31 P4.PA.NK.23042602
Level 3
The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
  1. How many squares will there be in Pattern 18?
  2. Which pattern is formed with 134 squares?
4 m
Equal intervals Square
32 P4.PA.NK.23042603
Level 3
Karen uses sticks and buttons to form figures that follow a pattern. The first four figures are shown.

  1. The table shows the number of sticks and buttons Karen used to each figure. Complete the table for Figure 5 (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. A figure in the pattern has a total of 131 buttons. What is the figure number of that pattern?
  3. How many sticks are there in Figure 16?
4 m
Equal intervals
33 P4.PA.NK.23042604
Level 3 The table shows the number of sticks used to form each figure.

  1. Complete the table for Figure 5 (a) and (b). Give your answers in the following format. (Eg 1, 2)
  2. Which figure would have a total of 56 dots?
  3. How many sticks would be used for Figure 97?
4 m
Equal intervals
34 P4.PA.NK.22120827
Level 3
Look at the pattern.
  1. What is the perimeter of Figure 5?
  2. What is the area of Figure 7?
  3. What is the perimeter of Figure 7?
4 m
Equal intervals Area Perimeter
35 P4.PA.NK.23042606
Level 3
Alicia uses sticks to form figures that follow a pattern. The first five figures are shown.
  1. The table shows the number of sticks used for each figure. What is the number of sticks used for Figure 6?
  2. What is the difference in the number of sticks Alicia would use for Figure 9 and Figure 11?
  3. In which figure number would Alicia use 40 sticks?
4 m
Equal intervals Odd even
36 P4.PA.JM.17092426
Level 3
Study the table carefully.
  1. How many dots are there in Figure 5?
  2. How many dots are there in Figure 10?
  3. If there are 36 dots, what is the figure number?
4 m
Square numbers Table
37 P4.PA.JM.17092428
Level 3
Darryl was drawing a pyramid-like structure as shown. It consists of shaded and unshaded rectangles. The rest of the structure follows the same pattern.
  1. How many shaded rectangles are there in Row 9?
  2. In which row would there be 37 rectangles?
  3. Darryl had drawn a total of 144 rectangles. How many shaded rectangles were there in the drawing?
4 m
Repeated patterns Square numbers Units method
38 P4.PA.NK.23042605
Level 3
The patterns are made up of identical shaded and identical unshaded squares.

  1. Find the total number of squares in Pattern 4.
  2. Find the number of unshaded squares in Pattern 4.
  3. Which Pattern Number has a total of 100 squares?
4 m
Square numbers
39 P4.PA.JM.17092427
Level 3
Study the pattern. Each figure is made up of identical squares.
  1. What fraction of Figure 1 is shaded? Express your answer in the simplest form.
  2. What is the number of shaded squares in Figure 4?
  3. What is the number of unshaded squares in Figure 8?
4 m
Equal intervals Square numbers Fraction of a whole
40 P4.PA.JM.17092433
Level 3
What is 3 + 4 + 5 + 6 + ... + 47 + 48?
4 m
Rainbow method Sum of consecutive W 4 operations

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