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GCSE: Beyond Pythagoras

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1. GCSE Maths questions

• Develop your confidence and skills in GCSE Maths using our free interactive questions with teacher feedback to guide you at every stage.
• Level: GCSE
• Questions: 75
2. Beyond Pythagoras

The 9,40,41 triple has a difference of 1 between its middle and longest side lengths, which is what the other triples I'd chosen have had, so it would be more reliable if I used the result which matched with my others instead of something completely different. If we wish to work out a formula, a general rule and a relationship then I am going to use the triple which is most likely to help with that. I have worked out the formulae, using the term number (n)

• Word count: 2758
3. Beyond Pythagoras

The difference is 2 Next I shall find the prediction of the middle side next. 4,12,24 It goes up by 4,8,12. So in my conclusion I think it will become 4,8,12,16,20,24 So it will be 4,12,24, 40, 60 84. The difference is 4,8,12. Now I shall find the difference and it is n*4 Next I shall find the prediction of the longest side next. 5,13,25 It goes up by 4,8,12. So in my conclusion I think it will become 4,8,12,16,20, 24 So it will be 5,13,25,41,61 85. The difference is 4,8,12. Now I shall find the difference and it is n*4.

• Word count: 2399
4. Beyond Pythagoras P.1 Pythagoras Theorem is a2+b2= c2 'a' is being the shortest side, 'b' being the middle side and 'c' being

4,12,24 It goes up by 4,8,12. So in my conclusion I think it will become 4,8,12,16,20,24 So it will be 4,12,24, 40, 60 84. The difference is 4,8,12. Now I shall find the difference and it is n*4 Next I shall find the prediction of the longest side next. 5,13,25 It goes up by 4,8,12. So in my conclusion I think it will become 4,8,12,16,20, 24 So it will be 5,13,25,41,61 85. The difference is 4,8,12. Now I shall find the difference and it is n*4.

• Word count: 2424
5. Beyond Pythagoras.

co cb uk cb for more cb Do not cb redistribute Tochv8Ey 85 182 546 7 15 112 113 240 840 +2 8 17 144 145 306 1224 9 19 180 181 380 1710 wwdd ddw stddddud edd ddnt cdd enddtral ddcodd uk. 10 21 220 221 462 2310 I looked at the table and noticed that there was only 1 difference between the length of the middle side and the length of the longest side. And also if you can see in the shortest side column, it goes up by 2.

• Word count: 2107
6. Dice Maths Investigation

Seeing as the probability of the round passing is exactly equal to the probability of C winning in the first round, this value can only be 5/18. Therefore a player's winning probability is decreased by means of multiplication by a fraction less than one (5/18). When I come to create a formula, this will be very useful as I now know that it must involve 5/18. Formulae to find the probability of either A, B or C winning in the nth round.

• Word count: 2900