Level 3
The first four figures of a pattern as shown.

The table shows the number of dots and the number of non-overlapping triangles for each figure.
  1. Find the values of (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. What is the number of dots in Figure 10?
  3. In which Figure number will there be 106 dots?
4 m
Level 3
During a rehearsal, 25 pupils were standing in a line at equal distances. The distance between the first and the fourth pupil was 2.7 m. What was the distance between the first and the last pupil?
3 m
Level 3
Study the series of figures carefully.
  1. Find the number of sticks needed in Figure 24.
  2. Find the number of dots needed when 413 sticks are used.
4 m
Level 3
Read the pattern and complete the table.
  1. Find the number of circles In Figure 8.
  2. Find the figure number that would require a total number of 193 rectangles and circles altogether.
4 m
Level 3
Jim used grey and white squares to create the patterns.
Use the patterns that he has created to answer the following questions.
  1. How many squares will there be in Pattern 15?
  2. Which pattern will be made up of 176 squares?
4 m