Level 3
Each of the figures is made up of 1-cm sticks.
The table shows the number of sticks used to make the figures and their perimeters.

1. Find the number of sticks in Figure 12.
2. What is the perimeter of Figure 177?
3. Which figure requires a total number of 4007 sticks?

Level 3
Each figure is made up of a number of identical sticks of 1-cm length.

1. Find the perimeter of Figure 50.
2. Find the number of sticks in Figure 100.
3. Given that a figure has a perimeter, P, of 254 cm, find the number of squares in this figure.

Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm² more than the area of the rectangle, find the width of the shaded rectangle that is being removed.

Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.

Level 3
The perimeter of triangle A is equal to that of rectangle B.

1. Find the length of rectangle B in terms of k.
2. If k = 3, find the area of rectangle B.

Level 2
The figure is made up of a square and a rectangle. The area of the square is ¹₃ the area of the rectangle. Given that ¹₂ of the square is shaded, what fraction of the whole figure is unshaded?