Level 3
The figure is made up of 2 rectangles A and D and 2 squares B and C. Find the area of the figure.

Level 3
Study the pattern carefully.

1. How many shaded squares are there in Pattern 4?
2. How many squares are there altogether in Pattern 7?
3. In which pattern will you find 37 shaded squares?

Level 3
The figure is made up a rectangle and a square.

1. Find the perimeter of the figure.
2. Find the area of the figure.

Level 3
The diagram shows a sequence of patterns formed by identical triangles. Find the values of (i), (ii) and (ii). Give your answers in the following format. (Eg 1, 2, 3)

1. A figure in the pattern has a total of 169 triangles. What is the Figure Number?
2. Another figure has 50 more shaded triangles than unshaded triangles. What is the total number of triangles in this figure?

Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.