31 P6.PA.JC.17111313
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
Equal intervals
32 P6.PA.JC.17111314
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
Equal intervals
33 P6.PA.JM.18011211
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
Equal intervals
34 P6.PA.JM.18011213
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
Equal intervals
35 P6.PA.NK.21060303
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
Equal intervals Length
36 P6.PA.JM.18011212
Level 3
The figure shows a 5-sided figure with diagonal lines drawn within it.
  1. Complete the table.
  2. Find the number of diagonals of a figure with 15 sides.
3 m
Repeated patterns Sum of conseutive
37 P6.PA.JC.21022201
Level 3
The following is a sequence of numbers.
  1. Find the 39th number.
  2. Find the 40th number.
3 m
Equal intervals Square numbers
38 P6.PA.JM.18011208
Level 3
Tina used stars and sticks to make the following patterns.
  1. How many stars are there in Pattern 5?
  2. If Tina counted 289 stars, which pattern number had she made?
  3. How many stars are there in Pattern 120?
3 m
Square numbers
39 P6.PA.JC.17111315
Level 3
Consider the pattern.
  1. What is the sum of Row 9?
  2. What is the sum of Row 50?
  3. If the sum is 2702, what is the row number?
3 m
Square numbers
40 P6.PA.JC.17111301
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
Equal intervals Square numbers

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