Level 2
Study the number pattern. What is the missing value?
2 m
Level 2
The following pattern is formed using 4 letters. What is the 60th letter?
2 m
Level 2
Find the total number of shapes altogether if the total number of hearts is 70.
2 m
Level 2
A repeated pattern is formed using the numbers 1 and 9. The first 20 numbers are shown . Find the sum of the first 500 numbers.
2 m
Level 2
How many digits are there from 1 to 110?
2 m
Level 2
Some tables and chairs are arranged as shown. How many chairs will there be in Pattern 8?
2 m
Level 2
Study the number arrangement carefully. What is the value of A?
2 m
Level 2
Look at the pattern.
1 ÷ 9 = 0.111111
2 ÷ 9 = 0.222222
3 ÷ 9 = 0.333333

1 ÷ 99 = 0.010101
2 ÷ 99 = 0.020202
3 ÷ 99 = 0.030303

What is 4 ÷ 999 to 6 decimal places?
2 m
Level 2
Observe the number pattern in Figure A and Figure B. What is the missing number in Figure C?
2 m
Level 3
Look at the pattern on the right. At what position does the number '12' first appear?
3 m
Level 3
The patterns are made up of squares.
  1. How many squares are there in Pattern 10?
  2. Which pattern is made up of 43 squares?
4 m
Level 3
Study the table and answer the questions that follow.
  1. Find (i).
  2. Find (ii).
  3. Which row will have a sum of 1024?
4 m
Level 3
The first four figures of a pattern as shown.

The table shows the number of dots and the number of non-overlapping triangles for each figure.
  1. Find the values of (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. What is the number of dots in Figure 10?
  3. In which Figure number will there be 106 dots?
4 m
Level 3
The following pattern is made up of shaded and unshaded squares.
  1. Find the values of (i), (ii) and (iii). Give your answers in the following format. (Eg 1, 2, 3)
  2. Find the number of unshaded squares for Figure 30.
  3. Find the number of shaded squares for Figure 30.
4 m
Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.
4 m