How many ways can you arrange the digits 2, 2, 2 and 0 to get different numbers? What is the sum of those numbers?
You can be a creative mathematician, you can be someone who has your own mathematical ideas. Find your own interesting facts about […]
between the two 1s there is one digit giving 1?1,
between the two 2s there are two digits giving 2??2,
between the two 3s there are three digits giving 3???3.
Can you explain it?
Does this work for very old people over the age of 99? Why or why not?
Click here to download the MAGIC 13837 worksheet.
Click here for the Notes for Teachers for Years 6-10.
Inspired by […]
What commands would you give to make the turtle do this?
This activity will help you to start writing programs to command the robot even if you have never done anything like this before and you know nothing about coding. The LOGO language is simple to […]
A sequence is defined by the formula an = n2 – 2n + 1.
(a) Calculate the first 8 terms of the sequence.
(b) Calculate the first difference between the terms.
(c) Calculate the second difference between the terms.
(d) What can you say about the results you obtained?
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Here is one way to do it. How many other ways can you find? Explain your answer.
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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 […]
Will the first number be a power of 10 for any value of n?
What can you say about the values of n […]
Hint: Just look at the last digits of powers. What values do they take?
Investigate other big powers?
Make up some similar numerical expressions involving powers that have interesting properties.
What about even bigger powers or
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!
This problem […]