Level 3
A T-shaped block consists of 4 squares of 1 cm2 each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.
  1. Find the perimeter of the pattern that consists of 20 blocks.
  2. If a pattern has a perimeter of 106 cm, find the number of squares that makes up the pattern.
5 m
Level 3
Each of the figure is made up of 2-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.
  1. Complete the table for Figure 4 (i).
  2. Complete the table for Figure 4 (ii).
  3. Which figure number will have a perimeter of 2604 cm?
5 m
Level 3
Study the patterns.
  1. Find the total number of triangles in Figure 30.
  2. Express the biggest triangle as a percentage of the total possible number of triangles in Figure 30. Correct your answer to 2 decimal places.
5 m
Level 3 PSLE
Andy used 3-cm rods to build some structures. The first five structures are shown.

The table shows the number of rods used for each structure and the height of each structure.

  1. Find the value of a.
  2. Find the value of b.
  3. What was the height of Structure 119?
  4. How many rods were used to build Structure 119?
5 m
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 PSLE
Yasmin uses stars and circles to form figures that follow a pattern as shown.
  1. The table shows the number of stars and circles for the first four figures. Complete the table for Figure 5. List the answers in the following order using commas. (Eg i, ii, iii)
  2. A figure in the pattern has a total of 121 stars and circles. What is the figure number?
  3. Another figure in the pattern has 50 more stars than circles. What is the total number of stars and circles in the figure?
5 m
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
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