71 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
72 P6.PC.TL.16010133
Level 3
Eva, Sarah and Penny had 1188 marbles. Sarah won some of the marbles from Eva and as a result, Sarah's marbles increased by 20%. Penny then won some marbles from Sarah and Penny's marbles increased by 40%. Finally, Penny lost some of her marbles to Eva and Eva's marbles increased by 20%. In the end, they realised that they each had an equal number of marbles. How many percent less did Eva have in the end than what she had at first? Correct your answer to 1 decimal place.
5 m
Percent change by Percent of different bases Equal stage after Internal transfer Unchanged total Working backwards Unit table Units & parts & boxes
73 P6.FR.TL.16010147
Level 3
Nick and Ken have some yellow staplers and some pink staplers. The number of pink staplers Nick has is equal to the number of yellow staplers Ken has. 14 of Nick's staplers are yellow and 15 of Ken's staplers are pink. There are a total of 112 yellow staplers. Find the total number of staplers they have.
4 m
Fraction to units Equal stage before Units table Units manipulation
74 P6.FR.JO.21042207
Level 3 PSLE
Peiyi and Jamal bought storybooks at the prices shown.
  1. Peiyi bought an equal number of large and small storybooks. She spent $175 more on the large ones. How many storybooks did she buy altogether?
  2. Jamal spent an equal amount of money on the large and small storybooks. What fraction of the storybooks he bought were large?
5 m
Fraction of a set W 4 operations LCM Money More than or less than Equal stage Sets
75 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
76 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
77 P6.AP.TL.17090842
Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 227)
5 m
Circumference Ratio to units Distance apart Equal stage Units method
78 P6.WN.TL.16010103
Level 3
The total price of 6 grapefruits and 4 avocados is the same as that of 10 grapefruits and 3 avocados. Each grapefruit costs $3 less than each avocado. How much does each avocado cost?
3 m
W 4 operations Money Unit Conversion More than or less than Equal stage Units equations Units & parts Substitution
79 P6.WN.JC.16010104
Level 2
Violet had 6 times as many erasers as Jane at first. After Violet gave 40 erasers to Jane, they each had the same number of erasers in the end. How many erasers did Violet have at first?
3 m
W 4 operations Times as many Equal stage after Internal transfer Units table
80 P6.WN.JC.16010150
Level 3
A jar contained $2 and $5 notes with a total value of $518. 4 pieces of $5 were exchanged for $2 notes of similar value. In the end, the number of $2 notes was the same as the $5 notes. How many $5 notes were there at first?
3 m
W 4 operations Proportional exchange Equal stage after Number x value Units table

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