Level 3 PSLE
In the figure, ABCD is a rectangle and AED is a right-angled triangle with sides measuring 30 cm, 40 cm and 50 cm. The perimeter of the shaded part is 176 cm. What is the ratio of the area of the triangle to the area of the shaded part? Give your answer in the simplest form.
4 m
Level 3 PSLE
The figure shows a rectangular grass patch and an L-shaped footpath. The width of the footpath is 100 cm. The footpath is tiled using 38 circular tiles of diameter 50 cm, following the pattern shown. Each tile is in contact with those next to it.
  1. What is the area of the footpath not covered by the tiles? Take π = 3.14.
  2. What is the perimeter of the grass patch?
4 m
Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?
4 m
Level 3
The figure shows a rectangle WXYZ. The lines are extended from point W, X, Y and Z and they meet at point B. The length of YZ is 30 cm. Given that the area of triangle WBZ is 65 cm2 and the area of triangle XBY is 105 cm2, find the breadth of the rectangle in mixed number.
4 m
Level 3 PSLE
In the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. CEF and HEG are straight lines.
  1. Find ∠FGH.
  2. Find ∠ECH.
4 m
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
  1. Find ∠CGD.
  2. Find ∠GFE.
4 m
Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
  1. Find the area of the rectangular piece of paper.
  2. Find the total area of X, Y and Z in Figure B.
4 m
TRY FOR FREE
Level 3 PSLE
A plot of land which had an area of 876 m2 was divided into three portions of equal width. These portions were fenced using 177 m of fence as shown.
  1. Find the length of AB.
  2. Find the perimeter of the plot of land.
4 m
Level 3
Ben has a white rectangular card which is grey on the other side. He folds the card along its diagonal ED. Find
(a) ∠a
(b) ∠b
(c) ∠c
4 m
Level 3
On a rectangular plot, a horse is tied to a pole at a corner of the hut which measures 18 m by 6 m. The hut is at the centre of the rectangular grass patch and there is a 14 m wide border of grass patch around it. Given that the rope is 12 m long,
  1. what is the maximum grass patch area that the horse can feed on?
  2. find the total area of the grass patch that the horse cannot feed on. (Take π = 3.14)
4 m