Direct Proportion Quiz
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Question 1 of 10
1. Question
The amount of paint is directly proportional to the price of paint. If 1.5 litres = £24, how much is 25 litres? How much is 1 litre?
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25 litres = £
1 litre = £
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Question 2 of 10
2. Question
x is directly proportional to y, x=12 when y=2.
When is x when y=7?
What is y when x=60?
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when y=7, x=
when x=60, y=
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Question 3 of 10
3. Question
y is directly proportional to x. y=20 when x=5.
What is x when y=90?
What is y when x=2?
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When y=90 x=
When x=2, y=
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Question 4 of 10
4. Question
x is directly proportional to the cube of y. When y=3, x=108.
Find the value of x when y=5.
Find the value of y when x=62.5
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When y=5, x=
When x=62.5, y=
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Question 5 of 10
5. Question
w is proportional to the square root of v. v is 25 when w is 45.
What is w when v=100?
What is v when w=108?
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When v=100, w=
When w=108, v=
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Question 6 of 10
6. Question
b is directly proportional to the square of f. When f=100, b=200.
Find the value of b when f=61.5.
Find the value of f when b=14.
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When f=61.5 b=
When b=14, f= to 2 decimal places.
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Question 7 of 10
7. Question
a is directly proportional to b³.
If a=115.2 when b=4, find b when a=48.6.
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When a=48.6, b=
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Question 8 of 10
8. Question
E is directly proportional to the square root of C.
If E=48 when C=36, find E when C=81.
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When C=81, E=
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Question 9 of 10
9. Question
The time take for a ball to drop from its maximum height is directly proportional to the square root of the distance fallen. Given that a ball takes 2.6 seconds to fall 25m, find the time taken for the ball to fall 41m.
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Time = seconds (to 1 decimal place)
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Question 10 of 10
10. Question
The volume of a sphere is directly proportional to the cube of its radius. The volume of a sphere with radius 15cm is 14137.17cm³.
Find the volume of a sphere of radius 23cm.
Find the radius of a sphere of volume 1000cm³ correct to 1 decimal place.
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When radius = 23cm Volume= cm³ to 2 decimal places
When Volume=1000cm³, radius = cm to 1 decimal place.
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