31 P6.PA.JC.17111325
Level 3
A series of patterns of shaded and unshaded small triangles is shown.
  1. Which pattern has 141 shaded triangles?
  2. Find the number of unshaded triangles in Pattern 40.
  3. Find the total number of triangles in Pattern 90.
5 m
Equal intervals Square numbers
32 P6.PA.JC.17111330
Level 3
Some patterns of shaded and unshaded small squares is shown. The unshaded squares are those which lie on the diagonals of the figure. By considering the number patterns,
  1. find the total number of squares in Figure 30,
  2. find the total number of shaded squares in Figure 50.
  3. what will be the figure number that will have 49 squares?
5 m
Repeated patterns Square numbers
33 P6.PA.JC.17111326
Level 3
The diagram shows 3 squares, the length of which are 1 cm, 2 cm and 3 cm respectively. Each square is made up of small squares which has a length of 1 cm and alternate squares are coloured grey and white.
  1. How many small grey squares are needed to create a square of side 11 cm?
  2. Find the length of the side of a square if 196 small grey and white squares are used to create it.
  3. Find the number of small white squares when a square of side 18 cm is created?
5 m
Equal intervals Square numbers Area Perimeter Square
34 P6.PA.JM.18011234
Level 3
1-cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown.
  1. Find the area of Figure 5.
  2. How many squares were used to make a figure with an area of 180.5 cm2?
5 m
Repeated patterns Square numbers Sum of consecutive Area perimeter Square Triangle
35 P6.PA.JC.17111327
Level 3
The three diagrams show the highest number of intersections obtained from 2, 3 and 4 lines respectively.
  1. What is the highest number of segments for 10 straight lines?
  2. What is the maximum number of intersections obtained from 30 straight lines?
  3. What is the maximum number of regions obtained by using 40 straight lines?
5 m
Square numbers Sum of consecutive
36 P6.PA.JM.18011230
Level 3
The following figures are made of ovals.
  1. How many ovals will there be in Figure 6?
  2. How many ovals will there be in Figure 88?
  3. Which figure will have 5305 ovals?
5 m
Square numbers Guess & check

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