561 P6.SP.JC.19010101
Level 3
If Bill and Henry paint a house, they take 24 days to finish painting. If Kenny and Bill paint the same house, they take 8 days to finish painting. If Henry and Mark paint the same house, they take 12 days to finish painting. How many days do Kenny and Mark take to paint the house if they work together?
4 m
Rate more than 1 object Duration LCM Units method Units & parts & boxes Substitution
562 P6.FR.JC.23030105
Level 3 PSLE
Matthew spent 37 of his money to buy 6 identical pens. He spent the rest of his money to buy another 4 such pens and 3 identical files.
  1. What fraction of Muthu's money was spent to buy the 3 files? Give your answer in the simplest form
  2. For every 5 files bought, 1 additional file was given free. How many files would Matthew get in total if he were to spend all his money to buy files only?
4 m
F Multiplication Fraction to units Remainder concept Sets Units method
563 P6.RD.TL.16010173
Level 3
Zoe spent $54 on some apples, oranges and grapefruits in the ratio of 1 : 5 : 3. The number of apples was 12 the number of oranges. The ratio of the number of grapefruits to the number of oranges was 3 : 2. The apples were sold at 2 for a dollar.
  1. How many fruits did she buy altogether?
  2. How much did each orange cost?
5 m
Fraction to units Ratio to units Money Repeated identity Units & parts Substitution
564 P6.FR.TL.16010156
Level 3
Betty spent 45 of her money on 14 stamps and 5 pens. The cost of each pen is 2 times the cost of each stamp. She bought some more stamps with 23 of her remaining money. How many stamps did Betty buy altogether?
4 m
Fraction to units Times as many Remainder concept Model Units & parts Substitution
565 P6.RD.TL.16010193
Level 3
Ruth spent $84 on some staplers, markers and files. The ratio of the amount of money she spent on the staplers, markers and files was 5 : 8 : 1. The markers were sold at 10 for $4. The number of staplers she bought was 12 the number of markers. The number of files she bought was 35 the number of markers. Find the price of 1 stapler.
5 m
Fraction to units Ratio to units Money Sets Repeated identity Units table Units & parts Substitution
566 P6.FR.JC.19051901
Level 3
John spent 37 of his salary and gave $880 to his wife. Of the remaining amount, he saved 15 of it and gave 310 of it to his parents. He then donated 23 of what he had left away and gave the remaining $56 to his daughter. What was John's salary?
4 m
Fraction to units Remainder concept Working backwards Units table Units manipulation Units & parts & boxes
567 P6.RD.TL.16010177
Level 3
A total of 846 white rulers and violet rulers are in a container. The ratio of white rulers to violet rulers was 1 : 2. Some pink rulers and yellow rulers were put into the container. For every 4 violet rulers that were already in the container, 14 yellow ones were added. Then the final number of white rulers and pink rulers was 12 the final number of violet rulers and yellow rulers. Find the total number of pink and yellow rulers.
5 m
Fraction to units Ratio to units Repeated identity Combined repeated identity Units table Units manipulation
568 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
569 P6.RD.TL.16010186
Level 3
England and Thailand took part in Youth Games. From England, the ratio of the number of male supporters to the number of female supporters was 1 : 3. From Thailand, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from England was 25 the total number of supporters from Thailand.
  1. What was the ratio of the number of male supporters from England to the total number of male supporters from both countries? Express the answer in the simplest form.
  2. After 1956 male supporters from both countries left, the percentage of all the female supporters became 74%. How many more female supporters from Thailand than England were there at first?
5 m
Finding ratio Fraction to units Ratio to units Percent to units Combined repeated identity Units table Units manipulation
570 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
571 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
572 P6.FR.TL.16010152
Level 3
Cathy's shop sold bracelets and rings. The bracelets were sold at $100 each and each ring was sold at 45 of the price of each bracelet. Cathy sold 14 of the items on the first day and collected $15580. 34 of the items sold on the first day were bracelets.
  1. How many rings were sold on the first day?
  2. What was the total number of items left after the first day?
4 m
Fraction to units Money Remainder concept Number x value Units table Units manipulation
573 P6.FR.TL.16010155
Level 3
A bag of candies was distributed equally among 16 pupils. When 7 of these pupils gave up 35 of their share, the rest of the pupils received 14 more candies each. How many candies were there in the bag?
4 m
Fraction to units More than or less than Number x value Units table
574 P6.RD.TL.16010128
Level 3
Carl had a total of 90 notes. The notes are $10 notes and $5 notes. After he spent 20% of the $10 notes and 60% of the $5 notes on a stereo system, he was left with 4 times as many $5 notes as $10 notes. How much did the stereo system cost?
5 m
Percent to units Money Times as many Number x value Units table
575 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
576 P6.FR.JC.19051301
Level 3
Alfred had some peaches in 3 sizes. The number of medium peaches was twice the number of large peaches. The number of large peaches were three times the number of small peaches.
The price of each peach are as follows:
Small $4
Medium $7
Large $9

He sold all the small and medium peaches. He received $360 from selling 13 of the large peaches.
  1. How many large peaches did he have at first?
  2. How much less did he collect from selling the small peaches than the medium peaches?
4 m
Fraction of a set F Multiplication Money Repeated Identity Number x value Times as many Units Table
577 P6.RD.TL.16010195
Level 3
Kate had some fruits at her stall. 34 of them were mangosteens, 13 of the remainder were apples and the rest were coconuts. The amounts earned for each mangosteen, each Fuji apple and each coconut sold are $1.50, $3.00 and $4.50 respectively.

The number of mangosteens sold to the number of apples sold to the number of coconuts sold was 3 : 5 : 3. In total, she sold 14 of the fruits and earned $198. How many coconuts did she have at first?
5 m
Fraction to units Remainder concept Combined repeated identity Number x value Decimal units Units manipulation Units & parts Substitution
578 P6.FR.JC.22031402
Level 3 PSLE
The table shows the prices of tickets for a soccer match.
The number of adult tickets sold was 5 times the number of child tickets sold. 58 of the adult tickets sold were for adults aged below 60 years. A total of $7020 was collected from the sale of tickets.
  1. What fraction of the tickets sold were for adults aged 60 years and above? Give your answer in the simplest form.
  2. What was the total number of tickets sold to adults?
4 m
Fraction of a set Fraction to units Combined repeated identity Number x value Units table
579 P6.RD.TL.16010168
Level 3
Hazel, Olivia and Diana had a total of 767 marbles. The ratio of Olivia's marbles to Diana's marbles was at first 4 : 7. After Hazel and Olivia each gave half of their marbles away, the 3 children had 527 marbles left. How many marbles did Hazel and Diana have at first?
5 m
Fraction to units Unchanged quantity Units table Units & parts Elimination
580 P6.FR.JC.19050801
Level 3
At a wedding, 49 of the guests were men and the rest were women. Some men then left the wedding and the remaining number of men were 25 of the guests. 44 men then joined the wedding. The number of guests in the end was 12 more than the number of guests at first. How many guests were there at first?
4 m
Fraction to units More than or less than Unchanged quantity Units equations Units table

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