Level 2
There were 6 teams which participated in a basketball tournament. If each team played against all the other teams only once, how many games were played in total?
2 m
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 2
1 + 2 + 3 + ... + 94 + 95 + 96 + 97. When the first 97 whole numbers are added up. What is the digit in the ones place of this total?
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
There are 5 tennis players. Each player will have one match against each of the other 4 players. How many different matches are there to be arranged?
2 m
Level 3
How many shaded triangles will there be in Pattern 25?
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 3
Amor sewed 4 skirts on Monday, 5 skirts on Tuesday, 7 skirts on Wednesday, 10 skirts on Thursday, and so on. Following the pattern, how many skirts did she sew on Saturday?
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
A novel has 79 pages. What is the sum of all the page numbers?
3 m
Level 3
The figure shown is a staircase made up of 1-cm cubes. What is the volume of the total number of cubes up to Step 20?
3 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
Find the sum of 12 + 13 + 23 + 14 + 24 + 34 + 15 + 25 + 35 + 45 + . . . + . . . + 120 + 220 + . . . + . . . + . . . + 1920.
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
What is 3 + 4 + 5 + 6 + ... + 47 + 48?
4 m