Level 3
In the figure, ABCD and DEFG are squares. Find the area of the shaded triangle ACF.
4 m
Level 3 PSLE
In the figure, ABFG is a parallelogram and CDEF is a rhombus. GFE is a straight line. ∠BAG = 53°, ∠FBC = 27° and ∠DCE = 35°.
  1. Find ∠BFC.
  2. Find ∠BCD.
4 m
Level 3
In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.
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 PSLE
In the figure, ABD and FED are straight lines and EB is parallel to DC. ∠EFA is a right angle, ∠FAB = 45°, ∠ABC = 105° and ∠DEB = 60°.
  1. Find ∠ABE.
  2. Find ∠BCD.
4 m