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
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
Level 3
Squares of sides 2 cm are arranged to create a pattern as shown.
  1. Find the number of squares needed for Figure 20.
  2. Find the area of Figure 10.
  3. Find the perimeter of Figure 40.
5 m