Level 3
The following is a sequence of structures made by joining identical cubes with 1-cm sticks as edges.
  1. How many sticks are needed to make structure 10?
  2. How many sticks are needed to make structure 100?
  3. A structure is made using 252 sticks. Which structure is it?
3 m
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