661 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
662 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
663 P6.AP.TL.17090838
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
4 m
Rectangle Triangle Cut & paste Ratio to units
664 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
665 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
666 P6.FR.TL.16010133
Level 3
The average number of boys in 1A, 1B and 1C is 18. This is 4 more than the average number of girls in the 3 rooms. 27 of the total number of girls are in 1C. 32 of the number of girls in 1B is the same as 37 of the total number of girls in the 3 rooms. What fraction of the total number of boys in the 3 rooms is in 1A if there are 40 pupils in 1A?
5 m
Fraction to units Average Common numerator Units table
667 P6.FR.TL.16010161
Level 3
There were some pupils in a museum. 13 of the pupils lined up in 16 short rows and 12 of the pupils lined up in 6 long rows. The remaining pupils did not line up. There are 12 more pupils in each long row than each short row.
  1. What fraction of the pupils did not line up?
  2. How many pupils lined up?
5 m
Fraction of a set Common denominator Fraction to units More than or less than Number x value Units table Units & parts Substitution
668 P6.FR.TL.16010111
Level 3
Betty had a total of 39 pieces of $2 and $100 notes at first. She spent 25 of the number of $2 notes and received another 9 pieces of $100 notes from her mother. After that, the number of $100 notes she had was 12 of the remaining notes. How much money did Betty have at first?
5 m
Fraction to units Money All change Units table Units manipulation
669 P6.FR.TL.16010115
Level 3
Henry and Peter had $690. Henry spent 49 of his money on a television. Peter spent 14 of his money on a stereo system. The television cost $140 more than the stereo system. How much money had Henry left?
5 m
Fraction to units Money More than or less than All change Units manipulation Model & units table
670 P6.SP.TL.18012295
Level 3
Ray left City B for City A at 07 30. Lindy left City B for City C at the same time. At 10 30, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 12 00 h.
  1. Find the distance between Cities A and C.
  2. If Lindy's speed was 35 the speed of Fred, find Ray's speed.
5 m
DST triangle Average speed Same starting time Opposite direction Distance apart Direct ratio Common time Units method
671 P6.FR.TL.16010130
Level 3
The number of ten-cent coins in a jar was 13 the number of fifty-cent coins. Zane took out 19 fifty-cent coins and exchanged them for ten-cent coins. Then he put the money back into the jar. The number of fifty-cent coins became 58 the number of ten-cent coins. How much money was there in the jar?
5 m
Fraction to units Money Proportional exchange All change Units table Units & parts Elimination
672 P6.SP.TL.18012297
Level 3
Kim, John and Zane started walking at the same time from the same starting point round a circular track. Zane walked in the clockwise direction. Kim and John walked in an anti-clockwise direction. Zane took 6 min to complete each round. He met Kim after every 2 minutes. He met John after every 5 minutes. The three friends keep to their respective speeds throughout their walk.
  1. How many rounds did Zane complete in 1 h?
  2. When Zane and Kim met again at the starting point after 1 h, John had completed 1.6 km. Find the circumference of the circular track in metres.
5 m
Same starting point Same starting time Opposite direction Meeting point Circular track Finding ratio Repeated identity Units method
673 P6.FR.TL.16010158
Level 3
Nick spent $716 on jackets and cardigans. The number of cardigans he bought was 12 the number of jackets he bought. The cost of a cardigan was $11 more than the cost of a jacket. He paid $180 more on jackets than on cardigans. Find the cost of 8 jackets and 5 cardigans.
5 m
Fraction to units Money More than or less than Sets
674 P6.FR.JC.17041001
Level 3
A shop owner paid a total of $520 for some shirts and some blouses. He paid $200 less for the shirts than the blouses. Each blouse cost $4 more than each shirt. The number of shirts he bought was 23 of the number of blouses bought.
  1. How much did he pay for all the shirts?
  2. How many shirts did he buy?
5 m
Fraction to units Money More than or less than Sets
675 P6.FR.TL.16010144
Level 3
A train left the city with some passengers. At the first station, 15 of the passengers alighted and 16 boarded the train. At the second train station, 13 of the passengers alighted and 17 boarded the train. All 33 passengers alighted from the train at the final train station. How many passengers were there in the train when it left the city?
5 m
Fraction to units Working backwards Units table Units & parts Substitution
676 P6.FR.TL.16010137
Level 3
Ruth, Queenie and Cathy were playing with beads. Ruth started with 72 beads and then she gained 13 more beads from Queenie. In the second game, Ruth lost 38 of her original number of beads to Cathy. Queenie lost as many beads as Ruth to Cathy. In the final game, Ruth gained 12 of her original number of beads from Queenie. All of them ended up with the same number of beads.
  1. How many beads did Ruth have in the end?
  2. How many beads did Queenie have at first?
5 m
F Multiplication Equal stage after Internal transfer Working backwards Units table
677 P6.FR.TL.16010131
Level 3
Three girls, Isabelle, Zoe and Diana had a total of 1680 marbles. Some exchanges were made. First, Isabelle gave Zoe as many marbles as Zoe had. After that, Zoe gave 34 of whatever she had then to Diana. Finally, Diana gave 27 of whatever she had to Isabelle. As a result, they each had the same number of marbles. How many marbles did Isabelle have at first?
5 m
Fraction to units Equal stage after Unchanged total Working backwards Units table Units & parts & boxes Substitution
678 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
679 P6.FR.TL.16010126
Level 3
There were 801 students at a cinema at first. After 27 of the girls and 12 of the boys left, there were still 103 more boys than girls at the cinema. How many boys were there at first?
5 m
Fraction to units More than or less than All change Units & parts Elimination
680 P6.AP.JC.22040804
TRY FOR FREE
Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
  1. The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
  2. What is the area of the shaded part?
4 m
Attempt
Rectangle Rectilinear figure Triangle Composite figure perimeter Composite figure area More than or less than Units & parts Elimination

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