Level 3
The patterns are made up of identical shaded and identical unshaded squares.

  1. Find the total number of squares in Pattern 4.
  2. Find the number of unshaded squares in Pattern 4.
  3. Which Pattern Number has a total of 100 squares?
4 m
Level 3
Study the pattern. Each figure is made up of identical squares.
  1. What fraction of Figure 1 is shaded? Express your answer in the simplest form.
  2. What is the number of shaded squares in Figure 4?
  3. What is the number of unshaded squares in Figure 8?
4 m
Level 3
The square on the right has the same perimeter as the rectangle on the left. Find the area of the square.
3 m
Level 3
A tank with a square base of 10 cm was 13 filled with water After another 4500 cm3 of water was poured into the tank, it became 34 full.
  1. Find the capacity of the tank in litres.
  2. Find the final height of the water in the tank.
3 m
Level 3
Figure A is a square with a perimeter of 56 cm. Figure B is a rectangle with breadth of 7 cm. Given that both figures have the same area, find the perimeter of Figure B.
3 m