161 P5.AP.NK.23041258
Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
4 m
Square Square & square root Rectangle Length Fraction to units Units method
162 P5.FR.NK.22122327
Level
Neave's shop sells shirts and blouses. A shirt is sold at $88 and a blouse is sold at 14 of the price of the shirt. On Sunday, Neave sold 89 of the items in his shop and collected $2244. 38 of the items sold were shirts. How many items were unsold after Sunday?
4 m
F Multiplication Fraction to units Number x value Units table
163 P5.FR.JM.17083015
Level 3
A sum of $728 is divided among a group of people. 78 of the people receive $4 each, 13 of the remainder receive $3 each and the rest receive $2 each. How many people are there altogether?
4 m
Fraction of a set Fraction to units F Multiplication Money Remainder concept Number x value Units table
164 P5.FR.JM.17083006
Level 3
Tickets for a drama performance were sold to senior citizens, adults and children at different prices as shown.
14 of the tickets sold were bought by senior citizens and 13 of them were bought by adults. The rest were bought by children.
  1. What fraction of the tickets sold that were bought by children?
  2. A total amount of $2240 was collected from the sale of the tickets. How many children bought the tickets?
4 m
Fraction of a set F Addition & subtraction Fraction to units Number x value Units table
165 P5.FR.NK.23021768
Level 3
Oscar had some apricot shortbreads and apple shortbreads. 49 of the number of apricot shortbreads was equal to 18 of the number of apple shortbreads. After Oscar made 279 more apricot shortbreads, the number of apricot shortbreads was 54 of the number of apple shortbreads. How many shortbreads did he have altogether in the end?
4 m
Fraction to units Common numerator Unchanged quantity Units table
166 P5.FR.NK.22122909
Level 3
Ryan had $200 more than Riordan at first. Ryan gave $70 to Riordan. As a result, Riordan has 56 as much money as Ryan. How much money had each of them at first?
  1. Ryan
  2. Riordan
4 m
Fraction to units Money More than or less than Internal transfer Units equations Units table
167 P5.FR.NK.22122911
Level 3
Yesterday, Ivan had 56 more marbles than Daniel. Today, Ivan gave Daniel 58 of his marbles. As a result, he has half as many marbles as Daniel now. How many marbles did Ivan have yesterday?
4 m
Fraction to units Money More than or less than Repeated identity Internal transfer Units table
168 P5.AP.JM.17083191
Level 3
In the figure, a rectangular piece of paper measuring 26 cm by 18 cm is folded at the Corner D in such a way that BD is 13 of its breadth. Find the area of Triangle ABD.
4 m
Rectangle Folded figure Fraction to units
169 P5.AP.JM.17083162
Level 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is 25 of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm2. Find the area of the unshaded triangles.
4 m
Rectangle Triangle Triangle common base Fraction to units More than or less than
170 P5.FR.NK.22122915
Level 3
A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: canoeing, rugby or fencing. 57 of them voted for either canoeing or rugby. 25 of them for either rugby or fencing. 48 of them voted for rugby. How many students took part in the survey?
4 m
Fraction to units Unchanged total Units table
171 P5.FR.NK.22122918
Level 3
Daniel's age is 19 of his uncle's. His uncle will be 41 years old in 5 years' time. In how many years' time will Daniel's age be 37 of his uncle's?
4 m
Fraction to units Unchanged difference Units table Units & parts Substituition
172 P5.FR.JM.17083025
Level 3
Mr Poh is 30 years older than his son. 5 years from now, his son will be 13 of his age while his daughter will be 35 of his son's age. Express his daughter's present age as a fraction of Mr Poh's present age. Leave your answer in its simplest form.
4 m
F Simplest form Fraction to units More than or less than Repeated identity Unchanged difference Units table
173 P5.FR.JC.17083152
Level 3
There were 350 adults enrolled in the Adult Cooking School in 2009. 27 of the adults were women. Additional adults joined the cooking school in 2010. For every 2 women who joined the cooking school, 1 man joined the cooking school. If there was an equal number of men and women in 2010, how many men joined the school in that year?
4 m
Fraction to units Equal stage after All change Units equations Units table
174 P5.FR.JC.17083133
Level 3
Terry had a total of 430 red and blue balloons. After giving away 59 of the red balloons and 66 blue balloons, there was an equal number of red and blue balloons left. How many red balloons did he have at first?
4 m
Fraction to units Equal stage after All change Units table
175 P5.FR.JC.17083136
Level 3
Nicola used 47 of her red stickers and 35 of her blue stickers to decorate her diary. In the end, she had an equal number of red stickers and blue stickers left. Given that Nicola had a total of 377 red and blue stickers at first, how many blue stickers did she use to decorate the diary?
4 m
Fraction to units Equal stage after All change Units table
176 P5.FR.NK.22123007
Level 3
Winnie and Neave went shopping with a total of $44. After Winnie spent 13 of her money and Neave spent 34 of his money, they each had an equal amount of money left. How much money did they spend altogether?
4 m
Fraction to units Money Equal stage after All change Units table
177 P5.FR.NK.22123008
Level 3
Nick, Warren and Paul bought some biscuits. After Nick ate 25 of his biscuits, Warren ate 34 of his biscuits and Paul ate 12 biscuits, each of them had the same number of biscuits left. Nick had 63 less biscuits than Warren at first.
  1. How many biscuits did Nick have at first?
  2. How many biscuits did the 3 of them buy altogether?
4 m
Fraction to units Equal stage after More than or less than All change Units table
178 P5.FR.NK.23021751
Level 3
Sean and Pierre had an equal number of books. Sean donated 18 of her books and Pierre donated 15 of his books. Pierre donated 12 more books than Sean. How many books did Pierre have at first?
4 m
Fraction to units More than or less than Equal stage before All change Units table
179 P5.FR.NK.22123010
Level 3
At first, George, Paul and David had the same amount of money. After David spent some of his money, George spent 38 of his money and Paul spent 35 of his money, George had $198 more than Paul. In the end, the total amount of money the three boys had left was $946. How much money did David spend?
4 m
Fraction to units Money Equal stage before More than or less than All change Units table
180 P5.FR.NK.23021750
Level 3
Ivan and Ryan earned the same amount each month. Ivan saved 34 of his pay and Ryan saved 25 of his pay. Ivan saved $160 more than Ryan in a month. How much did Ryan save in a month?
4 m
Fraction to units Money Equal stage before All change Units table

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