Conjecturing and generalising

game

Pentanim

Age

7 to 16

Challenge level

A game for 2 players with similarities to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.
game

Nim-like games

Age

7 to 16

Challenge level

A collection of games on the NIM theme
problem
Producing an integer

Age

14 to 16

Challenge level

Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?
problem
Climbing complexity

Age

11 to 14

Challenge level

In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?
problem
Climbing conundrum

Age

7 to 14

Challenge level

Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?
problem
Tumbling down

Age

7 to 11

Challenge level

Watch this animation. What do you see? Can you explain why this happens?
problem
Next-door numbers

Age

5 to 7

Challenge level

Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
problem
Number lines in disguise

Age

7 to 14

Challenge level

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
problem
Robotic rotations

Age

11 to 16

Challenge level

How did the the rotation robot make these patterns?
problem
Satisfying four statements

Age

7 to 11

Challenge level

Can you find any two-digit numbers that satisfy all of these statements?