Working systematically

problem

Open Squares

Age

7 to 11

Challenge level

3 out of 3

This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
problem

Calcunos

Age

7 to 11

Challenge level

3 out of 3

If we had 16 light bars which digital numbers could we make? How will you know you've found them all?
problem

Making Squares

Age

7 to 11

Challenge level

3 out of 3

Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
problem

Ice Cream

Age

7 to 11

Challenge level

3 out of 3

In the café, your ice cream selection can't include a combination that someone else has chosen. What could these seven children have chosen?
problem

Penta Place

Age

7 to 11

Challenge level

3 out of 3

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?
problem

On Target

Age

7 to 11

Challenge level

3 out of 3

You have 5 darts and your target score is 44. How many different ways could you score 44?
problem

ABC

Age

7 to 11

Challenge level

3 out of 3

In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
problem

Family Tree

Age

7 to 11

Challenge level

3 out of 3

Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.
problem

Palindromic Date

Age

7 to 11

Challenge level

3 out of 3

What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
problem

Difference

Age

7 to 11

Challenge level

3 out of 3

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.