Level 3
Find the values of A and B.
  1. A
  2. B
3 m
Level 3
Study the pattern. Find the values of A and B.
  1. A
  2. B
3 m
Level 3
Study the pattern. Find the values of A and B.
  1. A
  2. B
3 m
Level 3
The figure shows a 5-sided figure with diagonal lines drawn within it.
  1. Complete the table.
  2. Find the number of diagonals of a figure with 15 sides.
3 m
Level 3
Find the values of A and B.
  1. A
  2. B
3 m
Level 3
Look at the pattern on the right. At what position does the number '12' first appear?
3 m
Level 3
Find the missing number in the circle.
3 m
Level 3
The patterns show a sequence of shapes. Each shape has a number of small right-angled triangles. A dot is placed at each point where there is a vertex of one or more right-angled triangles. The total number of dots and the number of small right-angled triangles of each figure is shown in a table.
  1. Find the total number of dots required to form Pattern 4.
  2. Find the total number of dots required to form Pattern 20.
  3. Find the number of small right-angled triangles in Pattern 50.
3 m
Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.
  1. Find the total number of triangles in Pattern 80.
  2. Find the number of shaded triangles in Pattern 40.
  3. Find the number of unshaded triangles in Pattern 50.
3 m
Level 3
The diagram shows the number of blocks in the pattern.
  1. How many blocks will Pattern 4 have?
  2. How many blocks will Pattern 20 have?
  3. Which pattern has 211 blocks?
3 m