Level 2
Find the sum of all the whole numbers from 1 to 242.
2 m
Level 2
How many different handshakes can be made in a group of 21 students, assuming that each student shakes hand with every other student only once?
2 m
Level 3 PSLE
Fong wanted to build a set of steps with 1-cm cubes. The figures show how he built the steps from a height of 2 cm to 3 cm to 4 cm. If Fong continued building the steps in this way, what would be the height of the set of steps that had 135 cubes? Express your answer in cm.
2 m
Level 3
In a table-tennis competition, every player plays against every other player twice. Every player plays the same number of games. There are a total of 56 games played. How many players are there?
3 m
Level 3
Find the sum of all the whole numbers from 40 to 242.
3 m
Level 3
Benny formed the following patterns using toothpicks.

If the last pattern formed by Benny had 360 matchsticks, what was the pattern number?
3 m
Level 3
Study the pattern.
Find the pattern number when 55 grey triangles are used.
3 m
Level 3
Look at the pattern.
  1. Find the total number of squares in Pattern 4.
  2. How many shaded squares will there be in Pattern number 15?
4 m
TRY FOR FREE
Level 3
The diagram shows toothpicks used to arrange the following patterns. The rest of the figures follow the same pattern.

Figure 1 uses 4 toothpicks.
Figure 2 uses 10 toothpicks.
Figure 3 uses 18 toothpicks.

  1. How many squares are in Figure 10?
  2. How many toothpicks are used to make Figure 59?
4 m
Level 3
The graph shows 3 figures formed by shaded and white triangles.
  1. Complete the column for Figure 5. Give your answers for (i) and (ii) in numbers. (Eg 1, 2)
  2. What is the total number of triangles in Figure 16?
  3. How many shaded triangles are there in Figure 40?
4 m