Level 3
The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.
Level 3
The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.
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Level 3
In an office tower of 600 workers, 35% of the staff is the same as 70% of the number of visitors. How many less visitors than staff are there in the office tower?
3 m
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Level 3 PSLE
Mr Wong used 38 of his money to buy 8 apples and 12 peaches. The cost of 4 apples was the same as that of 2 peaches. What was the most number of peaches that Mr Wong could buy with the money he had left?
2 m
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Level 3
Lina and Wendy went shopping. After Lina spent $85j, Wendy had 5 times as much as Lina. If Lina had $21j more than Wendy at first,
- Express the amount of money that Lina had at first in terms of j.
- If j = 10, find the amount of money that the two ladies had left after shopping.
3 m
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Level 1 PSLE
Mr Lim asked some students to choose their favorite colour for a T-shirt. The results are shown in the graph.
- What is the ratio of the number of students who chose purple to the number who chose green to the number who chose yellow?
- Mr Yip ordered a total of 360 T-shirts in the three colours according to the same ratio in part (a). How many more yellow than purple T-shirts were ordered?
Level 1 PSLE
Mr Lim asked some students to choose their favorite colour for a T-shirt. The results are shown in the graph.
- What is the ratio of the number of students who chose purple to the number who chose green to the number who chose yellow?
- Mr Yip ordered a total of 360 T-shirts in the three colours according to the same ratio in part (a). How many more yellow than purple T-shirts were ordered?
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Level 2 PSLE
At first, Containers X, Y and Z contained water as shown. Some water from Containers Y and Z was poured into Container X without any spilling over. The amount of water left in Containers Y and Z is shown. What would be the amount of water in Container X?
Level 2 PSLE
At first, Containers X, Y and Z contained water as shown. Some water from Containers Y and Z was poured into Container X without any spilling over. The amount of water left in Containers Y and Z is shown. What would be the amount of water in Container X?
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Level 2 PSLE
The bar graph shows the number of storybooks read by a class from January to April. The number of storybooks read is not shown on the scale.
- What was the percentage increase in the number of storybooks read from January to February?
- The average number of books read in a month from January to April was 25. How many books did the class read in April?
Level 2 PSLE
The bar graph shows the number of storybooks read by a class from January to April. The number of storybooks read is not shown on the scale.
- What was the percentage increase in the number of storybooks read from January to February?
- The average number of books read in a month from January to April was 25. How many books did the class read in April?
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Level 3 PSLE
The figure shows two stacks of identical paper cups. There are 5 cups in the shorter stack and 11 cups in the longer one. The length of the shorter stack is 15 cm and the length of the longer stack is 27 cm. Alle wants to pack the paper cups as a single stack into a box 35 m long. What is the most number of cones he can pack into the box?
Level 3 PSLE
The figure shows two stacks of identical paper cups. There are 5 cups in the shorter stack and 11 cups in the longer one. The length of the shorter stack is 15 cm and the length of the longer stack is 27 cm. Alle wants to pack the paper cups as a single stack into a box 35 m long. What is the most number of cones he can pack into the box?
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Level 3
A van travels 20 km in 5r minutes. How far will it travel in 2 hours?
3 m
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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)
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Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is
35 the area of Pentagon B. The area of Pentagon B is
35 the area of Pentagon C.
- Find the ratio of the area of Pentagon A to the area of Pentagon C.
- 23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is
35 the area of Pentagon B. The area of Pentagon B is
35 the area of Pentagon C.
- Find the ratio of the area of Pentagon A to the area of Pentagon C.
- 23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
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Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
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Level 2 The graph shows the temperature of water in a pot from 08 00 to 08 30.
- For how many minutes was the temperature of the water 50°C and below?
- During which two 5-minute intervals did the temperature of water decrease at the same rate?
- What was the change in temperature per minute from 08 25 to 08 30? Give your answer in °C per minute.
Level 2 The graph shows the temperature of water in a pot from 08 00 to 08 30.
- For how many minutes was the temperature of the water 50°C and below?
- During which two 5-minute intervals did the temperature of water decrease at the same rate?
- What was the change in temperature per minute from 08 25 to 08 30? Give your answer in °C per minute.
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Level 3
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
3 m
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Level 3
Four children made the following statements.
Winnie : The average of Yoko's mass and my mass is 39 kg.
Xtra : I am the heaviest.
Yoko : Zane is 2 kg lighter than Xtra.
Zane : Our masses are in consecutive order (In running sequence).
What is the total mass of Winnie, Xtra and Yoko ?
3 m
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Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
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Level 3 PSLE
At first, Jack had some money. He spent 14 of it on a T-shirt and 25 of the remainder on a pair of shoes. After that, his parents gave him $240. The ratio of the total amount of money he had at the end to the amount of money he had at first was 5 : 4. How much money did Jack have at first?
4 m
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Level 3
After Mr Lim had stacked up 10 chairs in the Conference Room after a meeting, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the 4th chair was 37.5 cm above that of the first. Thirdly, the chairs reached a height of 205.2 cm. What is the height of each chair?
4 m
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Level 3 PSLE
Blake and Steve ran in a race. When Steve had completed the race, Blake had only run 58 of the distance. Steve's speed was 75 m/min faster than Blake's speed. Both of them did not change their speeds throughout the race. What was Blake's speed in m/min?
3 m
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Level 3
Joe took 12 min to cycle from his home to a park for his morning exercise. After the exercise, he took 60 min to walk the same route home. The difference between his cycling and walking speed was 40 km/h. How far was Joe's home from the park?
3 m
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