321 P5.FR.NK.23053004
Level 3
Helen spent $12 on a shirt. She spent 15 of her remaining money on a blouse and a blazer, after which half her money was left.
  1. What fraction of her money did she spend on the shirt?
  2. The cost of the blazer is 13 the cost of the blouse. How much more does the blouse cost than the blazer?
4 m
Fraction of a whole Fraction to units Money Remainder concept Common numerator Units table Units & parts Substituition
322 P5.VO.JM.17083192
Level 3
Figure A shows a rectangular container filled with some water and 8 identical blocks. The base area of the rectangular container is 448 cm2. Figure B shows the same container being turned upright. Find the volume of water in the container.
5 m
Volume of cuboid Base area x height Displacement Fraction of a whole Units method
323 P5.VO.JM.17083198
Level 3
Tank A is half-filled with water while Tank B is empty. Abby poured water from Tank A into Tank B without spilling until the water level in both tanks were the same. What is the volume of the water in Tank B now?
5 m
Volume of cuboid Height of cuboid Filling tank Volume common height Fraction of a whole
324 P6.AN.NK.17051738
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method
325 P5.PC.JM.17083139
Level 3
Dina spent 60% of her money on a number of pens. She spent 25% of the remaining money on a few highlighters and 50% of what was left on a number of sketchbooks.
  1. What fraction of her money was left?
  2. Given that the pens cost $36 more than the sketchbooks, find the sum of money Dina had at first.
5 m
Percent of a whole Percent to units Fraction of a whole Money More than or less than Remainder concept Branching
326 P6.SP.JC.21061119
Level 3 PSLE
The figure shows taps A and B and an empty tank. At 2 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 3.8 litres per minute. After 5 minutes, tap B was turned on. At 2.15 p.m., the tank was half filled with water.
  1. How many litres of water flowed out of tap B in 1 minute?
  2. At 2.30 p.m., what fraction of the tank was filled with water?
5 m
Rate more than 1 object Duration am pm Volume of cuboid Filling tank Units method Fraction of a whole
327 P6.SP.JC.17053052
Level 3
Water flows into a tank through Tap A and flows out of the container through Tap B. The capacity of a tank is 40 litres. When only Tap A is turned on, the container is completely filled in 16 minutes. When only Tap B is turned on, it takes 13 hour for all the water to flow out. If both taps are turned on at the same time,
  1. How long does it take to fill 40% of the tank?
  2. How much water has flowed out through Tap B by the time the tank is 35 filled with water?
5 m
Rate more than 1 object Common time Volume Volume of cuboid Filling tank Fraction of a whole Percent of a whole Units method
328 P6.SP.TL.18012298
Level 3
Recca took 5 hours to travel from Country A to Country B at 60 km/h. Then he travelled from Country B to another country at 1.5 times his original speed. 40% of the distance from Country A to Country B is equal to 13 of the distance from Country B to the next country. Find the average speed for the whole journey and express it in mixed number.
5 m
DST triangle Average speed Journey by parts Different speed Duration Fraction of a whole Percent to units Times as many Common numerator
329 P4.FR.JM.17103189
Level 3
Alice poured 18 bottles of water into an empty tank, filling it to 67 of its capacity. Each bottle had a capacity of 2 ℓ. What was the capacity of the tank?
4 m
Fraction of a whole W Multiplication & division Volume Units method
330 P5.DA.JM.17083193
Level 3
Jane was attempting to read a book within a week. On Monday, she had read 37 of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.
5 m
Average Time Fraction of a whole Ratio to units Unchanged total Units method
331 P6.SP.TL.18012291
Level 3
Andy and Luke took part in a 24-km marathon. Andy ran half the distance at a speed of 10 km/h and jogged the rest of the way at a speed of 8 km/h. Luke ran half his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?
  1. Andy
  2. Luke
5 m
DST triangle Average speed Journey by parts Different speed Same starting time Unit conversion Start end time Fraction of a whole
332 P6.FR.JO.21042219
Level 3 PSLE
Wendy spent 16 of her money on a dress and 3 belts. The dress cost 2 times as much as each belt. Wendy spent 34 of her remaining money on a watch. She spent $160.65 more on the watch than on the 3 belts.
  1. What fraction of Wendy's money was spent on each belt?
  2. How much money did Wendy have at first?
5 m
Fraction of a whole F Multiplication F Division Fraction to units Money More than or less than Times as many Remainder concept Branching Units table
333 P5.AP.JM.17083214
Level 3
ABCD is a rectangle. BC is 48 cm and AB is twice of BC. Find the area of Triangle CXY.
4 m
Rectangle Triangle Composite figure area Times as many Fraction of a whole
334 P5.FR.JC.17100393
Level 3
Fion used 47 of the flour to bake a cake. She used 14 of the remaining flour to bake some muffins. Given that Fion was left with 450 g of flour, how much flour did she have at first?
4 m
Fraction of a whole F Multiplication Mass Remainder concept Branching Working backwards Model Part-whole Units method
335 P5.AP.JM.17083244
Level 3
The figure consists of two overlapping squares ABCD and DEFG. H is the 15 mark of the sides, AB and FG. Express the shaded area as a fraction of the total unshaded area. (Give your answer in the simplest form.)
4 m
Square Composite figure area Overlapping area Fraction of a whole Fraction to units Units method
336 P5.FR.JC.17100394
Level 3
Serena used 25 of the flour and an additional 50 g to bake some cake. She used 14 of the remaining flour to bake some muffins. Given that Serena was left with 156 g of flour, how much flour did she have at first?
4 m
Fraction of a whole F Division Mass Remainder concept Working backwards Model Part-whole Units method
337 P5.FR.JC.17100385
Level 3
Serena used 25 of the flour and an additional 50 g to bake some cake. She used 14 of the remaining flour and an additional 24 g to bake some muffins. Given that Serena was left with 168 g of flour, how much flour did she have at first?
4 m
Fraction of a whole F Division Mass Remainder concept Working backwards Model Part-whole Units method
338 P6.SP.TL.18012296
Level 3
Raju and Shian left Town A for Town B at the same time. When Raju reached Town B in 4 hours, Shian had only completed 38 of the distance between the two towns. Shian's speed was 30 km/h slower than Raju. What was Raju's speed?
5 m
DST triangle Average speed Same starting point Same starting time Direct ratio Common time Duration Fraction of a whole More than or less than
339 P4.AP.JM.17100278
Level 3
The figure is formed from 2 rectangles and a square. The length of Rectangle R is twice that of Square S. The breadth of Rectangle R is 13 its length.
  1. Find the area of Rectangle T.
  2. Find the perimeter of the whole figure.
4 m
Square Rectangle Rectilinear figure Composite figure perimeter Composite figure area Fraction of a whole Model Times-as-many
340 P6.FR.JO.21042215
Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is 110 the area of the square while the area of B is 16 the area of the square.
  1. The total areas of A and B is 240 cm2. What is the length of each side of the square?
  2. What fraction of the square is Area of D?
5 m
Fraction of a whole F Simplest form F Addition & subtraction Fraction to units Length Area Perimeter Square & square root Units method

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