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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

    This is because: Triangle Number 1 = 2 x 2 2 = 3 x 4 3 = 4 x 6 4 = 5 x 8 = 2n2 + 2n 5 = 6 x 10 6 = 7 x 12 7 = 8 x 14 8 = 9 x 16 Longest side = 2n2 + 2n + 1 Perimeter = A + B + C Area = A x B x 0.5 Box Methods Shortest� = (2n + 1) � 2n +1 2n 4n� 2n +1 2n 1 = 4n� + 4n + 1 Middle� = (2n� + 2n)� 2n� +2n

    • Word count: 717
  3. Maths Dice Investigation

    This is obviously because we used 10 counters. After carefully looking at the results table it becomes apparent that "A Wins" "B Wins" Win = 1 Win = 6 Draw = 3 Draw = 3 Lose = 6 Lose = 1 We can write this as a probability equation: P(A Wins) = 1/10 P(B Wins) = 6/10 P(Draw) = 3/10 And P(A Wins) = 41/100 P(B Wins) = 59/100 Conclusion: From the results I have produced it becomes evident that my prediction was correct.

    • Word count: 904
  4. Pythagorean triplets

    To work out the perimeter we use the condition: a + b + c = units 1st triplet - 3 + 4 + 5 = 12 units 2nd triplet - 5 + 12 + 13 = 30 units 3rd triplet - 7 + 24 + 25 = 56 units To work out the area we use the condition: 1/2 * a * b = square units 1st triplet - 1/2 * 3 * 4 = 6 square units 2nd triplet - 1/2 * 5 * 12 = 30 square units 3rd triplet - 1/2 * 7 * 24 = 84

    • Word count: 767
  5. Towers of Hanoi Investigation

    While moving the discs you can not put a bigger disc on top of a smaller one. We are to try with different numbers of discs and see if you can find a rule or a pattern Number of discs and its moves 1 Disc 1. 1-B 2 Discs 2. 1-B 3. 2-C 4. 1-C 3 Discs 1.

    • Word count: 383

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