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
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
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
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
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
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
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
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
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
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