181 P6.AG.JC.23030112
Level 3 PSLE
The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
  1. Find the length of AE in terms of w. Give your answer in the simplest form.
  2. Find the total area of the figure when w = 16.
3 m
Algebra in 1 variable Algebra substitution Length Area perimeter Rectangle Isosceles triangle
182 P4.FR.JM.17101637
Level 2
Tom has 20 female guppies and 10 male guppies. If he gives away 5 female guppies and 5 male guppies, what fraction of the guppies left are female?
3 m
Fraction of a set F Simplest form
183 P5.RD.JM.17083119
Level 3
There are 20% as many green beads as red beads in May's collection of beads. The number of purple beads is 30% fewer than the number of red beads. There are 330 more purple beads than green beads.
  1. Find the total number of beads in the collection.
  2. What percentage are the number of red beads as compared to the number of purple beads? Leave your answer as a mixed number in its simplest form.
4 m
Mixed numbers Percent of a set Percent to units More than or less than Repeated identity Units table
184 P4.FR.JM.17101643
Level 2
Harris sold 8 cats, 5 hamsters and some birds. He sold 7 more birds than hamsters. What fraction of the total number of animals sold were hamsters?
3 m
Fraction of a set F Simplest form Model Comparison
185 P6.DA.TL.18011915
Level 2 PSLE
Carlo filled a container with water using two taps. He turned on Tap A first and after 4 minutes, he also turned on Tap B. Both taps were turned off at the same time when the container was completely filled without overflowing. The graph shows the amount of water in the container over 16 minutes.
  1. What fraction of the container was filled 4 minutes after Tap A was turned on? Express your answer in the simplest form.
  2. In one minute, how many litres of water flowed from Tap B?
3 m
Line graph Fraction of a whole Volume Filling tank Rate more than 1 object
186 P4.FR.JM.17101642
Level 2
There are 840 pupils in a school. 280 are girls. If 240 of the boys are Chinese, what fraction of the boys are not Chinese?
3 m
Fraction of a set F Simplest form
187 P5.DA.NK.23052603
Level 3
Sandra bought three types of fruits. The prices are given.
The bar graph shows the mass of each type of fruits Sandra bought.
  1. What fraction of the fruits Sandra bought were cucumber? Give your answer in the simplest form.
  2. Which type of fruits did Sandra spend the most money on? How much did she spend on that fruits? Give your answers in this format. (Eg 1, $1.20)
3 m
Bar graph Mass Money Unit conversion Fraction of a set Min-max
188 P6.FR.JC.17052905
Level 3
There were 4 more girls than boys in the classroom. Excluding 2 boys, the number of boys was 56 of the number of girls. When another 4 girls joined, what fraction of the pupils were girls? Give the answer in its simplest form.
3 m
Fraction of a set F Simplest form Fraction to units More than or less than Units equations Units table
189 P5.RA.JM.17083113
Level 3
The figure shows a rectangular piece of paper. It is cut into 3 parts, X, Y and Z. Find the ratio of the area of the rectangular piece of paper to the area of Y. Leave your answer in the simplest form.
4 m
Finding ratio R Simplest form Area Perimeter Rectangle
190 P4.FR.JM.17101650
Level 1
Daniel ate 18 of a cake. Melissa ate 38 of the same cake.
  1. What fraction of the cake did they eat together?
  2. What fraction of the cake was left?
3 m
Fraction of a whole F Simplest form F Addition & subtraction
191 P6.RD.TL.16010171
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Fraction to units Finding ratio R Simplest form Percent to units Percent of different bases More than or less than Equal stage after Repeated identity Common numerator Units table
192 P4.FR.JM.17103131
Level 2
Carla cut a pizza into 6 equal parts. She ate 2 slices and her brother ate 14 of the pizza. What fraction of the pizza was left?
3 m
Fraction of a whole F Simplest form F Addition & subtraction Model Part-whole
193 P4.FR.JM.17103160
Level 2
James bought a pizza and cut it into equal slices. He ate 512 of the pizza and his sister ate 16 of the pizza. What fraction of the pizza was left?
3 m
Fraction of a whole F Simplest form F Addition & subtraction
194 P4.FR.JM.17103147
Level 2
Jenny spent 15 of his money on a camera and 310 more of his money on a headphone than on the camera. What fraction of his money did he spend?
3 m
F Simplest form F Addition & subtraction Money Model Comparison
195 P4.FR.JM.17103158
Level 2
Mrs Lim cuts a cake into 12 equal slices. She gave 6 slices to her sister and 2 slices to her neighbour.
  1. What fraction of the cake was given to her sister?
  2. What fraction of the cake was left?
3 m
Fraction of a whole F Simplest form F Addition & subtraction
196 P4.DA.JM.17092709
Level 3
A sports shop had 300 ping-pong balls for sale. Each ping-pong ball is sold at $2. At the end of each day, the number of ping-pong balls was recorded in the bar graph shown.
  1. What fraction of the total number of ping-pong balls was left at the end of Day 3? Express your answer in its simplest form.
  2. If the shop decided to sell every 5 ping-pong balls at $9.30 from Day 4 onwards, how much less would it collect from the sale of the ping-pong balls?
4 m
Bar graph Money Fraction of a set Number x value More than or less than
197 P4.PA.JM.17092427
Level 3
Study the pattern. Each figure is made up of identical squares.
  1. What fraction of Figure 1 is shaded? Express your answer in the simplest form.
  2. What is the number of shaded squares in Figure 4?
  3. What is the number of unshaded squares in Figure 8?
4 m
Equal intervals Square numbers Fraction of a whole
198 P4.FR.NK.22120216
Level 2
Lea had a 6- kg bag of flour. She used 4 kg of the flour to bake a cake.
  1. What fraction of the flour did she use?
  2. What fraction of the flour is left?
3 m
Fraction of a whole F Simplest form F Addition & subtraction Mass
199 P5.SP.NK.23050640
Level 3
At first, 13 of Container B was filled with water and Container C was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 2.2 litres per minute. Both taps were turned off immediately when Container B was filled to the brim.
  1. How much water was there in Container B at first?
  2. How long did it take for the water from the tap to fill Container B to the brim?
  3. What fraction of Container C was filled with water in the end? Give your answer in the simplest form.
4 m
Rate more than 1 object Duration Unit conversion Volume of cuboid Filling tank Fraction of a whole F Addition & subtraction
200 P3.FR.JM.17103139
Level 2
Anna bought a piece of lace 1112 m long. She cut 23 m of it to tie a box. How many metres of lace had she left?
3 m
F Simplest form F Addition & subtraction Fractions with units Length Model Part-whole

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