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Expressions and Equations

KS3 Maths Higher Questions – Expressions and Equations

1) The number if T turns wheel makes is equal to the power, P applied multiplied by the angle, A started at, add 30. Write and expression for T:

T =

2) The cost, C of building a model depends upon the height, h multiplied by the width, w, in addition to the number of branches, b.

a) Write an expression for C
C =

b) What is the cost when the model needs to be 2m tall, 0.5m wide and requires 9 branches?
C = £

c) How many branches are required if the model is 4m tall, 0.3m wide and the cost must be £5.20?
b =

d) The volume of water, V need at a hotel is the volume in the swimming pool and the volume of triangular hot tub. Volume of the pool is given by the width, w multiplied by the length, L, multiplied by the depth, d. the volume of the hot tub is given by the length, ᴌ multiplied by width, ᴪ, multiplied by depth, ᴆ divided by 3.

i) Write an expression for the total volume of water need V =

ii) Find V when the pool length is 8m, pool width is 3m, depth is 2.5m, tub length is 2m, tub width is 2.5m and tub depth is 1.5m.
V = m3

iii)Find tub depth when pool length is 3m, pool width is 2m, depth is 1.5m, tub length is 2m, tub width is 2.5m and total volume is 40m3.
ᴆ = m

3. Adam decided that he had watched too much television for one day.

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