41 P6.SP.TL.18012221
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?
3 m
Rate more than 1 object Volume Fraction of a whole Double if Units table Units & parts Elimination
42 P6.FR.JC.22031802
Level 2 PSLE
Mrs Lee had a bottle of oil. She used an equal amount of oil each day. At the end of the 5th day, she had 990 mℓ of oil left. At the end of the 7th day, she had half the bottle of oil left. How many litres of oil were there in the bottle at first?
2 m
Fraction of a whole F Division Volume Unit conversion MRDL Units method
43 P6.AG.JC.17080455
Level 3
Angela had $112w left after she spent 57 of her money on a wallet. Then she spent the remaining money on shirts at $16w each.
  1. How much money did Angela spend on the wallet?
  2. How many shirts did she buy?
3 m
Algebra in 1 variable Algebra simplifying Fraction of a whole Money
44 P6.VO.NK.17053159
Level 3
The figure is not drawn to scale. Tank A measuring 40 cm by 30 cm by 20 cm is filled to the brim. When 35 of water was transferred from Tank A to Tank B, 1.8 litres of water overflowed. Tank B has a base area of 300 cm2. Find the height of Tank B.
3 m
Volume of cuboid Height of cuboid Filling tank Displacement Fraction of a whole Unit conversion
45 P6.VO.NK.17053172
Level 3
The figure is not drawn to scale. The tank was 23 filled with water to a height of 30 cm. When a rubber ball was dropped into the tank, the height of the water level was 1.5 cm from the brim of the tank. Find the volume of the rubber ball.
3 m
Volume of cuboid Height of cuboid Displacement Fraction of a whole
46 P6.VO.NK.17053180
Level 2 PSLE
Two rectangular tanks are shown. Tank Y contained water to half its height. All the water from Tank Y was poured into Tank Z without spilling. What was the height of the water level in Tank Z?
3 m
Volume transfer Fraction of a whole
47 P6.VO.NK.17053171
Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release 14 of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.
  1. What is the length of Tank A?
  2. How many m3 of water are there in Tank B?
3 m
Volume of cuboid Height of cuboid Volume transfer Fraction of a whole
48 P6.VO.NK.17080921
Level 3
34 of a rectangular tank, 90 cm by 8 cm by 5 cm, is filled with water. A cubical container of edge 18 cm is filled with water to a depth of 15 cm. If the water in the rectangular tank is transferred to the cubical container until it is filled to its brim, how many litres of water will be left in the rectangular tank?
3 m
Volume of cuboid Volume of cube Volume transfer Fraction of a whole Unit conversion
49 P6.VO.NK.17053031
Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
3 m
Volume of cuboid Height of cuboid Volume transfer Fraction of a whole D Place values D Round off Percent of a whole
50 P6.VO.NK.17080924
Level 3
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.
3 m
Volume of cuboid Volume of cube Height of cuboid Volume transfer Fraction of a whole D Place values D Round off
51 P6.SP.TL.18012237
Level 3
Ben drove a car at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove another 30 min before he reached his destination. Find the total distance covered by Ben.
3 m
DST triangle Different speed Unit conversion Duration Fraction of a whole
52 P6.DA.TL.18011915
Level 2 PSLE
Carlo filled a container with water using two taps. He turned on Tap A first and after 4 minutes, he also turned on Tap B. Both taps were turned off at the same time when the container was completely filled without overflowing. The graph shows the amount of water in the container over 16 minutes.
  1. What fraction of the container was filled 4 minutes after Tap A was turned on? Express your answer in the simplest form.
  2. In one minute, how many litres of water flowed from Tap B?
3 m
Line graph Fraction of a whole Volume Filling tank Rate more than 1 object
53 P6.FR.JC.17053010
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.
3 m
Fraction of a whole F Addition & subtraction Fraction to units Area Perimeter Square Units method
54 P6.SP.TL.18012256
Level 3
Allan and Maine were in a roller skating race. Allan was travelling at a constant speed of 20 km/h and they both did not change their speed. When Maine completed half of her race, Allan was 3.5 km ahead. Allan completed the race at 10.45 a.m. What time did Maine complete the race?
3 m
DST triangle Same starting point Same starting time Distance apart Common time Unit conversion Start end time Timeline Fraction of a whole
55 P6.VO.NK.17080912
Level 3
310 of the tank is filled with water. Another 210 litres of water are needed to fill the tank to its brim.
  1. What is the volume of the tank?
  2. The Height of the tank is 60 cm and its length is 100 cm. Find the perimeter of its base.
4 m
Volume of cuboid Fraction of a whole Unit conversion Units method
56 P6.AP.NK.21060428
Level 3 PSLE
Figure 1 shows a square tile made up of 2 grey squares, A and B and 2 identical white rectangles C. The length of 1 side of square A is twice the length of 1 side of square B.
  1. What fraction of the square tile in Figure 1 is grey?
  2. Figure 2 shows a wall laid with square tiles. The wall is 9 m by 9 m and is completed covered with square tiles. Find the total area of the wall covered by grey squares.
3 m
Square Rectangle Cut & paste Tiling Fraction of a whole
57 P6.AN.NK.17051712
Level 3
In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is 54 of ∠DCQ . Find ∠ADC.
3 m
Square Trapezium Interior angles Fraction of a whole Units method
58 P6.AP.TL.17090772
Level 3
The figure is made up of 16 square tiles. What fraction of the figure is shaded? Give the answer in the simplest form.
3 m
Square Triangle Tiling Fraction of a whole F Simplest form
59 P6.AP.NK.21060429
Level 3 PSLE
The pattern on the tile ABCD shows squares of different sizes. AF = FE and AE = ED.
  1. What fraction of the tile ABCD is shaded?
  2. Figure 2 is made up of four such tiles. The area of the unshaded part of Figure 2 is 80 cm2. What is the total area of the shaded parts in Figure 2?
3 m
Square Tiling Overlapping area Fraction of a whole
60 P6.VO.NK.17053041
Level 3
The figure shows a tank 45 filled with water. The tank is made up of two cuboids. The top cuboid has a square base of length 10 m and a height of 16 m. The bottom cuboid has a square base of length 5 m and height 12 m. Find the height of the water level from the base of the container.
4 m
Volume of cuboid Height of cuboid Fraction of a whole

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