Level 3
Paul is building some ladders using straws. How many straws does he need to build the ladder with 8 rungs?
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 number pattern. Which set does the number '36' belong to? Give your answer in number. (Eg Set 1 = 1)
Set 1: 7, 14, 21, ...
Set 2: 8, 16, 24, ...
Set 3: 9, 18, 27, ...
4 m
Level 3
The model are made up of square tiles. How many square tiles are needed to build the 8th model?
4 m
Level 3
The diagram shows the number of blocks in the pattern.
  1. How many blocks will Pattern 4 have?
  2. How many blocks will Pattern 20 have?
  3. Which pattern has 211 blocks?
3 m
Level 3
4 straws are needed to form 1 square. 7 straws are needed to form 2 squares. 10 straws are needed to form 3 squares. How many straws are needed to form 5 squares?
4 m
Level 3
One man can sit at each side of a square table. If 7 square tables are joined end to end to form a long table, how many man can be seated at the long table?
4 m
Level 3
The diagram shows the pattern for the number of circles.
  1. How many circles will Pattern 4 contain?
  2. How many circles will Pattern 30 contain?
  3. Which pattern contains 421 circles?
3 m
Level 3
Find the missing numbers.
  1. A
  2. B
  3. C
  4. D
4 m
Level 3
Study the pattern. What is the missing number?
4 m
Level 3
Sally collected can tabs for a recycling movement. The table shows the number of can tabs she had collected. If the pattern continues, how many can tabs would she have collected in Week 6?
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
Find the missing numbers.
The numbers in each row and column must add up to the same answer.
  1. A
  2. B
4 m
Level 3
Study the pattern. What is the missing number?
4 m
Level 3
Melvin saved $3 in the first week and increased his savings by $4 each week. How much would he have saved at the end of 11 weeks?
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
Find the missing numbers.
The sum of the 3 numbers across the square is 12. The sum of the 3 numbers down the square is also 12.
  1. A
  2. B
  3. C
  4. D
4 m
Level 3
Study the pattern. What is the missing number?
4 m
Level 3
Complete the number pattern. 2, 4, 8, 16,      , 64, 128, 256
4 m