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 […]
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
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This problem […]
Choose a colour. Put a line through 4,6,8,10 … on the 100 square grid. Carry on until you get to 100 crossing out the rest of the two times table. You do not cross through the first number in the table but it may already be crossed out.
Change colour. Put […]