Level 3
In the figure, the unshaded rectangle WXYZ has a perimeter of 20 cm. A square is constructed on each of its sides. If the total area of the squares is 80 cm2, find the area of the unshaded rectangle.
3 m
Level 3
In the figure, not drawn to scale, JKLM is a square. PKL is an equilateral triangle. What is ∠PQN?
3 m
Level 3
Rectangle WXYZ is made up of an unshaded rectangle, an unshaded square and two shaded rectangles. The area of the square is 25 cm2 and the perimeter of the unshaded rectangle is 78 cm. What is the total area of the 2 shaded rectangles?
3 m
Level 3
Study the number pattern carefully.
  1. What is the missing number in the 5th pattern?
  2. What is the missing number in the 32th pattern?
  3. If this number pattern goes on, which pattern number will give you 445?
4 m
Level 3
May added a certain number of white squares round a grey square and then a certain number of grey squares round the white squares and she continued adding more grey and white squares round the diagram in each pattern as shown.
  1. How many grey squares did she need if the most outer layer had 11 squares on each side?
  2. How many squares are there in the Figure 11?
4 m