Algebraic Proportion Worksheet #01, Algebra Revision From Gcse Maths Tutor
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proportion
Algebra - proportion GCSE Maths Tutor
question sheet A-F-01
www.gcsemathstutor.com
[email protected]
1. Copy and complete the table using the proportionality given: (a) y ∝ x
x y
1 5
3
5
(b) a ∝ b
a b
2
7 21
11
1 x
x y
0.5 10
1
2
1 (d) u ∝ v
u v
2 12
3
4
x y
2 24
x y
0.5 8
(c) y ∝
(e) y ∝ x
(f) y ∝
2
1 x2
6 54 1
2
2. The crop c of potatoes is directly proportional to the amount of fertiliser f used. It is found that 50kg of potatoes are produced from 4kg of fertiliser. (a) write an equation relating c to f (b) what is the expected crop when 10kg of fertiliser are used (c) how much fertiliser would be needed to produce a crop of 120kg of potatoes 3. An elastic band stretches uniformly when a force is applied to it. A force of 20 Newtons produces an increase in length of 4 cm. (a) what force will produce an increase in length of 7.5 cm? (b) what increase in length will be produced by a 17 Newton force? 4. It is believed that the value of a car is inversely proportional to its age. (a) if the value of a car is £3000 at one year old, what is its value when it is 3 years old? (b) how old will the car be when it has reached a value of £500?
GCSE Maths Tutor
www.gcsemathstutor.com
[email protected]
proportion
Algebra - proportion GCSE Maths Tutor
answer sheet A-F-01
www.gcsemathstutor.com
[email protected]
1. (a) y ∝ x
x y
1 5
3 15
5 25
(b) a ∝ b
a b
2 6
7 21
11 33
1 x
x y
0.5 10
1 5
2 2.5
1 (d) u ∝ v
u v
2 12
3 8
4 6
x y
2 24
3 54
6 216
x y
0.5 8
1 2
2 0.5
(c) y ∝
(e) y ∝ x
(f) y ∝ 2.
2
1 x2
(a) c = 12.5 f
(b) 125kg
(c) 9.6kg
3. (a) 37.5 Newtons (b) 3.4 cm 4. (a) £1000 (b) 6 years old
GCSE Maths Tutor
www.gcsemathstutor.com
[email protected]
Algebra - proportion GCSE Maths Tutor
question sheet A-F-01
www.gcsemathstutor.com
[email protected]
1. Copy and complete the table using the proportionality given: (a) y ∝ x
x y
1 5
3
5
(b) a ∝ b
a b
2
7 21
11
1 x
x y
0.5 10
1
2
1 (d) u ∝ v
u v
2 12
3
4
x y
2 24
x y
0.5 8
(c) y ∝
(e) y ∝ x
(f) y ∝
2
1 x2
6 54 1
2
2. The crop c of potatoes is directly proportional to the amount of fertiliser f used. It is found that 50kg of potatoes are produced from 4kg of fertiliser. (a) write an equation relating c to f (b) what is the expected crop when 10kg of fertiliser are used (c) how much fertiliser would be needed to produce a crop of 120kg of potatoes 3. An elastic band stretches uniformly when a force is applied to it. A force of 20 Newtons produces an increase in length of 4 cm. (a) what force will produce an increase in length of 7.5 cm? (b) what increase in length will be produced by a 17 Newton force? 4. It is believed that the value of a car is inversely proportional to its age. (a) if the value of a car is £3000 at one year old, what is its value when it is 3 years old? (b) how old will the car be when it has reached a value of £500?
GCSE Maths Tutor
www.gcsemathstutor.com
[email protected]
proportion
Algebra - proportion GCSE Maths Tutor
answer sheet A-F-01
www.gcsemathstutor.com
[email protected]
1. (a) y ∝ x
x y
1 5
3 15
5 25
(b) a ∝ b
a b
2 6
7 21
11 33
1 x
x y
0.5 10
1 5
2 2.5
1 (d) u ∝ v
u v
2 12
3 8
4 6
x y
2 24
3 54
6 216
x y
0.5 8
1 2
2 0.5
(c) y ∝
(e) y ∝ x
(f) y ∝ 2.
2
1 x2
(a) c = 12.5 f
(b) 125kg
(c) 9.6kg
3. (a) 37.5 Newtons (b) 3.4 cm 4. (a) £1000 (b) 6 years old
GCSE Maths Tutor
www.gcsemathstutor.com
[email protected]
