Level 3
Study the pattern carefully and answer the questions.
  1. What is the total number of dots and triangles in Figure 8 ?
  2. Which figure will have 63 dots?
  3. Which figure will have 200 triangles?
4 m
Level 3
Look at the figures. The rectangles represent tables and the dots represent chairs for guests at a party.
  1. How many tables will Figure 4 have?
  2. How many chairs will Figure 7 have?
  3. If there are 50 guests at the party, how many tables will be needed?
4 m
Level 3
The pattern is made up of squares and circles. Study the pattern carefully and answer the questions.
  1. How many squares are needed to form pattern 87?
  2. How many circles are needed to form pattern 6?
  3. How many circles are there in pattern 48?
4 m
Level 3
The figures are formed using sticks and dots. The table shows the number of sticks and dots used for each figure.
  1. Find (i).
  2. Find (ii).
  3. Which figure would need a total of 103 sticks and dots?
4 m
Level 3
The diagrams show a pattern made up of squares.
  1. How many squares are there in Pattern 6?
  2. How many sides are there in Pattern 5?
  3. What is the Pattern Number for 246 sides?
4 m
Level 3
The figure shows a pattern formed using some ice cream sticks.
  1. How many ice-cream sticks are used to form 15 squares?
  2. How many squares can be formed using 106 ice-cream sticks?
4 m
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
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