1 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
2 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
3 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
4 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
5 P6.PA.JC.17111306
Level 3
The patterns show a sequence of shapes. Each shape has a number of small right-angled triangles. A dot is placed at each point where there is a vertex of one or more right-angled triangles. The total number of dots and the number of small right-angled triangles of each figure is shown in a table.
  1. Find the total number of dots required to form Pattern 4.
  2. Find the total number of dots required to form Pattern 20.
  3. Find the number of small right-angled triangles in Pattern 50.
3 m
Repeated patterns Square numbers

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