201 P5.SP.JC.22020525
Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. Water flows into the tank from Tap A at a rate of 25 ℓ per minute. At the same time, water drains from the tank from Tap B at a rate of 18 ℓ per minute. How long would it take to completely fill the tank?
3 m
Rate more than 1 object Duration Volume of cuboid Filling tank Units conversion
202 P5.RD.JM.17083126
Level 3
At first, Beaker A and Beaker B contained 0.6 ℓ and 1.6 ℓ of water respectively. Some water from Beaker B was poured into Beaker A with no water spilling over. In the end, there was as much water in Beaker A as in Beaker B. How much water was poured from Beaker B to Beaker A?
3 m
D 4 operations Volume Equal stage after Internal transfer Unchanged total Units table
203 P5.RD.JM.17083306
Level 3
Shop X had 68 kg of salt and Shop Y had 128 kg of salt. After both shops sold an equal amount of salt, Shop X had 25 as much salt as Shop Y. How much salt did both shops sell?
3 m
Fraction to units Mass Times as many Unchanged difference
204 P5.ST.JC.18121098
Level 2
The ratio of Adam's money to Bryan's money is 4 : 3.
The ratio of Bryan's money to Chris' money is 2 : 1.
The total amount that they have is $510.
How much more money does Adam have than Chris?
3 m
Ratio to units Repeated identity Units table
205 P5.RD.PR.17083249
Level 3
The figure is made up of 2 squares of different sizes. The area of the small square is 50% of the area of the big square. The overlapped shaded area is 20 cm2. The area of the unshaded small square is 25 the area of the unshaded big square. Find the area of the small square.
3 m
Fraction to units Finding ratio Area Perimeter Square Overlapping area Unchanged difference Units table
206 P5.RA.JM.17083138
Level 3
Jermaine had a piece of wire 140 cm long. He used it to form a rectangle with its length and breadth in the ratio 3 : 2.
  1. What is the length of the rectangle?
  2. What is the area of the rectangle?
3 m
Ratio to units Area Perimeter Rectangle Units method
207 P5.ST.JC.18121099
Level 3
In a school, the ratio of adults to the number of children is 12 : 7.
The ratio of the number of boys to the number of girls is 3 : 2.
There are 70 more boys than girls.
How many people are there in the school?
3 m
Ratio to units Combined repeated identity Units table
208 P5.PC.JM.17083211
Level 2
45% of Julia's allowance is equal to 8313% of Leonard's allowance. If Julia's allowance is $92 more than Leonard's, find their combined allowances.
2 m
Percent to fraction Percent to units Improper fractions Mixed numbers F Simplest form F Multiplication Money More than or less than Common numerator Units method
209 P5.ST.JC.18121100
Level 3
Adam receives his allowance of $250.
The ratio of Adam's spending to Adam's saving is 2 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 4.
  1. How much does Adam save?
  2. How much less does Adam spend on food than other expenses?
3 m
Ratio to units Combined repeated identity Remainder concept Units table
210 P5.DE.NK.22122322
Level 2
Seth paid $24 for an equal number of shirts and vests. Each vest cost $4.50. Each shirt cost $3 more than each vest. How many shirts did she buy?
2 m
D 4 operations Money Unit conversion More than or less than Equal stage Number x value Units table
211 P5.ST.JC.18121101
Level 3
Adam receives his allowance of $250.
The ratio of Adam's spending to Adam's saving is 2 : 3.
The ratio of Adam's spending on food to the remaining expenses is 1 : 4.
  1. What fraction of his allowance is spent on food?
  2. What fraction of his allowance is spent on the remaining expenses?
  3. How much did he spend on food?
3 m
F Multiplication Combined repeated identity Remainder concept Branching Units table
212 P5.DE.NK.23021733
Level 2
Brandon spent $74 on a table tennis bat and 6 ping pong balls. The table tennis bat cost $39.70 more than each ping pong ball. How much did he pay for the table tennis bat?
2 m
D 4 operations Money More than or less than Number x value Units table
213 P5.RD.JM.17083147
Level 3
Renee had $420 less than Tom. Tom spent 0.6 of his money and Renee spent 0.5 of her money. In the end, Tom and Renee had the same amount of money left. Find the amount of money Renee had at first.
3 m
Decimal to units Money More than or less than Equal stage after Common numerator All change Units table
214 P5.ST.JC.18121102
Level 2
The ratio of the number of girls to the number of boys is 3 : 5.
Each girl is given 4 stickers.
Each boy is given 2 stickers.
The total number of stickers is 220.
  1. How many children are there?
  2. How many more boys than girls are there?
  3. How many more stickers are given to the girls than the boys?
3 m
Ratio to units Number x value Units table
215 P5.DE.NK.22122321
Level 2
Betty paid $9 for 3 macarons and 5 pies. A pie cost thrice as much as a macaron.
  1. Find the cost of a macaron in cents.
  2. How much more did she pay for a pie than a macaron?
2 m
D 4 operations Money Unit conversion More than or less than Times as many Number x value Units table
216 P5.PA.JM.17083166
Level 3
Corie spent 3 days making some bread for sale. Each day, she made 18 more bread than the day before. She made a total of 141 bread. How many bread did she make on the first day?
3 m
Equal intervals More than or less than Units method
217 P5.RD.JM.17083143
Level 3
At a wedding function, the ratio of the number of men to the number of women was 13 : 5. If 35% of the women left, what percentage of the men must leave so that there will be an equal number of men and women remaining?
3 m
D division Ratio to units Percent of a set Equal stage after All change Units table Decimal units
218 P5.ST.JC.18121103
Level 2
The ratio of the number of girls to the number of boys is 3 : 5.
Each girl is given 4 stickers.
Each boy is given 2 stickers.
The total number of children is 80.
  1. How many stickers are given to the children?
  2. How many less girls than boys are there?
  3. How many less stickers are given to the boys than the girls?
3 m
Ratio to units Number x value Units table
219 P5.ST.JC.18121104
Level 3
A special tea is a mixture of three kinds of tea leaves A, B and C in the ratio 5 : 3 : 2.
1 kg of each kind of tea leaves costs $4, $20 and $10 respectively.
What is the cost of 15 kg of this special tea?
3 m
Ratio to units Sets Units method
220 P5.AP.JM.17083218
Level 2
In the figure not drawn to scale, the area of Triangle X is 35 of the area of Triangle Y. Given that the area of Triangle ABC is 72 cm2, Find the area of Triangle Y.
2 m
Triangle Composite figure area Fraction to units Units method

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