Level 3
Study the pattern. Each figure is made up of identical blocks.
  1. How many blocks are used to form Figure 4?
  2. How many more blocks are used to form Figure 6 than Figure 3?
4 m
Level 3
During a gathering, 5 people shook hands only once with each other. How many times did they shake hands?
4 m
Level 3
How many circles are there in pattern 8?
4 m
Level 3
The figures are made up of squares. Study the patterns carefully. How many squares would Figure 7 have?
4 m
Level 3
The following is made up of identical triangles. Study the pattern carefully.
  1. Complete the table for Figure 4.
  2. A figure number in the pattern has a total of 144 triangles. What is the figure number?
4 m
Level 3
James formed some figures using squares and circles as shown
  1. Find the number of squares in Figure 6.
  2. Find the total number of circles and squares in Figure 10.
  3. A figure in the pattern has a total of 6481 circles and squares. What is the Figure Number?
4 m
Level 3
Look at the pattern.
  1. Find the total number of squares in Pattern 4.
  2. How many shaded squares will there be in Pattern number 15?
4 m
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Level 3
The diagram shows toothpicks used to arrange the following patterns. The rest of the figures follow the same pattern.

Figure 1 uses 4 toothpicks.
Figure 2 uses 10 toothpicks.
Figure 3 uses 18 toothpicks.

  1. How many squares are in Figure 10?
  2. How many toothpicks are used to make Figure 59?
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Level 3
The graph shows 3 figures formed by shaded and white triangles.
  1. Complete the column for Figure 5. Give your answers for (i) and (ii) in numbers. (Eg 1, 2)
  2. What is the total number of triangles in Figure 16?
  3. How many shaded triangles are there in Figure 40?
4 m
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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?
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