Level 3
Read the pattern and complete the table.
  1. Find the number of circles In Figure 8.
  2. Find the figure number that would require a total number of 193 rectangles and circles altogether.
4 m
Level 3
Jim used grey and white squares to create the patterns.
Use the patterns that he has created to answer the following questions.
  1. How many squares will there be in Pattern 15?
  2. Which pattern will be made up of 176 squares?
4 m
Level 3
Each of the figures is made up of 1-cm sticks.
The table shows the number of sticks used to make the figures and their perimeters.
  1. Find the number of sticks in Figure 12.
  2. What is the perimeter of Figure 177?
  3. Which figure requires a total number of 4007 sticks?
4 m
Level 3
Each figure is made up of a number of identical sticks of 1-cm length.
  1. Find the perimeter of Figure 50.
  2. Find the number of sticks in Figure 100.
  3. Given that a figure has a perimeter, P, of 254 cm, find the number of squares in this figure.
4 m
Level 3 PSLE
Zane uses toothpicks to form figures that follow a pattern. The first four figures are shown.
  1. The table shows the number of toothpicks used for each figure. Complete the table for Figure 5 and Figure 6. Give your answers in numbers. (Eg 1, 2)
  2. What is the difference in the number of toothpicks Zane would use for Figure 11 and Figure 13?
  3. How many toothpicks would he use for Figure 50?
4 m
Level 3
A pattern is made by putting shaded squares of unit length around a white square of similar unit length. He then continues to make patterns as shown in Figure 2 and Figure 3.
  1. Which figure uses 100 white squares?
  2. Find the number of shaded squares in Figure 30.
  3. Find the total number of squares in Figure 60.
4 m
Level 3
Consider the following sequence:
  1. Find the sum of 2 + 6 + 10 + 14 + ... + 30.
  2. A given line of the sequence is as follows: 2 + 6 + 10 + 14 + ... + a = 648 = 2 x b2. Find the value of b.
  3. Calculate the sum of Line 40 if the pattern for the sum of the lines is as follows:- Line 1: 8 Line 2: 8 + 10 Line 3: 8 + 10 + 12
4 m
Level 3 PSLE
Study the pattern.
  1. Find the total number of white and grey triangles in Figure 100.
  2. Find the percentage of grey triangles in Figure 100. (Give the answer in decimals.)
4 m
Level 3
Study the image. Find the missing number.
4 m
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
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
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
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
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