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Level 3
The figure is made up for triangles drawn up to Layer 3.
  1. How many triangles will there be if it is drawn up to Layer 7?
  2. If there is a total of 60 triangles, how many layers are there in the figure?
4 m
Level 3
Observe the following figures.
  1. Find the number of small triangles in Figure 4.
  2. Find the number of small triangles in Figure 50.
  3. Find the number of sticks in Figure 100.
4 m
Level 3
The diagram shows the first three figures in a sequence of squares with shaded patterns. For each figure, a mathematical pattern is expressed as the following.

Figure 1: 1 + 3 = 4 = 2 x 2 total squares
Figure 2: 1 + 3 + 5 = 9 = 3 x 3 total squares
Figure 3: 1 + 3 + 5 + 7 = 16 = 4 x 4 total squares
  1. How many white squares are there in Figure 6?
  2. How many white squares are there in Figure 10?
  3. Find the sum of 1 + 3 + 5 + 7 + ... + 39.
4 m
Level 3
By considering the diagrams and the pattern developed in the table, answer the following questions.
  1. If there are 5 kids, find the number of handshakes.
  2. If there are 50 kids, find the number of handshakes.
  3. If there are 190 handshakes, how many kids are there?
4 m
Level 3
The equilateral triangles are formed using 2 cm-sticks.
  1. How many sticks are needed to form pattern 5?
  2. In which pattern will each side of the triangle measure 32 cm?
  3. Calculate the number of shaded triangles in Pattern 100.
5 m