Currently viewing the tag: "Number patterns"
Imagine you have four bags containing a large number of 1s, 4s, 7s and 10s.
You can choose numbers from the bags and add them to make different totals. You don’t have to use numbers from every bag, and there will always be as many of each number as you need.
Choose some […]
Story 1 A generous little monkey had some peaches.
On the first day he gave half his peaches away and ate one.
On the second day he gave away half of the rest and ate one.
On the third day he gave away half of the rest and […]
Imagine a large cube made up from 27 small red cubes each measuring 1 cm by 1 cm by 1 cm. What is its volume?
Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?
Now imagine breaking the […]
Is it always possible, from any set of five positive whole numbers, to choose three numbers that add up to a multiple of 3?
For example, if you start with 4, 7, 11, 12 and 18, you can choose 4, 11 and 12 which add up to 27 (a multiple of 3).
[…]
What pattern can you see in the last digits of the powers of 2?
What about the last digits of the powers of 3?
What patterns can you see in the last digits for the numbers in the picture?
Can you explain why all these numbers are multiples of 5?
What about […]
Investigate the last digits of the numbers in the picture when n = 1, 2, 3 , 4 and 5. What do you notice? Does this pattern continue? Why?
Will the first number be a power of 10 for any value of n?
What can you say about the values of n […]
1. Imagine the first number is written out in full. How many zeros would there be at the end? Why? Can you find the answer without doing the whole calculation?
2. Work out a few values of the second number with n = 1, 2, 3 and 4 . Can you show numbers […]
Everyone in the class must shake hands with everyone else and say hello, or bow to each other in a one-to-one greeting. Everyone must join in. How many handshakes (or bows) will there be altogether?
This will be difficult to count, especially if you have a large class. Try the problem in […]
Xoli decorated a strip of 20 squares.
She painted a red dot on the corner on every second square
Then she put a blue cross on every third square.
Then she put a green triangle on every fourth square.
And she put a black square on every fifth square
So there was nothing […]
In the first square the boxes at the end of each row and the foot of each column give the result of multiplying the two numbers in that row or column.
Can you find 4 consecutive numbers to complete the second multiplication square in the same way?
Make up puzzles for your […]
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