Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
  1. Find the number of tiles at the bottom layer in the 29th pattern
  2. Find the total number of tiles in Pattern 50.
3 m
Level 3 PSLE
All 22 children were assigned to welcome visitors to a kindergarten function. They were to line up in a row from one end to the other end at an equal spacing of 1.2 m apart. On the day of the function, 7 of the children did not turn up. As a result, the remaining children had to line up from one end to the other end of the corridor at a new equal spacing. What was the new spacing between 2 children? Express the answer in metres.
4 m
Level 2
The graph shows the temperature of water in a pot from 08 00 to 08 30.
  1. For how many minutes was the temperature of the water 50°C and below?
  2. During which two 5-minute intervals did the temperature of water decrease at the same rate?
  3. What was the change in temperature per minute from 08 25 to 08 30? Give your answer in °C per minute.
3 m
Level 3
Study the series of figures carefully.
  1. Find the number of sticks needed in Figure 24.
  2. Find the number of dots needed when 413 sticks are used.
4 m
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