Currently viewing the tag: "Algebraic expressions"
Explain how the diagrams show how to work out 13 times 13 and (x+1) times (x+1).
Draw similar diagrams for 15 times 15 and (x+2) times (x+2).
Draw your own diagrams and use the same method to find the algebraic expressions for and and work out the expansion […]
Do this as you read…
Think of a number.
Multiply it by 3.
Add 6.
Take away your number.
Divide by 2.
Take away your number.
You have finished with 3.
How does this work?
It is my birthday and in 15 years’ time, my age will be the square of my age 15 years ago!
Can you work out how old I am?
Now I am thinking “Was there ever a time in my life when I had other special birthdays?”
Could I have said:
“In 3 […]
The Towns A, B, C, D, E, F, G, H all lie on the same straight road.
The table shows the distances between pairs of towns.
For example, D is 19 km from G.
Fill in the distances between all the other towns in the table.
Click here to download the […]
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 […]
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 […]
Think of a whole number. Square it. Subtract the number you first thought of. Is the answer odd or even?
Try this with other numbers. What do you notice? Can you explain why? Can you find different ways to explain (and prove) the result that you noticed. You might use what you […]
(STEP 1) Choose any two numbers from the 7 times table. Add them together. What do you notice? Repeat with some other examples, always choosing pairs of numbers from the same times table. What do you notice? Does the same thing always happen? Why or why not?
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This shape, which is constructed using four semi-circles, is called a Salinon.
If the radius of the larger blue semicircle is a and the radius of the smaller blue semicircle is b, what are the radii of the smallest semicircles?
What is the relationship between the area of the shaded region and the area […]
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