671 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
672 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
673 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
674 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
675 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
676 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
677 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
678 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
679 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
680 P6.AN.NK.17051743
Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find
  1. ∠x
  2. ∠y.
5 m
Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Interior angles Units & parts Elimination

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