Quantitative Methods by VII9jovw

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									                                                                  GCSE Maths



Transposition of Formulae

Rearrange the following formulae to make the letter in brackets the new
subject.

1.     v2 = 2gh          (h)                     2.   P = RT               (T)
                                                           V

3.     G = T            (J)
        R J                                      4.   V = u + at           (t)


5.     a = b - cx (x)                            6.   A =      3           (t)
                                                             4t + 5


7.     T = 12(D - d)           (d)               8.   X = 2y - w           (v)
               L                                               v



Simultaneous Equations
Solve the following by algebraic methods:

       (1) 3x + y = 13                                (2) 3p + 4q = 25
           5x - 2y = 7                                     p + 2q = 11

       (3) 6a + 5c = 32                               (4) 3u + 2v = 16
           3a + c = 10                                    2u + v = 9

       (5) 3x + 2y = 13                               (6) 5t + 3s = 11
           5x - 3y = 9                                    7t – 2s = 3



Trial and Improvement

By using a suitable trial and improvement method find the value of x, correct
to one decimal place, which satisfies each of the following equations. Show all
your attempts.

1) x2 + x = 23                 2) x2 + x = 37         3) x2 – x = 45
4) x2 – 4x = 49                5) x2 + 3x = 23        6) x2 + 5x = 32

								
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