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 […]
Is this number divisible by 5?
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
?
Click here for the POWERFUL THINKING 4 Worksheet.
[…]
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 […]
Cogwheels are very important for gears in machinery such as clocks, bicycles, cars and engines.
Pick two cogwheels. Place them close to each other so that the teeth fit into the gaps between the teeth of the […]
Kimie and Mdu made sticks from strips of card. Kimie made blue sticks 2 squares long and Mdu made red sticks 3 squares long.
Kimie put her blue sticks end to end in a long line. Mdu put his red sticks end to end in a line underneath Kimie’s.
Can they make […]
Try a few of these:
Do human beings live for as long as a million hours?
If you have been alive for a million seconds, how many birthdays have you had?
What year was it one billion minutes ago?
How long would it take to count to a million […]
The smallest number that can be divided exactly by 2, 3 and 4 is 12.
What is the smallest number that can be divided exactly by the numbers 2, 3, 4, 5 and 6?
What is the smallest number that can be divided exactly by the numbers 2, 3, 4, 5, 6, 7, 8 […]
Using all of the digits 1, 2, 3, 4 and 5 exactly once and once only, make two or more numbers, for example: 5, 12 and 34
Multiply these numbers together: 5 x 12 x 34 = 2 040.
Try other arrangements of the digits 1 to 5.
What is the greatest product that […]
Ask a friend to hide a 5c coin in one hand and a 10c coin in the other without showing you which coin is in which hand. Then say to your friend:
“Multiply the amount of money in your left hand by 2 or 4 (whichever you like) and the amount of money in […]
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