Graphs and equations of 7 quadratic functions are given here.
Match them and put them into 7 sets. Write down the coordinates of the intercepts with the axes.
Make a poster showing the graph of each function with the matching equations.
In all these examples the coefficient of […]
How quickly can you find me?
The product of my digits is 225.
I am not a multiple of 5.
Am I a multiple of 13?
Am I real? Am I rational? Am I irrational?
Now divide me by 11. Is the answer real? […]
How many other cuboids with whole number dimensions have the same volume?
Do any of them have the same surface area?
Which has the biggest surface area? Which has the smallest?
How many have a square cross section?
How many rectangles can you make with perimeter 12 units?
What do you know about rectangles? What is the smallest rectangle that you can […]
You might like to start by investigating the patterns you get when you shade multiples of a number on a grid. Download here
For another investigation use a 100 square grid (download here):
Circle the number 2. Put a line through every multiple of 2 up to 100.
Circle the […]
Easy starter: Write down 2 numbers that add up to a million, one smaller than 450 000 and one bigger than 450 000.
What is the easiest way to work out which of the […]
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 […]
2. Work out a few values of the second number with n = 1, 2, 3 and 4 . Can you show numbers […]
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
Click here for Notes for Teachers.
This problem […]