Level 3
The figures shows sequence of patterns of an arrangement of dots. '1st column' indicates the number of dots in the first column and the 'Total' indicates the number of dots in each pattern.
  1. Find the number of dots in Figure 9.
  2. Find the number of dots in Figure 20.
  3. If the first column of a figure is made up of 21 dots, find the number of dots that make up the figure.
3 m
Level 3
A rectangle has 6 seats around it (Figure 1). When arranged together, the rectangle has the following number of seats around it.
  1. How many seats are there if 4 rectangles are joined together?
  2. How many seats are there if 20 rectangles are joined together?
  3. Which figure has 362 seats together?
3 m
Level 3
In a school, students were told to design a series of patterns with triangles and squares. Ryan's group came up with the following series of patterns.
  1. How many squares did Ryan's group need to form pattern 20?
  2. How many triangles did Ryan's group need to form a pattern with 41 squares?
3 m
Level 3
Study the pattern.
  1. Complete the table.
  2. How many dots are there on each side of the triangle if the total number of dots on the triangle is 102?
3 m
Level 3 PSLE
Victoria hung some identical oval rings vertically. The thickness of each oval ring was 1 cm. The figure shows how the oval rings are connected.
  1. What was the distance from the top of the 1st oval ring to the bottom of the 3rd oval ring?
  2. The distance from the top of the 1st ring to the bottom of the last ring was 177 cm. How many oval rings did Victoria hang altogether?
3 m
Level 3
The following is a sequence of numbers.
  1. Find the 39th number.
  2. Find the 40th number.
3 m
Level 2
The first three figures of a sequence are shown. The table records the number of shaded and unshaded rhombuses in each figure.
  1. Find the number of unshaded rhombuses in Figure 10?
  2. Find the number of shaded rhombuses in Figure 40?
  3. Which figure number has 804 shaded rhombuses?
3 m
Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
  1. Find the number of tiles at the bottom layer in the 29th pattern
  2. Find the total number of tiles in Pattern 50.
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