Level 3
Using dots to form a series of inverted T-shaped patterns, the first three patterns are as shown. Find the number of dots needed to form the following patterns.
  1. Pattern 4
  2. Pattern 50
  3. Pattern 150
3 m
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 2
Benny swam for 3 days. On each day, he would do 2 more laps than the previous day. He did y number of laps on the first day. What was the total number of laps he did for the 3 days? Give your answer in terms of y.
2 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