361 P5.RA.JC.17083240
Level 3
Janet had some pencils, erasers and rulers. The ratio of the number of pencils to the number of erasers was 5 : 1. After giving away 16 erasers, the ratio of the number of rulers to the number of erasers was 4 : 1. Janet bought another 184 rulers. As a result, there were an equal number of pencils and rulers. How many erasers did she have at first?
4 m
Ratio to units Equal stage after Unchanged quantity Units equations Units table
362 P5.RD.JM.17083302
Level 3
Titus bought some custard and apple pastry puffs in the ratio of 7 : 6. After Titus's classmates ate an equal number of the two types of pastry puffs, there were 35% fewer apple than custard pastry puffs. In the end, there were 165 pastry puffs left. How many pastry puffs of each type were eaten?
4 m
Ratio to units Percent to units More than or less than Equal stage Unchanged difference Units table
363 P5.ST.JC.18121164
Level 3
Adam has some blue stickers and red stickers.
If 50 blue stickers are added, 70% of the stickers will be red stickers.
If 200 blue stickers are added, 40% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units Unchanged quantity Double if Units table Units equations
364 P5.PC.JC.17083122
Level 3
Jane's savings is 20% more than Darwin's savings. If Jane's savings is decreased by 20%, their total savings will be $980. How much is Jane's savings?
3 m
Percent change by Percent of different bases Money More than or less than Unchanged quantity Units table Decimal units
365 P5.ST.JC.18121165
Level 3
Adam has some blue stickers and red stickers.
If 50 blue stickers are removed, 40% of the stickers will be red stickers.
If 200 blue stickers are removed, 70% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units Unchanged quantity Double if Units table Units equations
366 P5.DA.JM.17083191
Level 3
A list of 13 numbers has an average of 330. When two numbers are deleted from the list, the average of the remaining numbers is 313.
  1. What is the sum of 13 numbers?
  2. What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 1?
3 m
Averaging out 2 Averages More than or less than Units method
367 P5.RA.JC.17083266
Level 3
At first, Xandy, Yoko and Zach had some sweets in the ratio 5 : 3 : 4 respectively. Xandy had 190 sweets. Then he gave all his sweets to Yoko and Zach. After receiving the sweets from Xandy, Yoko and Zach had the same number of sweets. How many sweets did Yoko receive from Xandy?
4 m
Ratio to units Equal stage after Internal transfer Unchanged total Units table
368 P5.ST.JC.18121166
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are added, 40% of the stickers will be red stickers.
If 50 blue stickers are removed, 70% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units Unchanged quantity Double if Units table Units equations
369 P5.AP.JM.17083117
Level 3
The figure shows a garden in the school with two ponds beside each other. The koi pond is a square pond with an area of 64 m2 . The area of the rectangular turtle pond is 34 of the area of the koi pond. The length of the grass patch is twice the breadth of the grass patch.
  1. What is the breadth of the turtle pond?
  2. What is length of the grass patch?
3 m
Square Rectangle Fraction to units Times as many
370 P5.RA.JC.17083253
Level 3
Container A and Container B had some liquid in the ratio 7 : 5. After 48 litres of liquid was transferred from A to B, the amount of liquid in Container B became 3 times as much as in Container A. How much liquid were there in the two tanks in all?
4 m
Ratio to units Volume Times as many Internal transfer Unchanged total Units table
371 P5.ST.JC.18121168
Level 3
Adam has some blue stickers and red stickers.
If Adam receives another 60 blue stickers,
the blue stickers will be 80% as many as the red stickers.
If Adam receives another 300 red stickers,
the blue stickers will be 20% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent to units Unchanged quantity Double if Units table Units & parts Substitution
372 P5.DE.NK.22122003
Level 2
A blouse costs $4.50 more than a shirt. A skirt costs $15.20 more than the blouse. Jelly bought 5 of each item. She paid $376 for them. How much did she pay for the skirts she bought?
3 m
D 4 operations Sets Money More than or less than Times as many Model Units method
373 P5.DA.NK.23052623
TRY FOR FREE
Level 3
The average height of a group of 6 girls is 137 cm. When Kathy and Nicole joined the group, the average height increased by 4 cm. What is Kathy and Nicole's total height?
3 m
Attempt
Averaging out 2 Averages Length Number x value Units table
374 P5.AP.JM.17083110
Level 3
The length of a rectangular table top is 215 m. Its breadth is 57 of its length. 14 of the table top is painted. What is the area of the table top that is painted? Give your answer as a mixed number in its simplest form.
3 m
Rectangle F Simplest form Fractions with units Mixed number Fraction to units
375 P5.RA.JC.17083130
Level 3
Amanda and Joe have some books in the ratio 3 : 7. Amanda has 72 less books than Joe. How many books must Joe give to Amanda so that they will have the same number of books?
4 m
Ratio to units More than or less than Equal stage after Internal transfer Unchanged total Units table
376 P5.ST.JC.18121169
Level 3
Adam has some blue stickers and red stickers.
If Adam gives away 50 blue stickers,
the blue stickers will be 10% as many as the red stickers.
If Adam gives away 250 red stickers,
the blue stickers will be 40% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent to units All change Double if Units table Unchanged quantity Units & parts Substitution
377 P5.RD.NK.22123011
Level 3
Emma and Peter had a total of $47. After Emma spent 37 of her money and Peter spent $2, the ratio of Emma's money to Kenneth's money became 1 : 2. How much money had Peter at first?
4 m
Fraction to units Ratio to units Repeated identity All change Units table
378 P5.AP.JM.17083111
Level 3
The length of the Rectangle VWXY is 10 13 m. Its breadth is 2 15 m shorter than its length. Find the perimeter of Rectangle VWXY in metres. Express your answer as a mixed number in its simplest form.
3 m
Rectangle F Simplest form Fractions with units Mixed number More than or less than
379 P5.RD.JM.17083322
Level 3
The number of lava cakes on display at a cafe was 34 of the number of cupcakes on display. After 20 lava cakes were bought and the staff added another 30 cupcakes, the number of cupcakes was twice the number of lava cakes. The last group of customers bought 5 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
4 m
Fraction to units Times as many Repeated identity All change Units table Units equations
380 P5.ST.JC.18121170
Level 3
Adam has some blue stickers and red stickers.
If Adam receives another 50 blue stickers,
the blue stickers will be 50% as many as the red stickers.
If Adam gives away 50 red stickers,
the blue stickers will be 40% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent to units All change Double if Units table Unchanged quantity Units & parts Substitution

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