161 P6.RA.TL.16010120
Level 3
The ratio of the boys to the girls in school was 5 : 2. After 6 boys went home and 8 new girls came, there were 7 more boys than girls in the end. Find the number of children in the school at first.
3 m
Ratio to units More than or less than All change Units table Units equations
162 P6.RA.TL.16010119
Level 3
The ratio of Zoe's to Isabelle's incomes was 6 : 1 at first. After Zoe and Isabelle were given another $654 and $341 respectively, Zoe had 4 times as much money as Isabelle. How much did both of them have in the end?
3 m
Ratio to units Money Times as many All change Units table Units & parts Elimination
163 P6.PA.JC.17111303
Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
  1. Find the number of tiles at the bottom layer in the 29th pattern
  2. Find the total number of tiles in Pattern 50.
3 m
Equal intervals Square numbers Sum of odd consecutive
164 P6.RA.TL.16010159
Level 3
Sean and Jack have some money. If Sean gives $293 to Jack, the ratio of their money will be 3 : 5. If Sean gives $424 to Jack, the ratio of their money will be 1: 3. How much does Sean have?
3 m
Ratio to units Money Internal transfer Unchanged total Double if Units equations Units table
165 P6.PC.TL.16010134
Level 3
At a theme park, there were 60% as many boys as girls and 30% more adults than boys. Given that there were 90 more adults than boys at the theme park, how many children were there altogether?
3 m
Percent to units Percent of different bases More than or less than Repeated identity Units table
166 P6.PC.TL.16010127
Level 3
Isabelle has 40% as many beads as Violet and 80% less beads than Sarah. If they have a total of 102 beads, how many beads do Isabelle and Sarah have?
3 m
Percent to units Percent of different bases More than or less than Repeated identity Units table
167 P6.PC.TL.16010128
Level 3
The number of lemons a fruit seller bought in December was 30% more than in November. In January, he bought 50% less lemons than in December. If there were 3577 more lemons in November than January, how many lemons did the fruit seller buy in November?
3 m
Percent to units Percent of different bases More than or less than Repeated identity Units table
168 P6.SP.TL.18012221
Level 3
Beryl has 2 containers. A and B of different capacities. If Container A is filled by a tap at a rate of 3 litres per minute and Container B is filled by a tap at a rate of 5 litres per minute, when Container A is completely filled, 5 litres of water flowed out from Container B. If Container A is filled by a tap at a rate of 4 litres per minute and Container B is filled by a tap at a rate of 3 litres per minute, when Container A is completely filled, Container B is only half-filled. What is the capacity of Container B?
3 m
Rate more than 1 object Volume Fraction of a whole Double if Units table Units & parts Elimination
169 P6.PC.JC.23100209
Level 2 PSLE
Esmee spent 80% of her money on a dress. She spent 40% of the remainder on a watch. After that, she had $5.40 left. How much money did Esmee have at first?
3 m
Percent of a whole Remainder concept Branching F Multiplication Units table
170 P6.RD.JC.21022801
Level 3
The number of girls in the dance club was 25 the number of boys in it. The number of girls in the computer club was 67 the total number of students in it. The total number of students in the dance club was 12 the total number of students in the computer club. Find the ratio of the number of boys in the computer club to the number of boys in the dance club.
3 m
Fraction to units Finding ratio Units manipuation Units table
171 P6.PC.TL.16010103
Level 3
Some adult passengers are on a coach. If 25 tourists alight from the coach, the percentage of locals will increase from 15% to 40%. How many passengers are there in the coach?
3 m
Percent change to Percent to units Percent of different bases Unchanged quantity Units table
172 P6.AG.JC.17080458
Level 3
The table shows the number of pens sold at a bookshop last week.
  1. What was the total number of pens sold last week? Express your answer in terms of b the simplest form.
  2. If b = 20, how many pens were sold on Sunday?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Table
173 P6.PC.TL.16010102
Level 3
In a box, there are some mangosteens and lemons. If 80 more lemons are put into the box, the percentage of mangosteens will decrease from 70% to 30%. How many mangosteens are there in the box?
3 m
Percent change to Percent to units Percent of different bases Unchanged quantity Units table
174 P6.PC.TL.16010101
Level 3
A store owner had 505 kg of fresh honeydews. The honeydews contained 60% water when fresh. One week later, there was only 50% water left in the honeydews. What was the mass of the honeydews one week later?
3 m
Percent change to Percent to units Percent of different bases Mass Unchanged quantity Units table
175 P6.AP.TL.17090761
Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest circle?
2 m
Circle Overlapping area Fraction to units Ratio to units Unchanged total Units table
176 P6.DA.NK.21060912
Level 2 PSLE
Bella bought three types of fruit. The prices are given in the table.
The bar graph shows the number of each type of fruit bought.
  1. What fraction of the fruits Bella bought were mango? Give your answer in the simplest form.
  2. On which type of fruit did Bella spend the most? Give your answer in letter. (Eg Apples = A)
  3. How much did she spend on that type of fruit?
3 m
Bar graph Table Money Fraction of a set Min-max Number x value Units table
177 P6.PC.TL.16010138
Level 3
60% of the pupils are boys. 40% of the boys and 40% of the girls wear cardigans. What percentage of the pupils do not wear cardigans?
3 m
Finding percent Percent of a set Percent of different bases Branching Unchanged total Units table
178 P6.PC.TL.16010105
Level 3
Ethan and Ian share a sum of money. Ethan receives $2400. If Ethan gets $105 less, the amount of money Ian gets will increase by 35%. Find the sum of money that the boys share.
3 m
Percent change by Percent to units Money Internal transfer Unchanged total Units table
179 P6.RA.TL.16010180
Level 3
The amount of lemon syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of lemon syrup in both cups. Cup B contains 189 mℓ more water than Cup A. What is the amount of lemon syrup in Cup A? Leave the answer in mℓ.
3 m
Ratio to units Volume More than or less than Equal stage Units table Units manipulation
180 P6.PC.TL.16010107
Level 3
Carl was fixing a jigsaw puzzle. By the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 8 days, he fixed another 196 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?
3 m
Percent of a set Percent to units Percent of different bases Unchanged total Units table Units manipulation

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