Level 3
A series of patterns of shaded and unshaded small triangles is shown.

1. Which pattern has 141 shaded triangles?
2. Find the number of unshaded triangles in Pattern 40.
3. Find the total number of triangles in Pattern 90.

Level 3
Haoming made patterns using squares and sticks and recorded the pattern in the table shown.

1. How many squares are needed for Figure 20?
2. How many sticks are needed for Figure 20?
3. Which figure needs a total of 115 sticks?

Level 3
The diagram shows 3 squares, the length of which are 1 cm, 2 cm and 3 cm respectively. Each square is made up of small squares which has a length of 1 cm and alternate squares are coloured grey and white.

1. How many small grey squares are needed to create a square of side 11 cm?
2. Find the length of the side of a square if 196 small grey and white squares are used to create it.
3. Find the number of small white squares when a square of side 18 cm is created?

Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?

Level 3
Squares of sides 2 cm are arranged to create a pattern as shown.

1. Find the number of squares needed for Figure 20.
2. Find the area of Figure 10.
3. Find the perimeter of Figure 40.