141 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
142 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
143 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
144 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
145 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
146 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
147 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
148 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
149 P5.RD.JM.17083213
Level 3
50% of Amin's money was $350 less than Dave's money. When Amin spent 45% of her money and Dave spent 60% of his money, they had the same amount of money left. Find the amount of money Dave had at first.
4 m
Percent of a whole Percent to units Percent of different bases Money More than or less then Equal stage after Common numerator All change Units table
150 P5.RA.JC.17083290
Level 3
In January, Anna and Ryan had stamps in the ratio 5 : 2. In February, each of them gave away the same number of stamps. Anna then had thrice as many stamps as Ryan.
  1. Find the ratio of the number of stamps Ryan had in January to the number of stamps he had in February.
  2. Find the ratio of the total number of stamps both had in January to the total number of stamps both had in February.
4 m
Finding ratio R Simplest form Ratio to units Times as many Unchanged difference Units table
151 P5.ST.JC.18121167
Level 3
If Adam gives Bryan 30 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 3 stickers,
the number of stickers that Adam will have is 40% of Bryan's.
  1. How many stickers does Adam have?
  2. How many stickers does Bryan have?
4 m
Percent of a set Percent to units Internal transfer Unchanged total Double if Units table Units equations
152 P5.RA.JC.17083299
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
4 m
Ratio to units Area Perimeter More than or less than Unchanged difference Units table
153 P5.ST.JC.18121171
Level 3
Adam has some blue stickers and red stickers.
If 500 blue stickers are added, 30% of the stickers will be red stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units All change Double if Units table Units & parts
154 P5.RD.NK.22123024
Level 3
Justin had $59.10 less than Betty. He spent 57 of his money on a stapler which cost $10.50. Betty spent 29 of her money on a vest. How much had Betty left?
4 m
F Addition & subtraction Fraction to units Money All change Units table Units & parts Substitution
155 P5.RD.JM.17083331
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
4 m
Fraction of a whole Fraction to units Percent to units Money More than or less than All change Units table Units & parts Elimination
156 P5.ST.JC.18121172
Level 3
Adam has some blue stickers and red stickers.
If 300 blue stickers are removed, 25% of the stickers will be blue stickers.
If 200 red stickers are removed, 20% 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 All change Double if Units table Units & parts
157 P5.DA.JM.17083176
Level 3
The average mass of a group of girls was 37 kg. When Jamie, a girl, joined the group, the average mass of the group became 34 kg. If Jamie had a mass of 22 kg, how many girls were there in the group in the end?
3 m
2 Averages Average with unknown quantity Mass Number x value Units equations Units table
158 P5.ST.JC.18121173
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are removed, 75% of the stickers will be blue stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units All change Double if Units table Units & parts
159 P5.RA.NK.22123018
Level 3
The ratio of the number of $2-notes to $10-notes in Dana's bag was 1 : 3. Dana exchanged 14 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Dana's bag at first?
4 m
Ratio to units Money Equal stage after Number x value Proportional exchange Units equations Units table
160 P5.DA.NK.23052625
Level 3
The average height of some boys is 145 cm. When 3 girls, with a total height of 393 cm, are included, the average height if the children becomes 142 cm. How many children are there altogether?
3 m
2 Averages Average with unknown quantity Length Number x value Units equations Units table

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