Level 3
Study the number pattern.
What is the number in the 100th position?
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 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
At Richard's soap factory, a special soap bar 'Johnny's Bricks' is made by daily adding 1 cm3 soap bars around the previous day's region of soap bars.
  1. Find the number of 1-cm3 soap bars added on Day 5.
  2. Find the total number of soap bars on Day 9.
  3. Find the total number of soap bars on Day 30.
4 m
Level 3
The diagram shows the first four of a sequence of figures.
Figure 1 is made up of just 1 square.
Figure 2 is made up of one 2 x 2 and four 1 x 1 squares, so it has a total of 1 + 4 = 5 squares.
Figure 3 contains one 3 x 3 and some 2 x 2 squares and nine 1 x 1 squares.
The sequence continues as shown in Figure 4 and so on.
  1. How many squares are there in Figure 7?
  2. How many total number of squares will be there in sequence 7?
4 m