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"Lesson Activities"
(1) Some 4 digit numbers can be written as the product of a 3 digit number and a 2 digit number using the digits 1 to 9 each once and only once.
Can you use the digits 1 to 9 once, but only once, to replace the stars and complete the multiplication * *9 […]
Can you use the digits 1, 2, 3, 4, 5 and 6, each only once, to make a number which is divisible by 6
… so that when the final or last digit is removed it becomes a 5-digit number divisible by 5, and when the last digit is removed from that number […]
The hour and minute hands of my clock are at right angles.
How many degrees does each hand move forward in one minute? How long will it be before they are at right angles again?
Be careful, it will not be at half past three!
See the AIMSSEC Notes for Teachers.
This problem […]
Follow some numbers and see where they go.
The simple rule is: choose a number, add the digits together then multiply by 2 and then do the same again.
Suppose you start with 56 then you get 5+6 = 11 and 11 x 2 =22 so the next number is 22. Carry on and you […]
There are six numbers written in five different scripts.
Can you sort out which is which?
Write 51 in each script.
Click here for Notes for Teachers.
This activity was initially developed by SMILE (Secondary Mathematics Individualised Learning Experiment) by practising teachers in London in the 1970’s as one of a series of […]
Write down three consecutive whole numbers none of which is a multiple of three. If you can’t do it, explain why.
Multiply any two consecutive even numbers together. Why is the product always a multiple of eight?
Take any prime number greater than 3, square it, subtract one and divide by 24.
Make a […]
In his grid, how many pairs of numbers can you find that add up to a multiple of 11?
Do you notice anything interesting?
Can you see a connection with the 11-hour clock?
Can you find all the pairs?
Could you convince someone that you haven’t […]
Show that is it impossible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units.
Is it possible for a tetrahedron to have edges of lengths 10, 20, 25, 45, 50 and 60 units?
Can you write general rules for someone else to use to check whether […]
Various pairs of numbers add together to give a sum of 10:
3 + 7 = 10
2 + 8 = 10
4.4 + 5.6 = 10
The products of these numbers are all different:
3 x 7 = 21
2 x 8 = 16
4.4 x 5.6 = 24.64
[…]
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