671 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
672 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
673 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
674 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
675 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
676 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
677 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
678 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
679 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
680 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

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