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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
* Quadratics
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,
you want additional practice material.
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
Answers
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
Answers
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 : -
1) Addition 2) Subtraction
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
Answers
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
Answers
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
Answers
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
Answers
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
2) Solve the following, give your answers to 1 dp
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
3) Solve the following, give your answers to 1 dp
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
Answers
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
Quadratics Worksheet 1
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
Quadratics Worksheet 1
Answers
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
