What If ... ?

Here are some exciting activities for you - have a go at them and then see what happens if you change one of the little questions. You may be able to change it more than just once!


The Add and Take-away Path

Stage: 1 Challenge Level: Challenge Level:1

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

Board Block

Stage: 1 Challenge Level: Challenge Level:1

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

Largest Even

Stage: 1 Challenge Level: Challenge Level:1

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Making Sticks

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

How Odd

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

Sitting Round the Party Tables

Stage: 1 and 2 Challenge Level: Challenge Level:1

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Break it Up!

Stage: 1 and 2 Challenge Level: Challenge Level:1

In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.

Count the Digits

Stage: 1 and 2 Challenge Level: Challenge Level:1

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

Simple Train Journeys

Stage: 1 and 2 Challenge Level: Challenge Level:1

How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?

Strike it Out

Stage: 1 and 2 Challenge Level: Challenge Level:1

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

School Fair Necklaces

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

How many possible necklaces can you find? And how do you know you've found them all?

Nim-7

Stage: 1, 2 and 3 Challenge Level: Challenge Level:1

Can you work out how to win this game of Nim? Does it matter if you go first or second?