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```							                      GCSE Maths

Active Worksheets

Use the following sheet to to produce a
variety of worksheets.

Each worksheet will randomise the values
Contents (includes worksheet and answer sheet):     of each question set, so every worksheet
produced can be different,
* Percentages 1 and 2               ideal if you want additional practice material.
* Fractions 1 and 2
* Pythagoras                        To change the values used press F9
* Trigonometry
* Algebra

produced by A V Ali
he following sheet to to produce a
variety of worksheets.

worksheet will randomise the values
ch question set, so every worksheet
produced can be different,

change the values used press F9
GCSE Mathematics

Percentages Worksheet 1

1) Find 10 % of :                                      3) Find 2.5 % of :

a) £        39.00                                      a)   £        52.00
b) £        314.00                                     b)   £         61.00
c) £ 389.00                                            c)   £       440.00
d) £ 300.00                                            d)   £       332.00
e) £        177.00                                     e)   £        63.00

2) Find 5 % of :                                       4) Find 17.5 % of :

a)    £      421.00                                     a)   £       179.00
b)    £ 257.00                                          b)   £       104.00
c)    £ 339.00                                          c)   £        34.00
d)    £ 346.00                                          d)   £       334.00
e)    £      184.00                                     e)   £       203.00

5) Calculate the new price and change in price
Sale            Original                 Change in
discount        Price      New Price Price
a)            30% £ 137.00
b)             5% £ 72.00
c)            40% £ 135.00

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls       created by A V Ali                          2/20/2012
GCSE Mathematics

Percentages Worksheet 1
1)                                                  3)

a)    £     3.90                                        a)   £    1.30
b)    £    31.40                                    b)       £    1.53
c)   £     38.90                                        c)   £   11.00
d)   £     30.00                                    d)       £    8.30
e)    £    17.70                                        e)   £    1.58

2)                                                  4)

a)    £    21.05                                        a)   £   31.33
b)    £    12.85                                    b)       £   18.20
c)    £    16.95                                        c)   £    5.95
d)    £    17.30                                    d)       £   58.45
e)    £     9.20                                        e)   £   35.53

5)
a)   £     95.90    £    41.10
b)   £     68.40    £     3.60
c)    £     81.00   £ 54.00

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls       created by A V Ali                    2/20/2012
GCSE Mathematics

Percentages Worksheet 2

1) Calculate the new price and change in price
Sale         Original                       Change in
discount     Price         New Price Price
a)           5% £ 23.00
b)            5% £ 106.00
c)           40% £ 103.00

2) Calculate the old price and change in price
Sale         Original                       Change in
discount     Price         New Price Price
a)          35%                  £ 81.25
b)           35%                  £ 57.20
c)           25%                  £ 97.50

3) Calculate the percentage discount and change in price
Sale         Original                       Change in
discount     Price         New Price Price
a)                 £ 51.00       £ 43.35
b)                  £ 132.00      £ 99.00
c)                  £ 103.00      £ 66.95

4) Calculate the new price price and percentage discount
Sale         Original                       Change in
discount     Price         New Price Price
a)                 £ 55.00                       £   11.00
b)                  £ 14.00                       £ 1.40
c)                  £ 100.00                      £ 10.00

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls            created by A V Ali               2/20/2012
GCSE Mathematics

Percentages Worksheet 2

1)                                            2)
a) £ 21.85          £   1.15                   a) £ 125.00   £ 43.75
b) £ 100.70         £   5.30                   b) £ 88.00    £ 30.80
c) £ 61.80         £ 41.20                    c) £ 130.00   £ 32.50

3)                                             4)
a)        15% £        7.65                   a)      20% £ 44.00
b)         25% £ 33.00                         b)      10% £ 12.60
c)        35% £ 36.05                         c)      10% £ 90.00

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls         created by A V Ali                           2/20/2012
GCSE Mathematics

Fraction Arithmetic Worksheet 1

Work out : -

a)    3    +     1                               a)    1     -      3
7          1                                     3            5

b)    2    +     1                               b)    2     -      3
6          1                                     9            6

c)    7    +     1                               c)    1     -      2
9          1                                     2            3

d)    5    +     3                               d)    1     -      3
6          3                                     1            4

e)    1    +     6                               e)    5     -      1
3          8                                     6            1

f)    4    +     4                               f)    4     -      1
4         10                                     13           9

g)    4    +     1                               g)    13    -      5
5          2                                     14           8

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls     created by A V Ali                           2/20/2012
GCSE Mathematics

Fraction Arithmetic Worksheet 1
1)                                                    2)
a)    10   =             3                           a)   -4    =   -4
1
7                  7                                15        15
b)    8    =             1                           b)   -15   =   -5
1
6                  3                                54        18
c)    16   =             7                           c)   -1    =   -1
1
9                  9                                6         6
d)    33   =             5                           d)    1    =    1
1
18                 6                                4         4
e)    26   =             1                           e)   -1    =   -1
1
24                 12                               6         6
f)    56   =             2                           f)   23    =   23
1
40                 5                                117       117
g)    13   =             3                           g)   34    =   17
1
10                 10                               112       56

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls          created by A V Ali                        2/20/2012
GCSE Mathematics

Fraction Arithmetic Worksheet 2

Work out : -
1)    Multiplication                          2)    Division

a)     6    x     1                           a)     7       2
8         6                                   7        2

b)     1    x    8                            b)     2       1
2         10                                  7        1

c)     5    x    3                            c)    10       2
6         3                                  15        2

d)     3    x    4                            d)     1       1
4         8                                   3        1

e)     2    x    7                            e)     5       9
2         8                                   6        9

f)     2    x     1                           f)     1       4
7         2                                  15        7

g)     5    x    2                            g)     1       1
5         7                                   2        7

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls       created by A V Ali                   2/20/2012
GCSE Mathematics

Fraction Arithmetic Worksheet 2
1)                                      2)
a)     6    =            1             a)     7       x   2   =   14   =
1
48                 8                    7           2       14
b)     8    =            2             b)     2       x   1   =   2    =       2
20                 5                    7           1       7            7
c)    15    =            5             c)     10      x   2   =   20   =       2
18                 6                    15          2       30           3
d)    12    =            3             d)         1   x   1   =   1    =       1
32                 8                    3           1       3            3
e)    14    =            7             e)     5       x   9   =   45   =       5
16                 8                    6           9       54           6
f)     2    =            1             f)         1   x   7   =   7    =       7
14                 7                    15          4       60           60
g)    10    =            2             g)         1   x   7   =   7    =       1
3
35                 7                    2           1       2            2

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls       created by A V Ali                                     2/20/2012
GCSE Mathematics

Pythagoras Worksheet 1

1) Find the value of length x correct to 1 dp

a)                          b)          56                     c)   x

50
x        57                               x                    23
60

57

d)                          e)                                 f)
x
x                       23    55
53                                          60
60
42
x

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls                 created by A V Ali                  2/20/2012
GCSE Mathematics

Pythagoras Worksheet 1

1)      a)       0.0        b)      75.1   c)   55.4

d)      67.6        e)      50.0   f)   0.0

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls                 created by A V Ali   2/20/2012
GCSE Mathematics

Trigonometry Worksheet 1

1) Find the value of length x correct to 1 dp

a)                           b)         49.0                          c)          x
30.0                          55.0

40.0                                 x                                           58.0
x

55.0

2) Find the value of angle A correct to 1 dp

a)                           b)                            c)
3.0
6.0          9.0                                 A
7.0
52.0
A                                              A
34.0

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls                                  created by A V Ali                     2/20/2012
GCSE Mathematics

Trigonometry Worksheet 1
1)
a)         32.8               b)      56.6           c)    40.6

2)
a)         11.6 degrees       b)      41.8 degrees   c)    86.7 degrees

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls                         created by A V Ali   2/20/2012
GCSE Mathematics

Algebra Worksheet 1

1)   Evaluate the following using x =          10 and y =       9

a)        8 x     +        3 y

b)        8 x     -        7 y

c)        6 x     +        6 y

d)        4 x     +        9 y                      Leave answer as a fraction
7 x

e)        4 x     -        3 y                      Leave answer as a fraction
5 y

a)        7 x     -        8         =         -8

b)        4 x     +        7         =          6

c)        6 y     -        8         =         -3

d)        6 y     +         1        =         -9

e)        4 z     -        10        =         -2

a)        8 x     +        6         =          4 x         +       3

b)        2 x     +        2         =         10 x         +        1

c)        7 y     +         1        =          8 y         +       7

d)        2 y     +        10        =          3 y         +       10

e)        2 z     +         1        =          4 z         +       4

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls          created by A V Ali                             2/20/2012
GCSE Mathematics

Algebra Worksheet 1

1)                                       2)

a)      107                              a)         0.0

b)       17                              b)         -0.3

c)      114                              c)         0.8

d)      121 =           51               d)         -1.7
1
70             70
e)         2.0
e)       13 =           13
45             45

3)

a)      -0.8

b)       0.1

c)      -6.0

d)      0.0

e)      -1.5

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls       created by A V Ali          2/20/2012
GCSE Mathematics

1)    Expand the following

a)    (    3   x      -   6    )   (   6   x    -     8    )          3    -6   6    -8
18 # 48
b)    (    3   x      -   2    )   (   5   x    -     1    )          3    -2   5    -1
15 #       2
c)    (    6   x      -   8    )   (   1   x    -     6    )          6    -8   1    -6
6    # 48
d)    (    4   x      +   5    )   (   2   x    -     8    )          4    5    2    -8
8    # #
e)    (    3   x      -   2    )   (   3   x    -     5    )          3    -2   3    -5
9    # 10
f)    (    6   x      -   5    )   (   6   x    +     6    )          6    -5   6    6
36    6    #
g)    (    4   x      -   3    )   (   1   x    +     3    )          4    -3   1    3
4    9    -9
h)    (    1   x      -   4    )   (   5   x    -     5    )          1    -4   5    -5
5    # 20

2)    Factorise the following

2
a)             15 x       +   11   x   -   12

b)             4   x2     -   6    x   -   4

2
c)             24 x       -   46   x   +   7

d)             4   x2     +   13   x   +   10

2
e)             10 x       +   35   x   +   25

2
f)             16 x       +   4    x   -   12

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls                                   created by A V Ali                  2/20/2012
GCSE Mathematics

1)                                                      2)
2
a)            18 x        -   60   x   +   48          a)    (    3    x   +   4   )   (   5   x   -   3   )   3
15
2
b)            15 x        -   13   x   +   2           b)    (    1    x   -   2   )   (   4   x   +   2   )   1
4
c)             6   x2     -   44   x   +   48          c)    (    4    x   -   7   )   (   6   x   -   1   )   4
24
d)             8   x2     -   22   x   -   40          d)    (    1    x   +   2   )   (   4   x   +   5   )   1
4
e)             9   x2     -   21   x   +   10          e)    (    2    x   +   5   )   (   5   x   +   5   )   2
10
2
f)            36 x        +   6    x   -   30          f)    (    4    x   -   3   )   (   4   x   +   4   )   4
16
g)             4   x2     +   9    x   -   9

h)             5   x2     -   25   x   +   20

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls                               created by A V Ali                                                2/20/2012
GCSE Mathematics

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls     created by A V Ali   2/20/2012
GCSE Mathematics

4         5        -3
11        -12
-2         4         2
-6        -4
-7         6        -1
-46         7
2         4         5
13        10
5         5         5
35        25
-3         4         4
4        -12

c6cdc56f-9ae2-4962-93b3-4d1e52029369.xls     created by A V Ali   2/20/2012

```
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