Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
3 m
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
3 m
Level 3
A picture is mounted on a frame measuring 24 cm by 16 cm. It has a border of 4 cm around it. Find the area of the picture.
3 m
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
The figure shows a rectangular field which measures 80 m by 46 m. There is one 2 m wide footpath surrounding the field. Find the area of the footpath.
3 m
Level 3
A swimming pool measures 18 m by 9 m. It is surrounded by a path which is 4 m wide as shown. What is the area of the path?
3 m
Level 3
Rectangle WXYZ is made up of 3 identical squares. Given that the perimeter of Rectangle WXYZ is 80 cm, find the total area of the unshaded parts.
3 m
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Level 3
The figure is made up of two shaded triangles within a rectangle. Find the area of the unshaded part.
3 m
Level 3
Find the area of the figure.
3 m