Level 3
Water flows into a tank at the rate of 45 ℓ per minute. After 10 min, the tap is turned off and the tank is 0.6 filled with water.
- How much more water is needed to fill it to the brim?
- The water in the tank is then poured into containers each 1.5 m long, 0.3 m wide and 10 cm high. What is the minimum number of containers needed?
4 m
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Level 3
The table shows the time taken by 4 participants in a race. All the times recorded are in whole numbers. Some of the time recorded were blocked by an ink drop. The average time taken by the 4 participants was 60 seconds. The difference between the time taken by Gabriel and Owen was 2 seconds. Find the shortest possible time taken by Fred.
Level 3
The table shows the time taken by 4 participants in a race. All the times recorded are in whole numbers. Some of the time recorded were blocked by an ink drop. The average time taken by the 4 participants was 60 seconds. The difference between the time taken by Gabriel and Owen was 2 seconds. Find the shortest possible time taken by Fred.
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Level 2
Sunflowers are sold in stalks of 3 for $8. What is the maximum number of stalks of sunflowers Stella can buy if she has $82?
2 m
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Level 3
A rectangular tank, measuring 30 cm by 25 cm by 40 cm, was filled with water. Ben poured all the water into 1.5 ℓ bottles. After filling 4 bottles, how many more bottles could Ben fill?
3 m
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Level 3
A container measuring 25 cm by 16 cm by 48 cm was
13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
- How much water did James pour into container? Give your answer in mℓ.
- James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
Level 3
A container measuring 25 cm by 16 cm by 48 cm was
13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
- How much water did James pour into container? Give your answer in mℓ.
- James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
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Level 3
A rectangular tank, measuring 20 cm by 12 cm by 15 cm, was completely filled with water. All the water was poured into identical cubical containers of side 8 cm. What was the least number of containers used?
Level 3
A rectangular tank, measuring 20 cm by 12 cm by 15 cm, was completely filled with water. All the water was poured into identical cubical containers of side 8 cm. What was the least number of containers used?
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Level 3
Five numbers were written on the whiteboard as shown:
- Write down the 3 numbers that will give an average of 51.
- After John wrote 2 -digit number on the same whiteboard, the new average of the six numbers became a multiple of 3. What was the largest possible 2-digit number written by John?
Level 3
Five numbers were written on the whiteboard as shown:
- Write down the 3 numbers that will give an average of 51.
- After John wrote 2 -digit number on the same whiteboard, the new average of the six numbers became a multiple of 3. What was the largest possible 2-digit number written by John?
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Level 3
The table shows the prices of pens sold in a school bookshop. Jessica wants to buy 26 pens. What is the least amount she will have to pay?
Level 3
The table shows the prices of pens sold in a school bookshop. Jessica wants to buy 26 pens. What is the least amount she will have to pay?
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Level 3
A 3-digit number, when divided by 3, has a remainder of 2. When the same number, when divided by 6, has a remainder of 5. What is the smallest possible number?
3 m
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Level 3
Mrs Tan wanted to invite her children to have a party at the cafe. Each lunch set costs $10.75. What is the minimum amount that Mrs Tan must pay for her 30 students?
Level 3
Mrs Tan wanted to invite her children to have a party at the cafe. Each lunch set costs $10.75. What is the minimum amount that Mrs Tan must pay for her 30 students?
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Level 3
Mary visited a bakery where cheese tarts are sold in packages of 5 or 10. Packages of 5 are sold at $6.50 each and packages of 10 are sold at $12. What was the most number of cheese tarts could Mary buy with $285?
4 m
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Level 3
The table shows the prices of muffins at two shops. The muffins are only sold in sets of 6 muffins in Candy's Bakery or sets of 7 muffins in Dina's Bakery.
- Ann has $8.15. She wants to buy 14 muffins from Dina's Bakery. How much more money does she need to buy the 14 muffins?
- Zack has $97. He wants to buy the greatest possible number of muffins with his money from one of the two shops. What is the greatest possible number of muffins he can buy with his money?
Level 3
The table shows the prices of muffins at two shops. The muffins are only sold in sets of 6 muffins in Candy's Bakery or sets of 7 muffins in Dina's Bakery.
- Ann has $8.15. She wants to buy 14 muffins from Dina's Bakery. How much more money does she need to buy the 14 muffins?
- Zack has $97. He wants to buy the greatest possible number of muffins with his money from one of the two shops. What is the greatest possible number of muffins he can buy with his money?
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Level 3
A bookstore sells either one pen for $2 or in packs of 5 for $7. Pamela wants to buy exactly 33 pens with the smallest amount of money. How much does she have to pay for the 33 pens?
3 m
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Level 3
Marilyn accidentally spilled ink onto her results slip. Her results were as follows:
- What could be the smallest possible difference between her Chinese and Mathematics results?
- What could be the largest possible difference between her Chinese and Mathematics results?
Level 3
Marilyn accidentally spilled ink onto her results slip. Her results were as follows:
- What could be the smallest possible difference between her Chinese and Mathematics results?
- What could be the largest possible difference between her Chinese and Mathematics results?
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Level 3
Helen accidentally tore and threw away part of her receipt as shown. The average price of the three items was $76. What was the largest possible difference in prices between the power bank and the webcam if each item cost between $60 and $100?
Level 3
Helen accidentally tore and threw away part of her receipt as shown. The average price of the three items was $76. What was the largest possible difference in prices between the power bank and the webcam if each item cost between $60 and $100?
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Level 3
Mr Tan wants to put all 27 boys and 72 girls into groups for an activity. There are more girls than boys in each group. Each group must have the same number of boys. Each group must also have the same number of girls.
- What is the greatest number of groups Mr Tan can form with these conditions?
- How many children are in each group?
4 m
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Level 3
Becky filled a rectangular container which had a base area of 40 cm
2 and a height of 25.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.6 cm.
- What was the length of each side of the metal cube?
- After Becky removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.35 ℓ. What was the maximum number of bottles she could fill?
5 m
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Level 3
A room has dimensions 252 cm by 125 cm. Tiles with dimension 20 cm by 12 cm were arranged on the floor. What is the maximum number of complete tiles that can be placed on the floor?
Level 3
A room has dimensions 252 cm by 125 cm. Tiles with dimension 20 cm by 12 cm were arranged on the floor. What is the maximum number of complete tiles that can be placed on the floor?
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Level 3
Ms Ong and 3 parent volunteers took a class of 30 children to the Trick-Your-Eyes Museum. What was the minimum cost of all the tickets to be bought?
Level 3
Ms Ong and 3 parent volunteers took a class of 30 children to the Trick-Your-Eyes Museum. What was the minimum cost of all the tickets to be bought?
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Level 3 Rica was saving money to buy pens. She saved $6 every 4 days. After saving for 28 days, she went to buy pens that were on sale.
- What was the most number of pens she could buy?
- Rica wanted to buy 38 pens. How much more did she need to save?
4 m
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