Level 3
The figure is made of identical triangles.
  1. Complete the table for layers 5 and 10.
  2. If each small triangle has a height of 4 cm and a perpendicular base of 3 cm. Find the area of all the triangles at the 29th layer.
5 m
Level 3
Check out the pattern.
  1. What is the sum of the two numbers in Row 100?
  2. What are the two numbers in Row 99? (Eg 1, 2)
  3. Under which column A, B, C or D, will the number 586 appear?
5 m
Level 3
Haoming made patterns using squares and sticks and recorded the pattern in the table shown.
  1. How many squares are needed for Figure 20?
  2. How many sticks are needed for Figure 20?
  3. Which figure needs a total of 115 sticks?
5 m
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
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
Study the number pattern.
  1. In 57 what is the sum of the digits in the ones and tens place?
  2. What is the sum of the last three digits in 515 ?
  3. What is the sum of the last four digits in 542?
5 m