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Worksheets

Building Formulae

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

A plumber charges £16 for each job that he attends, and then £9 per hour for every hour that he works. Choose the formula that could be used to calculate how much the plumber would charge for a job:


h stands for the number of hours worked

a)

9h - 16

b)

16h + 9

c)

9h + 16

d)

9 + 16 + h

2.

Emi and Becky are sisters. This formula can be used to calculate Becky’s age, compared to Emi’s age:


e + 4 = b


e stands for Emi’s age.

b stands for Becky’s age.


When Emi is 11, how old will Becky be?

a)

5 years old

b)

15 years old

c)

10 years old

d)

20 years old

3.

A gardener calculates the perimeter of a garden to work out how much fencing is needed. She uses this formula:


l + w + l + w


l stands for the length of the garden.

w stands for the width of the garden.


Simplify this formula:

a)

2l + 2w

b)

l + w

c)

2l + w

d)

2w + l

4.

A builder needs to calculate the area of a bathroom floor, to work out how much it will cost to tile it. Tiles cost £5 per square metre, plus £10 for delivery. He uses this formula:


5a + 10


a stands for area of the floor (in square metres).


Calculate the cost of tiling a floor, where the area is 10 square metres:

a)

£50

b)

£60

c)

£15

d)

£10

5.

A painter and decorator charges £8 for every hour that she works, and she is currently offering a discount of £5 on each job.


Write the formula she could use to calculate how much money to charge her customers. Use h to represent the number of hours.

a)

h - 5

b)

8 - 5h

c)

8h + 5

d)

8h - 5

6.

The cost of hiring a motorboat is £80 plus £50 per hour.


Write a formula to show the total cost of hiring the motorboat.


T stands for the total cost.

h stands for the number of hours.

a)

T = 80 - 50h

b)

T = 80 + 50h

c)

T = 50h - 80

d)

T = 80h

7.

A car salesperson earns £1500 a month basic pay plus an extra £500 for each car that he sells.


Write a formula for his monthly pay.


Use P for his monthly pay and n for the number of cars he sells.

a)

P = 1500 - 500n

b)

P = 1500 + 500n

c)

P = 1500n + 500

d)

P = 1500n - 500

8.

Anna says, " If you add 5 to my number and divide by 2, it makes 7."

Which equation below is true?

a)

  (x + 5) ÷2 = 7\left(x\ +\ 5\right)\ \div2\ =\ 7  

b)

 5x ÷2 = 75x\ \div2\ =\ 7  

c)

 (x + 5) = 7 ÷2\left(x\ +\ 5\right)\ =\ 7\ \div2  

d)

 5÷2 = 7x5\div2\ =\ 7x  

9.

Ben says, "If you multiply my lucky number by 4 and take away 2, it makes 10."


Which equation below is true?

a)

4 - 2x = 10

b)

4x - 2 = 10

c)

4 - 2 = 10x

d)

4 - x - 2 = 10

10.

Sajid says, "If you multiply my lucky number by 5 and then take away 13, you are left with 7.


What is Sajid's lucky number?

a)

8

b)

6

c)

2

d)

4