Level 1
A number X with 2 decimal places is added to 12.02. The answer is 15 when it is rounded off to a whole number. What is the largest possible number for X?
Level 3
Lisa's and Natalie's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandfather's gift equally. Lisa's remaining savings was 14 as much as Natalie's savings. What percentage of her savings did Lisa spend? Correct the answer to 1 decimal place.
Level 2
The figure is made up of 3 rectangles and 3 semi-circles. Find the perimeter of the figure. (Take π = 227) Round off the answer to the nearest whole number.
Level 2
The figure is made up of 3 rectangles and 3 semi-circles. Find the perimeter of the figure. (Take π = 227) Round off the answer to the nearest whole number.
Level 3
The ratio of Henry's total points to that of Vincent's in a mock test was 6 : 7. In the next mock test, Henry's points increased by 70%. By what percentage must Vincent's points be increased if their total points were to be the same? Round off the answer to the nearest whole number.
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.
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.
Level 2
Madam Devi spent less than $120. She already bought a toy helicopter at $20.10. She tried to use up all her money and bought another two items.
Name the two items. Give your answers in letters. (Eg a, b)
What was the total cost for the two items?
Level 2
Madam Devi spent less than $120. She already bought a toy helicopter at $20.10. She tried to use up all her money and bought another two items.
Name the two items. Give your answers in letters. (Eg a, b)
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)
Level 3
Figure 1 shows a closed rectangular tank of dimensions 40 cm by 40 cm by 80 cm with a cube of edge 20 cm glued to its bottom left corner. The tank contains 70 litres of water. Figure 2 shows the same rectangular tank lying on its side. Find the height of the water level, in centimetres, corrected to 2 decimal places.
Level 3
Figure 1 shows a closed rectangular tank of dimensions 40 cm by 40 cm by 80 cm with a cube of edge 20 cm glued to its bottom left corner. The tank contains 70 litres of water. Figure 2 shows the same rectangular tank lying on its side. Find the height of the water level, in centimetres, corrected to 2 decimal places.
Level 3
One avocado cost 4 times as much as one honeydew. Mrs Zhang bought 2 avocados and 4 honeydews for $15. How much would 20 avocados and 16 honeydews cost? Express the answers to 2 decimal places.
Level 3
It takes Faucet A 30 minutes to fill a tank measuring 12 cm by 10 cm by 22 cm completely while it takes Faucet B only 25 minutes. How long will it take to completely fill the tank with water if both the faucets are turned on at the same time? Leave the answer in minutes and round off to 2 decimal places.
Level 3
A rectangular tank measuring 60 cm by 50 cm by 25 cm was to be filled with water by two taps, A and B. Tap A which fills the tank at a rate of 8ℓ per minute was first turned on for 5 minutes before Tap B was turned on as well. If the tank was filled to the brim in a total of 7 minutes from the time when Tap A was first turned on, what is the rate at which Tap B fills the tank? Give the answer in ℓ per minute correct to 1 decimal place.
Level 3
An empty rectangular tank has a capacity of 90ℓ and a height of 50 cm. At 10 am, Tap A is turned on to fill the tank at a rate of 4ℓ per minute for 15 minutes. After 5 minutes, Tap B is turned on to drain water from the tank at a rate of 2ℓ per minute for 18 minutes. What is the height of the water level in the tank in the end? Express the answer in 1 decimal place.
Level 3
Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.
Level 3
Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.
