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.
4 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
A pattern is made by putting shaded squares of unit length around a white square of similar unit length. He then continues to make patterns as shown in Figure 2 and Figure 3.
  1. Which figure uses 100 white squares?
  2. Find the number of shaded squares in Figure 30.
  3. Find the total number of squares in Figure 60.
4 m
Level 3
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
4 m
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.
4 m