Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
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Level 3
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it.
Level 3
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it.
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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.
Image in this question is not available.
Level 2
The figure is made up of a circle and a square, KLMO of area 25 cm2. K is the centre of the circle. Calculate the total shaded area of the figure. (Take π = 3.14)
Level 2
The figure is made up of a circle and a square, KLMO of area 25 cm2. K is the centre of the circle. Calculate the total shaded area of the figure. (Take π = 3.14)
Image in this question is not available.
Level 2
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 169 cm2.
Find the area of the shaded parts. (Take π = 3.14)
Level 2
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 169 cm2.
Find the area of the shaded parts. (Take π = 3.14)
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Level 2
The figure is formed by 2 semicircles, 2 identical quarter circles and a square ABCD. The perimeter of square ABCD is 60 cm. What is the total area of the shaded parts? Express the answer in the nearest whole number. (Take π = 3.14)
Level 2
The figure is formed by 2 semicircles, 2 identical quarter circles and a square ABCD. The perimeter of square ABCD is 60 cm. What is the total area of the shaded parts? Express the answer in the nearest whole number. (Take π = 3.14)
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Level 3
The figure shows a series of steps built using square cubes. The n number of steps is given by x -step.
- How many square cubes were used if n is 5?
- How many square cubes were used if n is 40?
- Find the number of steps if a total of 144 square cubes are used.
Level 3
The figure shows a series of steps built using square cubes. The n number of steps is given by x -step.
- How many square cubes were used if n is 5?
- How many square cubes were used if n is 40?
- Find the number of steps if a total of 144 square cubes are used.
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Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
- Find the number of tiles at the bottom layer in the 29th pattern
- Find the total number of tiles in Pattern 50.
Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
- Find the number of tiles at the bottom layer in the 29th pattern
- Find the total number of tiles in Pattern 50.
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Level 2
A container, which is 10 cm long, 9 cm wide and 7.55 cm deep, holds 1510 g of sugar. If 4.95 kg of the same sugar is packed into a tin with a 15-cm square base, how tall must the tin be?
3 m
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Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.
Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.
Image in this question is not available.
