# GCSE Maths Active Worksheets Use the following sheet to to produce a

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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) £        23.00                                      a)   £       398.00
b) £        33.00                                      b)   £       279.00
c) £        171.00                                     c)   £       318.00
d) £        128.00                                     d)   £       360.00
e) £        241.00                                     e)   £        95.00

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

a)    £       31.00                                     a)   £        116.00
b)    £      140.00                                     b)   £       452.00
c)    £ 469.00                                          c)   £       387.00
d)    £ 320.00                                          d)   £       220.00
e)    £      215.00                                     e)   £         15.00

5) Calculate the new price and change in price
Sale            Original                 Change in
discount        Price      New Price Price
a)            30% £ 44.00
b)            25% £ 94.00
c)            30% £ 25.00

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls       created by A V Ali                          11/25/2010
GCSE Mathematics

Percentages Worksheet 1
1)                                                   3)

a)    £      2.30                                        a)   £    9.95
b)    £      3.30                                    b)       £    6.98
c)    £     17.10                                        c)   £    7.95
d)    £     12.80                                    d)       £    9.00
e)    £     24.10                                        e)   £    2.38

2)                                                   4)

a)    £      1.55                                        a)   £   20.30
b)    £      7.00                                    b)       £   79.10
c)    £    23.45                                         c)   £   67.73
d)    £     16.00                                    d)       £   38.50
e)    £     10.75                                        e)   £    2.63

5)
a)    £     30.80    £ 13.20
b)    £     70.50    £ 23.50
c)    £     17.50    £     7.50

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls        created by A V Ali                    11/25/2010
GCSE Mathematics

Percentages Worksheet 2

1) Calculate the new price and change in price
Sale          Original                       Change in
discount      Price         New Price Price
a)          45% £ 18.00
b)          45% £ 29.00
c)          20% £ 46.00

2) Calculate the old price and change in price
Sale          Original                       Change in
discount      Price         New Price Price
a)          5%                    £ 35.15
b)          50%                   £ 9.50
c)          30%                   £ 65.10

3) Calculate the percentage discount and change in price
Sale          Original                       Change in
discount      Price         New Price Price
a)                 £ 141.00       £ 84.60
b)                 £ 148.00       £ 88.80
c)                 £ 146.00       £ 131.40

4) Calculate the new price price and percentage discount
Sale          Original                       Change in
discount      Price         New Price Price
a)                 £ 94.00                        £    9.40
b)                 £ 47.00                        £ 18.80
c)                 £ 95.00                        £ 28.50

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls             created by A V Ali               11/25/2010
GCSE Mathematics

Percentages Worksheet 2

1)                                            2)
a) £ 9.90          £   8.10                   a) £ 37.00   £   1.85
b) £ 15.95         £ 13.05                    b) £ 19.00   £   9.50
c) £ 36.80         £   9.20                   c) £ 93.00   £ 27.90

3)                                            4)
a)         40% £ 56.40                        a)     10% £ 84.60
b)         40% £ 59.20                        b)     40% £ 28.20
c)         10% £ 14.60                        c)     30% £ 66.50

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls         created by A V Ali                           11/25/2010
GCSE Mathematics

Fraction Arithmetic Worksheet 1

Work out : -

a)    3     +     6                              a)    2     -      1
5           8                                    14           2

b)    3     +     1                              b)    1     -      6
10          2                                    3            6

c)    9     +     2                              c)    8     -      1
9           3                                    13           1

d)    1     +     2                              d)    6     -      3
1           4                                    6            5

e)    4     +     4                              e)    3     -      1
4           7                                    3            6

f)    7     +     9                              f)    11    -      4
9          10                                    12           5

g)    2     +     1                              g)    2     -      2
10          1                                    2            2

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls     created by A V Ali                           11/25/2010
GCSE Mathematics

Fraction Arithmetic Worksheet 1
1)                                                    2)
a)    54    =            7                           a)   -10   =       -5
1
40                 20                               28            14
b)    16    =            4                           b)   -12   =       -2
20                 5                                18            3
c)    45    =            2                           c)   -5    =       -5
1
27                 3                                13            13
d)    6     =            1                           d)   12    =       2
1
4                  2                                30            5
e)    44    =            4                           e)   15    =       5
1
28                 7                                18            6
f)   151    =            61                          f)   7     =       7
1
90                 90                               60            60
g)    12    =            1                           g)   0     =
1                                               0
10                 5                                4

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls          created by A V Ali                           11/25/2010
GCSE Mathematics

Fraction Arithmetic Worksheet 2

Work out : -
1)    Multiplication                          2)    Division

a)     1    x    3                            a)     1       3
4         5                                   7        8

b)     2    x    2                            b)     3       1
2         8                                   8        3

c)     6    x    2                            c)     2       1
8         2                                  12        2

d)     9    x    4                            d)     2       3
9         6                                   2        3

e)     4    x    4                            e)     1       1
8         5                                   1        1

f)     6    x    3                            f)     2       1
10         3                                   5        6

g)     1    x    8                            g)     9       4
3         8                                  13        6

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls        created by A V Ali                   11/25/2010
GCSE Mathematics

Fraction Arithmetic Worksheet 2
1)                                      2)
a)    3     =           3              a)         1   x   8   =   8    =       8
20                20                    7           3       21           21
b)    4     =           1              b)     3       x   3   =   9    =       1
1
16                4                     8           1       8            8
c)    12    =           3              c)     2       x   2   =   4    =       1
16                4                     12          1       12           3
d)    36    =           2              d)     2       x   3   =   6    =
1
54                3                     2           3       6
e)    16    =           2              e)         1   x   1   =   1    =
1
40                5                         1       1       1
f)    18    =           3              f)     2       x   6   =   12   =       2
2
30                5                     5           1       5            5
g)    8     =           1              g)     9       x   6   =   54   =       1
1
24                3                     13          4       52           26

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls        created by A V Ali                                     11/25/2010
GCSE Mathematics

Pythagoras Worksheet 1

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

a)                          b)            41                    c)   x

33
x        55                               x                    4
47

16

d)                          e)                                  f)
x
x                       20    60
24                                          38
60
57
x

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls                  created by A V Ali                 11/25/2010
GCSE Mathematics

Pythagoras Worksheet 1

1)     a)       52.6        b)     52.6   c)   46.8

d)       61.8        e)     56.6   f)   46.4

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls                 created by A V Ali   11/25/2010
GCSE Mathematics

Trigonometry Worksheet 1

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

a)                           b)         5.0                          c)          x
25.0                          25.0

55.0                               x                                           53.0
x

15.0

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

a)                           b)                           c)
54.0
60.0     60.0                                    A
47.0
55.0
A                                            A
54.0

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls                                 created by A V Ali                     11/25/2010
GCSE Mathematics

Trigonometry Worksheet 1
1)
a)         14.2                b)      5.5           c)   113.7

2)
a)         41.0 degrees        b)     90.0 degrees   c)    10.9 degrees

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls                         created by A V Ali   11/25/2010
GCSE Mathematics

Algebra Worksheet 1

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

a)        1 x    +        5 y

b)        3 x    -        4 y

c)        1 x    +        1 y

d)        1 x     +       7 y                     Leave answer as a fraction
6 x

e)        2 x     -       6 y                     Leave answer as a fraction
1 y

a)       10 x    +        2        =          4

b)        4 x    +        9        =         -5

c)        9 y    +        1        =          6

d)        9 y    -        7        =         -6

e)        4 z    -        9        =          3

a)        9 x    +        9        =         10 x         +        6

b)        1 x    +        7        =         10 x         +        9

c)        3 y    -        7        =          4 y         +        2

d)        1 y    -        1        =          5 y         +        6

e)        3 z    -        3        =          3 z         +        8

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls         created by A V Ali                             11/25/2010
GCSE Mathematics

Algebra Worksheet 1

1)                                        2)

a)       51                               a)         0.2

b)      -37                               b)         -3.5

c)       11                               c)         0.6

d)       71 =             5               d)          0.1
11
6               6
e)         3.0
e)      -58 =             4
-5
10               5

3)

a)      3.0

b)     -0.2

c)     -9.0

d)      -1.8

e)   no solution

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls         created by A V Ali          11/25/2010
GCSE Mathematics

1)    Expand the following

a)    (    2   x      -   1    )   (   2   x    -     1    )          2    -1   2   -1
4    -4   1
b)    (    6   x      +   7    )   (   3   x    -     5    )          6    7    3   -5
18 -9 #
c)    (    2   x      -   5    )   (   5   x    +     4    )          2    -5   5   4
10 # #
d)    (    4   x      -   5    )   (   3   x    +     4    )          4    -5   3   4
12    1    #
e)    (    2   x      +   4    )   (   4   x    +     3    )          2    4    4   3
8    22 12
f)    (    6   x      -   2    )   (   1   x    -     3    )          6    -2   1   -3
6    #    6
g)    (    6   x      -   2    )   (   2   x    -     1    )          6    -2   2   -1
12 #       2
h)    (    6   x      -   1    )   (   4   x    +     6    )          6    -1   4   6
24 32 -6

2)    Factorise the following

2
a)             20 x       -   7    x   -   49

2
b)             24 x       -   68   x   +   40

2
c)             15 x       +   11   x   -   14

2
d)             10 x       +   45   x   +   35

2
e)             15 x       -   43   x   +   8

2
f)             36 x       +   24   x   -   5

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls                                   created by A V Ali                 11/25/2010
GCSE Mathematics

1)                                                       2)
a)              4     x2   -   4    x   +   1           a)    (    4    x   -   7   )   (   5   x   +   7   )   4
20
2
b)             18 x        -   9    x   -   35          b)    (    6    x   -   5   )   (   4   x   -   8   )   6
24
2
c)             10 x        -   17   x   -   20          c)    (    3    x   -   2   )   (   5   x   +   7   )   3
15
2
d)             12 x        +   1    x   -   20          d)    (    5    x   +   5   )   (   2   x   +   7   )   5
10
e)              8     x2   +   22   x   +   12          e)    (    3    x   -   8   )   (   5   x   -   1   )   3
15

f060caed-51a7-45b3-8d72-dfa3f75ac4ac.xls                                created by A V Ali                                                11/25/2010

```
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