3 out of 3
Use the differences to find the solution to this Sudoku.
1 out of 3
Investigate the sequences obtained by starting with any positive 2 digit number (10a+b) and repeatedly using the rule 10a+b maps to 10b-a to get the next number in the sequence.
1 out of 3
Which of these roads will satisfy a Munchkin builder?
1 out of 3
Can you prove these triangle theorems both ways?
1 out of 3
Can you find out what numbers divide these expressions? Can you prove that they are always divisors?
1 out of 3
Explore some of the different types of network, and prove a result about network trees.
1 out of 3
What happens when you find the powers of this matrix?
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.
2 out of 3
The nth term of a sequence is given by the formula n^3 + 11n. Find the first four terms of the sequence given by this formula and the first term of the sequence which is bigger than one million. Prove that all terms of the sequence are divisible by 6.
2 out of 3
The diagram shows a regular pentagon with sides of unit length. Find all the angles in the diagram. Prove that the quadrilateral shown in red is a rhombus.
