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