formed using 3 squares and 3 equilateral triangles. The length of the straight line PQ is 15 cm. Find the perimeter of the shaded figure.
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Level 2
The figure is formed by 5 identical squares with 3 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Leave the answer in terms of π.
Level 2
The figure is formed by 5 identical squares with 3 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Leave the answer in terms of π.
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Level 3 PSLE
Victoria hung some identical oval rings vertically. The thickness of each oval ring was 1 cm. The figure shows how the oval rings are connected.
- What was the distance from the top of the 1st oval ring to the bottom of the 3rd oval ring?
- The distance from the top of the 1st ring to the bottom of the last ring was 177 cm. How many oval rings did Victoria hang altogether?
Level 3 PSLE
Victoria hung some identical oval rings vertically. The thickness of each oval ring was 1 cm. The figure shows how the oval rings are connected.
- What was the distance from the top of the 1st oval ring to the bottom of the 3rd oval ring?
- The distance from the top of the 1st ring to the bottom of the last ring was 177 cm. How many oval rings did Victoria hang altogether?
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Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
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Level 3 PSLE
Figure 1 is a trapezium with a perimeter of 18 cm. Figure 2 is made up of four such trapeziums. The perimeter of Figure 2 is 48 cm. What is the length of the side GH of the trapezium?
Level 3 PSLE
Figure 1 is a trapezium with a perimeter of 18 cm. Figure 2 is made up of four such trapeziums. The perimeter of Figure 2 is 48 cm. What is the length of the side GH of the trapezium?
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Level 2 PSLE
In the figure, ABDF and BCEF are rectangles and CDE is a straight line. AB = 6 cm, AF = 8 cm and BF = 10 cm. Find the length of BC.
Level 2 PSLE
In the figure, ABDF and BCEF are rectangles and CDE is a straight line. AB = 6 cm, AF = 8 cm and BF = 10 cm. Find the length of BC.
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Level 3
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up 34 of the tank. What is the height of the tank? Correct the answer to 1 decimal place.
3 m
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Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
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Level 2
The figure is made up of a rectangle and 2 quadrants. If the length of the rectangle is 16 m and the breadth of the rectangle is 8 m, find the area of the shaded area. (Take π as 3.14)
Level 2
The figure is made up of a rectangle and 2 quadrants. If the length of the rectangle is 16 m and the breadth of the rectangle is 8 m, find the area of the shaded area. (Take π as 3.14)
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Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
- Find the area of the shaded face.
- Find the volume of the cube.
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
- Find the area of the shaded face.
- Find the volume of the cube.
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Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm.
After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm.
After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
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Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
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Level 3 PSLE
All 22 children were assigned to welcome visitors to a kindergarten function. They were to line up in a row from one end to the other end at an equal spacing of 1.2 m apart. On the day of the function, 7 of the children did not turn up. As a result, the remaining children had to line up from one end to the other end of the corridor at a new equal spacing. What was the new spacing between 2 children? Express the answer in metres.
4 m
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Level 2 PSLE
The shaded figure is formed by two identical circles with centres at A and C. ABCD is a square and the length of AB is 7 cm. Find the perimeter of the shaded figure. (Take π = 227)
Level 2 PSLE
The shaded figure is formed by two identical circles with centres at A and C. ABCD is a square and the length of AB is 7 cm. Find the perimeter of the shaded figure. (Take π = 227)
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