21 P6.RD.TL.16010171
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Fraction to units Finding ratio R Simplest form Percent to units Percent of different bases More than or less than Equal stage after Repeated identity Common numerator Units table
22 P6.RD.TL.16010161
Level 3
A crate contains some kiwis, apples and watermelons. 0.4 of the apples is equal to 80% of the kiwis. The number of watermelons is 12 of the total number of kiwis and apples. If there are 44 more watermelons than kiwis, how many fruits are there in the crate altogether?
4 m
Decimal to units Fraction to units Percent to units More than or less than Combined repeated identity Common numerator Units table
23 P6.FR.JC.17053012
Level 3 PSLE
Three girls used the same number of pearls to make necklaces. Dana used 25 of her pearls, Esther used 34 of hers and Fina used 23 of hers. They had a total of 1440 pearls at first. How many pearls did each girl use?
3 m
Fraction to units Common numerator Units table
24 P6.FR.JO.21042217
Level 3 PSLE
Ian had a total of 810 long and short rulers. After selling an equal number of both types, he had 13 of the long rulers and 16 of the short ones left. What was the total number of rulers left?
3 m
Fraction to units Common numerator All change Units table
25 P6.FR.TL.16010138
Level 3
Rael, Henry and Will shared $117. During a shopping trip, Rael spent 16 of his share, Henry spent 15 of his share and Will spent 12 of his share. Given that all three boys each spent the same amount of money, how much more money do Rael and Henry have than Will in the end?
3 m
Fraction to units More than or less than Common numerator Units table Units manipulation
26 P6.RD.JC.16010121
Level 3
34 of Eva's money was equal to 12 of Anna's money at first. After Eva spent $1.70 and Anna spent $0.70, Eva had 35 as much money as Anna.
  1. How much did Anna have at first? Express the answer(s) in 2 decimal places.
  2. How much did Eva have in the end? Express the answer(s) in 2 decimal places.
4 m
D Round off Ratio to units Percent to units Common numerator All change Units table Units & parts Substitution
27 P6.RD.JC.16010122
Level 3
14 of the number of sheep that Farmer Yang head was equal to 25 of the number of sheep that Farmer Tan had. When Farmer Yang sold 300 of his sheep and Farmer Tan bought another 40, the ratio of the number of sheep that Farmer Yang had to the number of sheep Farmer Tan had 7 : 5. What was the total number of sheep that the 2 farmers had at first?
4 m
Fraction to units Ratio to units Common numerator All change Units table Units & parts Substitution
28 P6.SP.JC.17053169
Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?
4 m
Rate more than 1 object Volume Time Height of cuboid Common numerator Units method
29 P6.FR.TL.16010134
Level 3
35 of Jack's savings is equal to 23 of Asher's savings. The difference in their savings is equal to 15 of Fred's savings. Jack saves $90 more than Fred. Find the total amount of saving of all 3 boys.
4 m
Fraction to units More than or less than Common numerator Units method
30 P6.FR.JM.19061301
Level 3
Penny, Vera and Roshel bought a gift for their parents. They shared the cost equally between them. Penny used 25 of her savings, Vera used 58 of her savings and Roshel used 37 of her savings. Penny and Roshel had $170 left. How much did each girl pay for the gift?
4 m
Fraction to units Common numerator Units Table
31 P6.SP.TL.18012270
Level 3
After cycling for 30 km, Mark took a break before he continued cycling 13 of the remaining distance. He then realised that he still had 14 of the total distance not completed. If Mark's average speed was 30 km/h, how much time did he take to complete the entire ride? Express the answer in mixed number.
4 m
DST triangle Average speed Duration Fraction of a whole Common numerator Units method
32 P6.PC.TL.16010135
Level 3
There were some avocados in 3 boxes, E, F and G. 30% of the number of avocados in Box E was equal to 60% of the number of avocados in Box F. The number of avocados in Box G was 60% of the total number of avocados in Box E and F. After Oscar removed 20% of the avocados in Box G, there were 88 more avocados in Box F than in Box G. In the end, how many avocados should be transferred from Box F to Box G so that the avocados in Box G would be the same as Box E?
5 m
Percent to units Percent of different bases More than or less than Equal stage after Common numerator Combined repeated identity Units table Decimal units
33 P6.RD.TL.16010140
Level 3
20% of Nick's savings was $120 more than 30% of Will's savings. After Nick spent 23 of his savings and Will spent 40% of his savings, Nick had $13 more than Will. How much was Nick's saving at first?
5 m
Fraction to units Percent of a whole Percent to units Percent of different bases More than or less than Common numerator All change Units equations Units table
34 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
35 P6.FR.TL.16010139
Level 3
Three girls gave an equal amount of money to buy a souvenir for Oscar. Diana used 13 of her money. Fiona used 34 of her money and Ruth used 12 of hers. They had a total of $190 at first. How much was the souvenir?
4 m
Fraction to units Equal stage before Common numerator All change Units table Units manipulation
36 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
37 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

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