Choose two digits and arrange them to make two double-digit
numbers. Now add your double-digit numbers. Now add your single
digit numbers. Divide your double-digit answer by your single-digit
answer. Try lots of examples. What happens? Can you explain it?
What are the missing numbers in the pyramids?
A little bit of algebra explains this 'magic'. Ask a friend to pick 3 consecutive numbers and to tell you a multiple of 3. Then ask them to add the four numbers and multiply by 67, and to tell you the last two digits of her answer. Now you can really amaze her by giving the whole answer and the three consecutive numbers used at the start.
Write down a three-digit
Change the order of the
digits to get a different number
Find the difference between
the two three digit numbers
Add together the digits of
your answer. If you arrive at a two-digit answer, add the two
digits to reduce your answer to a single digit answer
Subtract $5$ from the
number you have
Find that equivalent number
letter in the alphabet (1=A, 2=B etc.)
Name a country that begins
Using the second letter of
the name of the country that you chose, name a jungle animal that
starts with that letter.
Name the colour of that
Using the final letter of
the name of the country that you chose, name a different animal
that starts with that letter.
Name a fruit that starts
with the last letter of that animal's name.
Did you end up with orange
How did I know?