Level 3
The following is made up of identical triangles. Study the pattern carefully.
  1. Complete the table for Figure 4.
  2. A figure number in the pattern has a total of 144 triangles. What is the figure number?
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
The figure is a structure made up of 2 cm cubes. What is the volume of the total number of cubes up to the 10th step?
4 m
Level 3
James formed some figures using squares and circles as shown
  1. Find the number of squares in Figure 6.
  2. Find the total number of circles and squares in Figure 10.
  3. A figure in the pattern has a total of 6481 circles and squares. What is the Figure Number?
4 m
Level 3
The numbers are written in five columns to make a pattern.
  1. Find A in terms of k.
  2. Find B in terms of k.
  3. Find C in terms of k.
  4. Express k in terms of n.
4 m
Level 3
The first four figures of a pattern as shown.

The table shows the number of circles and squares used in each figure.
  1. Find the values of (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. How many circles are there in Figure 39?
  3. How many squares are there in Figure 60?
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?
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Level 3
Study the number pattern carefully.
  1. What is the missing number in the 5th pattern?
  2. What is the missing number in the 32th pattern?
  3. If this number pattern goes on, which pattern number will give you 445?
4 m