Conjecturing and generalising

problem
Favourite

Carroll Diagrams

Age

5 to 11

Challenge level

1 out of 3

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
problem
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Poly Plug Rectangles

Age

5 to 11

Challenge level

1 out of 3

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
problem
Favourite

Take Three Numbers

Age

5 to 11

Challenge level

1 out of 3

What happens when you add three numbers together? Will your answer be odd or even? How do you know?
problem
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Different Sizes

Age

5 to 11

Challenge level

1 out of 3

A simple visual exploration into halving and doubling.
game
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Dicey Array

Age

5 to 11

Challenge level

1 out of 3

Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
problem
Favourite

Make 37

Age

5 to 11

Challenge level

2 out of 3

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?
problem
Favourite

Hundred Square

Age

5 to 11

Challenge level

2 out of 3

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
problem
Favourite

Growing Garlic

Age

5 to 11

Challenge level

2 out of 3

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
problem
Favourite

How Odd

Age

5 to 11

Challenge level

2 out of 3

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?
problem
Favourite

Three Squares

Age

5 to 11

Challenge level

3 out of 3

What is the greatest number of squares you can make by overlapping three squares?