Posts by: toni
In how many ways can you half cover one big square using two smaller yellow squares as in diagram A.
What are the similarities and differences between the patterns?
Suppose you half cover four big squares by half covering each square as in diagram B.
Diagram B is unchanged when you rotate […]
A container holds 4 yellow balls, 2 blue balls and a red ball. The balls are identical in all ways except colour. When you shake the container the balls settle into a hexagonal pattern as shown in the diagram.
You win if two blue balls touch.
How many different ways can […]
Start with the set of the twenty-one numbers 0 – 20.
Can you arrange these numbers into 7 subsets, each of three numbers, so that the totals of the three numbers in each subset make seven consecutive numbers?
For example, one subset adding up to 27 might be {0, 13, 14}. […]
Which of the following products are close to 1368:
20 x 40 20 x 50 20 x 70
40 x 50 40 x 70 or 50 x 70?
In these three multiplication sums, using the digits 1 to 8 once and only […]
(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 […]
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