Strike It Out
1 out of 3
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Three Consecutive Odd Numbers
1 out of 3
How many sets of three consecutive odd numbers can you find, in which all three numbers are prime?
Adding Odd Numbers
1 out of 3
Is there a quick and easy way to calculate the sum of the first 100 odd numbers?
Pythagoras Proofs
2 out of 3
Can you make sense of these three proofs of Pythagoras' Theorem?
What Does It All Add Up To?
2 out of 3
If you take four consecutive numbers and add them together, the answer will always be even. What else do you notice?
Different Products
1 out of 3
Take four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
Iff
2 out of 3
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
Curve Fitter
2 out of 3
This problem challenges you to find cubic equations which satisfy different conditions.
Kite in a Square
2 out of 3
Can you make sense of the three methods to work out what fraction of the total area is shaded?
Proof Sorter - Quadratic Equation
2 out of 3
This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.
Proof Sorter - Geometric Sequence
1 out of 3
Can you correctly order the steps in the proof of the formula for the sum of the first n terms in a geometric sequence?
Proof Sorter - The Square Root of 2 Is Irrational
1 out of 3
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.
Proof Sorter - Sum of an Arithmetic Sequence
1 out of 3
Put the steps of this proof in order to find the formula for the sum of an arithmetic sequence