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The document contains 5 multi-part math word problems involving direct and inverse proportion. Problem 1 asks to find the value of M when L = 3 given that M is directly proportional to L3 and M = 160 when L = 2. Problem 2 asks to find a formula for y in terms of x given that y is directly proportional to x, and gives the values y = 10 when x = 500. Problem 3 asks to calculate the value of D when S = 25 given that D is proportional to S2 and D = 900 when S = 20.

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124 views2 pages

Clip 199

The document contains 5 multi-part math word problems involving direct and inverse proportion. Problem 1 asks to find the value of M when L = 3 given that M is directly proportional to L3 and M = 160 when L = 2. Problem 2 asks to find a formula for y in terms of x given that y is directly proportional to x, and gives the values y = 10 when x = 500. Problem 3 asks to calculate the value of D when S = 25 given that D is proportional to S2 and D = 900 when S = 20.

Uploaded by

zuhairahmed07
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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©MathsWatch Clip 199

Grade 7 questions Direct and Inverse Proportion

1) M is directly proportional to L3.

When L = 2, M = 160

Find the value of M when L = 3

2) y is directly proportional to x.

When x = 500, y = 10

a) Find a formula for y in terms of x.

b) Calculate the value of y when x = 350

3) D is proportional to S 2.

D = 900 when S = 20

Calculate the value of D when S = 25

4) P is inversely proportional to V.

When V = 8, P = 6

a) Find a formula for P in terms of V.

b) Calculate the value of P when V = 2

5) The time, T seconds, for a hot sphere to cool is proportional to the


square root of the surface area, A m2, of the sphere.
When A = 100, T = 30.
Find the value of T when A = 60.
Give your answer correct to 3 significant figures.

Page 199 A
©MathsWatch Clip 199
Grade 7 questions Direct and Inverse Proportion

1) x is directly proportional to y.
When x = 21, then y = 3.
a) Express x in terms of y.
b) Find the value of x when y is equal to 10.

2) a is inversely proportional to b.
When a = 12, then b = 4.
a) Find a formula for a in terms of b.

b) Find the value of a when b is equal to 8.

c) Find the value of b when a is equal to 4.

3) The variables u and v are in inverse proportion to one another.


When u = 3, then v = 8.
Find the value of u when v = 12.

4) p is directly proportional to the square of q.


p = 75 when q = 5
a) Express p in terms of q.
b) Work out the value of p when q = 7.
c) Work out the positive value of q when p = 27.

5) y is directly proportional to x2.


When x = 3, then y = 36.
a) Express y in terms of x.

z is inversely proportional to x.
When x = 4, z = 2.
b) Show that z = c yn , where c and n are numbers and c > 0.
You must find the values of c and n.

Page 199 B

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