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Rates and variations questions

Rates and variations questions | form three Basic Mathematics

Find Rates and variations examination questions, form three Basic Mathematics in acaproso.com

# Question
1

If q∗r =q - 4r, find x given that 3∗(1∗x) = 27.


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2

A map is drawn to a scale of 1:25000. The length of the road on the map is 20cm. What is the actual length of the road ?


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3

If aast b=3a^2 -b^3 , evaluate (4ast3)ast -5 .


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4
  1. The variable v varies directly as the square of x and inversely as y . Find v when x = 5 and
    y = 2 ; given that when v = 18 and x = 3 the value of y = 4 .
  2. The temperature (Ti) inside a house is directly proportional to the temperature (To) outside the
    house and is inversely proportional to the thickness (t) of the house wall. If Ti = 32°C when
    To = 24°C and t = 9cm , find the value of t when Ti = 36°C and To = 18°C.

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5

If X varies directly as Y and inversely as W, find the values of ​a​ and ​b​ in the table below.

X 8 6 b
Y 4 a 2
Z 2 3 4

 


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6

If P * Q is defined as 3 P − Q, Evaluate ( 5 * − 3 ) * 2.


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7

The variable y varies directly as x and inversely as square of x.

  1. Write down the equation connecting y, x and z.
  2. If x is increased by 5% and z is decreased by 10% write down the new equation connecting y,x and z and hence find the percentage change in y.

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8

It takes 24 days for 20 people to accomplish a certain task. How long could it take for 30 people to complete the same task?.


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9

The variable y is directly proportional to x2 and inversely proportional to z. If y=27 when x=3 and z=1, find y when x=6 and z=9.


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10

A car travelling steadily covers a distance of 480km in 25minutes. what is its rate in m/s.


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