561 P6.SP.TL.18012231
Level 3
If Joey and Vic work together on a project, they will complete it in 4 days. If Vic were to work with Richard on the same project, they will take a day longer. If Richard and Teddy work together, they will take 100% more time than Joey and Vic. If Joey and Teddy were to work together, how many more days will they take to complete the project compared to Vic and Richard working together?
4 m
Rate more than 1 object Duration Percent of a whole More than or less than Units & parts & boxes Elimination
562 P6.FR.TL.16010145
Level 3
At a fun fair, there were 3 times as many males as females. 59 of the males were boys and the rest were men. 23 of the females were women and the rest were girls. Given that there were 104 more boys than girls, how many children were there altogether?
4 m
Fraction to units More than or less than Times as many Combined repeated identity Units table Units manipulation
563 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
564 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
565 P6.FR.TL.16010146
Level 3
12 of the pupils in a school were girls and the rest were boys. 25 of the girls and 23 of the boys took part in a school event. 364 pupils did not take part. How many more girls were needed to take part in the school event so that it would be equal to the same number of boys who took part in the event?
4 m
Fraction to units More than or less than Equal stage after Combined repeated identity Units table Units manipulation
566 P6.AP.TL.17090814
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
3 m
Square Cut & paste Fraction of a whole Units method
567 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
568 P6.FR.TL.16010149
Level 3
149 pupils went for a Physical Fitness Test and 25 of them achieved Bronze certificates. 25 of the girls and 13 of the boys achieved Bronze certificates. How many girls did not achieve Bronze certificates?
4 m
Fraction to units Remainder concept Units table Units & parts Elimination
569 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
570 P6.FR.TL.16010129
Level 3
There are 390 children in a tuckshop. 27 of the boys and 23 of the girls wear spectacles, there are 258 children in the tuckshop who do not wear spectacles. How many girls wear spectacles?
4 m
Fraction to units Remainder concept Units table Units & parts Elimination
571 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
572 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
573 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
574 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
575 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
576 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
577 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
578 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
579 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
580 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

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