Level 3
The figure, not drawn to scale, is made up of 2 identical squares, ABCD and WXYZ. The length of each square is 10 cm. Point W is the centre of square ABCD.
  1. What fraction of the figure is shaded?
  2. What is the area of the unshaded parts?
4 m
Level 3 PSLE
Figure 1 shows a triangular card ABC with AC = CB. A number of such cards were arranged along the four sides of a rectangular board. Figure 2 shows part of the arrangement. A total of 28 pins were placed at an equal distance of 40 cm apart to hold the cards.
  1. Find the length of XY.
  2. Find the total area of the cards used.
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
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
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