Level 2
Complete the following number patterns.
  1. 1000, 901, 802,           , 604
  2. 27, 34, 42, 51,           .
  3. 82,           , 96. 100, 102
3 m
Level 3
The table shows the distance Mr Lim jogged each day over a period of 4 days. The distance Mr Lim jogged follows a pattern. Based on the pattern, what is the distance Mr Lim jogged on Day 5?
3 m
Level 3
Peter made 75 paper aeroplanes in four days. Each day after the first day, he made double the number paper aeroplanes than the day before. How many paper aeroplanes did he make on the first day?
3 m
Level 3
Mina uses tiles to create patterns as shown.
  1. Find the number of tiles in pattern 6.
  2. Which pattern has 100 tiles?
3 m
Level 3
Ben is building some patterns using square tiles as shown. How many square tiles does he need to build the 21st pattern?
3 m
Level 3
Study the table carefully.
  1. How many insects are there in Week 7?
  2. How many insects are there in Week 14?
  3. If there are 729 insects, how many weeks have passed?
3 m
Level 3
In a room with a certain number of people, each person shook hands with the rest of the people only once. The total number of handshakes is 78. How many people are there in the room?
3 m
Level 3
The pattern shows how some candles are arranged. How many candles are there in Figure 10?
3 m
Level 3
The figure shows the first 3 triangular patterns which are formed with circles. How many circles are needed to form the 7th triangular pattern?
3 m
Level 2
Matchsticks are used to form each figure. Find out the number of matchsticks needed to form Figure 6.
3 m
Level 3
The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
  1. How many squares will there be in Pattern 18?
  2. Which pattern is formed with 134 squares?
4 m
Level 3
Karen uses sticks and buttons to form figures that follow a pattern. The first four figures are shown.

  1. The table shows the number of sticks and buttons Karen used to each figure. Complete the table for Figure 5 (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. A figure in the pattern has a total of 131 buttons. What is the figure number of that pattern?
  3. How many sticks are there in Figure 16?
4 m
Level 3 The table shows the number of sticks used to form each figure.

  1. Complete the table for Figure 5 (a) and (b). Give your answers in the following format. (Eg 1, 2)
  2. Which figure would have a total of 56 dots?
  3. How many sticks would be used for Figure 97?
4 m
Level 3
Look at the pattern.
  1. What is the perimeter of Figure 5?
  2. What is the area of Figure 7?
  3. What is the perimeter of Figure 7?
4 m
Level 3
Alicia uses sticks to form figures that follow a pattern. The first five figures are shown.
  1. The table shows the number of sticks used for each figure. What is the number of sticks used for Figure 6?
  2. What is the difference in the number of sticks Alicia would use for Figure 9 and Figure 11?
  3. In which figure number would Alicia use 40 sticks?
4 m
Level 3
Study the table carefully.
  1. How many dots are there in Figure 5?
  2. How many dots are there in Figure 10?
  3. If there are 36 dots, what is the figure number?
4 m
Level 3
Darryl was drawing a pyramid-like structure as shown. It consists of shaded and unshaded rectangles. The rest of the structure follows the same pattern.
  1. How many shaded rectangles are there in Row 9?
  2. In which row would there be 37 rectangles?
  3. Darryl had drawn a total of 144 rectangles. How many shaded rectangles were there in the drawing?
4 m
Level 3
The patterns are made up of identical shaded and identical unshaded squares.

  1. Find the total number of squares in Pattern 4.
  2. Find the number of unshaded squares in Pattern 4.
  3. Which Pattern Number has a total of 100 squares?
4 m
Level 3
Study the pattern. Each figure is made up of identical squares.
  1. What fraction of Figure 1 is shaded? Express your answer in the simplest form.
  2. What is the number of shaded squares in Figure 4?
  3. What is the number of unshaded squares in Figure 8?
4 m
Level 3
What is 3 + 4 + 5 + 6 + ... + 47 + 48?
4 m