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
6 P6.PA.JC.17111305
Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.
  1. Find the total number of triangles in Pattern 80.
  2. Find the number of shaded triangles in Pattern 40.
  3. Find the number of unshaded triangles in Pattern 50.
3 m
Repeated patterns Square numbers
7 P6.PA.JC.17111316
Level 3
The figure shows a series of steps built using square cubes. The n number of steps is given by x -step.
  1. How many square cubes were used if n is 5?
  2. How many square cubes were used if n is 40?
  3. Find the number of steps if a total of 144 square cubes are used.
3 m
Square numbers Sum of odd consecutive
8 P6.PA.JC.17111303
Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
  1. Find the number of tiles at the bottom layer in the 29th pattern
  2. Find the total number of tiles in Pattern 50.
3 m
Equal intervals Square numbers Sum of odd consecutive
9 P6.PA.JC.17111318
Level 3
The diagram shows the pattern for the number of circles.
  1. How many circles will Pattern 4 contain?
  2. How many circles will Pattern 30 contain?
  3. Which pattern contains 421 circles?
3 m
Repeated patterns Square numbers Guess & check
10 P6.PA.JM.18011219
Level 3
Study the number pattern carefully.
  1. What is the missing number in the 5th pattern?
  2. What is the missing number in the 32th pattern?
  3. If this number pattern goes on, which pattern number will give you 445?
4 m
Square numbers

5 per page

10 per page

20 per page

Symbols

x2
x3
₵
$
⊥
//
∠
°
π
%
:
\[ \]
STUDENT
Navigations
Contact Us
Members
Links