Level 3
Beryl has 2 containers. A and B of different capacities. If Container A is filled by a tap at a rate of 3 litres per minute and Container B is filled by a tap at a rate of 5 litres per minute, when Container A is completely filled, 5 litres of water flowed out from Container B. If Container A is filled by a tap at a rate of 4 litres per minute and Container B is filled by a tap at a rate of 3 litres per minute, when Container A is completely filled, Container B is only half-filled. What is the capacity of Container B?
Level 3
The ratio of the number of blue stickers to red stickers is 5 : 2.
After Adam buys another 10 blue stickers and 20 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 7 : 6.
How many stickers does Adam have now?
Level 3
The ratio of the number of blue stickers to red stickers is 5 : 2.
After Adam gives away 10 blue stickers and gives away 20 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 9 : 2.
How many stickers does Adam have now?
Level 3
The ratio of the number of blue stickers to red stickers is 5 : 2.
After Adam buys another 20 red stickers and gives away 10 blue stickers,
the ratio becomes of the number of blue stickers to red stickers is 3 : 2.
How many stickers does Adam have now?
Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 2 : 5.
When 10 fifty-cent coins are taken out and exchanged with some twenty-cent coins of the same value,
the ratio became 8 : 9.
Find the sum of money in the coin box in dollars.
Level 3
The figure shows 2 identical containers each holding 202 cm3 of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm3 and 1183 cm3 respectively. What is the volume of each ball? Give the answer in cm3.
Level 3
The figure shows 2 identical containers each holding 202 cm3 of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm3 and 1183 cm3 respectively. What is the volume of each ball? Give the answer in cm3.
Level 3
The ratio of the number of scones to the number of muffins in a bakery was 2 : 3. After 4 scones and 8 muffins were packed into each box, there were a total of 7 scones and 1 muffin left. Find the total number of scones and muffins in the bakery at first.
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
Level 3
At first, Tina had 23 as many stickers as Esther. After Tina bought another 8 stickers and Esther lost 5 stickers, Tina had 45 as many stickers as Esther. Find the number of stickers Tina had at first.
Level 3 PSLE
There were 95 oranges and apples altogether. After 23 of the oranges and half of the apples were sold, there were a total of 40 oranges and apples left. What fraction of the fruits were oranges at first? Give the answer in its simplest form.
Level 3
There were 360 males and 400 females queueing up for a fan meeting. The ratio of the number of males to the number of females who left the queue was in the ratio 1 : 2. As a result, the ratio of the number of females became four times as many as the number of males who remained in the queue. How many people left the queue?
Level 3
Hannah went shopping with 4 times the amount that Kelly brought. The ratio of the amount of money Kelly spent to the amount of money Hannah spent was 2 : 3. In the end, Kelly and Hannah had $12 and $108 respectively. How much did Kelly spend?
Level 3 PSLE
Ann had some identitical cuboids with square base and height, h. She then stacked the cuboid to form the 2 towers. The figure shows the front view and the side views of the 2 towers.
Find h.
Find the volume of the cuboid.
Level 3 PSLE
Ann had some identitical cuboids with square base and height, h. She then stacked the cuboid to form the 2 towers. The figure shows the front view and the side views of the 2 towers.
Level 3
Bryan's money was 335 times his sister's money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan have at first?
