636 P6.PC.TL.16010122
Level 3
On Monday, there were 320 more adults than children at the funfair. On Tuesday, the number of adults increased by 65% and the number of children increased by 55%. There were 1552 people on Tuesday. How many adults were there on Monday?
5 m
Percent change by Percent to units Percent of different bases More than or less than All change Model & units table
637 P6.RD.TL.16010182
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 m
Fraction to units Finding ratio Ratio to units Percent to units More than or less than Equal stage before Remainder concept All change Units table Units & parts & boxes Elimination
638 P6.FR.TL.16010125
Level 3
Jane and Tina had $652. Tina had $76 more than Jane. Jane spent 2 times as much as Tina and was left with 23 as much as Tina. How much did Jane spend?
4 m
Fraction to units Money More than or less than Times as many All change Model & units table Units & parts Elimination
639 P6.FR.TL.16010123
Level 3
23 of Eva's money was equal to 15 of Gillian's money at first. After Eva spent $41 and Gillian spent 25 of her money, Eva had 13 as much money as Gillian.
  1. How much money did Gillian have at first?
  2. How much money did Gillian have in the end?
4 m
Fraction to units Money Common numerator All change Units table Units manipulation
640 P6.SP.TL.18012282
Level 3
Building A and Building B were 360 km apart. A car travelled from Building A towards Building B. At the same time, a bus started from Building B to Building A. After travelling 112 hours, the two vehicles were still 144 km apart. If the ratio of the average speed of the bus to that of the car was 4 : 5, find
  1. the average speed of the bus.
  2. the time taken for them to meet. travelling the rest of the journey
4 m
DST triangle Average speed Different starting point Same starting time Distance apart Direct ratio Common time Duration Units method

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