Maths 4 Real 2
Programme 3 Rearranging Formulae
Worksheet 1: Programme Questions
1. What formula connects the number of women and the number of toilets needed?
2. What make of car does Katie choose?
3. What formula is Katie going to use to work out the cost?
4. How much money does Katie have to spend?
5. In the Tick or Trash item, what do the letters in the formula represent?
6. Write down the correct rearrangement of this formula.
7. Write down the formula used to calculate Jamie’s air consumption rate.
8. What do the letters O and F stand for in this formula?
9. When Jamie rearranges the formula, what letter is he going to make the subject?
10. Why isn’t tC – O = –F acceptable as the final step of the rearrangement?
© Channel Four Television Corporation 2002
page 1 of 5
Maths 4 Real 2
Programme 3 Rearranging Formulae
Worksheet 2: Tick or Trash
Here are some questions and answers (by Students A and B) on rearranging formulae.
Decide which answers to Tick (correct) and which to Trash (incorrect). Give reasons.
Question 1
Make x the subject of the formula
y = x2 + 4
5
Student A Answer
Student B Answer
y = x2 + 4
5
y = x2 + 4
5
5 y = x2 + 4
5 y = x2 + 4
5 y – 4 = x2
x2 + 4 = 5 y
x2 = 5y – 4
x2 = 5y – 4
x = 5y – 4
x
x = 5y – 4
Question 2
Daniel buys n books at £4 each.
He pays for them with a £20 note.
He receives C pounds in change.
Write down a formula for C in terms of n.
Student A Answer
Student B Answer
Books cost £4n
Change C = £4n - 20
Change = £20 – cost of books
C = 20 – 4n
© Channel Four Television Corporation 2002
page 2 of 5
Maths 4 Real 2
Programme 3 Rearranging Formulae
Worksheet 3: Exam Practice Questions (Edexcel)
Question 1
National curriculum reference: A3b
▲
r
Date: November 1998
Paper: 3
▲
▲
h
▲
▲
R
▲
The diagram shows a solid.
The volume, V, of the solid is given by the formula
V = πh (R 2 + Rr + r 2)
3
(a) h = 6.8, R = 9.7 and r = 5.3.
Calculate the value of V.
Give your answer correct to 3 significant figures.
(3 marks)
(b) Make h the subject of the formula.
(2 marks)
[5]
Question 2
National curriculum reference: A3b
xcm
Date: November 1998
50cm
2xcm
Paper: 4
Diagram is NOT
accurately drawn
70cm
xcm
The perimeter of the pentagon is 200cm.
Work out the value of x.
[3]
© Channel Four Television Corporation 2002
page 3 of 5
Maths 4 Real 2
Programme 3 Rearranging Formulae
Worksheet 3: Exam Practice Questions (Edexcel)
Question 3
National curriculum reference: A3b
Date: June 1995
Paper: 1
The velocity of a particle is given by the formula:
v2 = u2 + 2as
(a) Calculate the value of the velocity v when u = –5, a =
(b) Rearrange the formula to make u the subject.
2
and s = 5.67
3
[5]
Question 4
National curriculum reference: A3b
Date: November 1997
Paper: 3
The volume, V, of the barrel is given by the formula V =
πH(2R2 + r2)
3000
π = 3.14, H = 60, R = 25 and r = 20.
▲
R cm
H
rcm
▲
Calculate the value of V.
Give your answer correct to 3 significant figures.
[3]
Question 5
National curriculum reference: A3b
Date: June 1995
Paper: 1
v2 = u2 + 2as
(a) Calculate the value of v when u = – 6, a = 5 and s = 0.8.
Give your answer to one significant figure.
(b) Make u the subject of the formula v2 = u2 + 2as.
© Channel Four Television Corporation 2002
[5]
page 4 of 5
Maths 4 Real 2
Programme 3 Rearranging Formulae
Worksheet 3: Exam Practice Questions (Edexcel)
Question 6
National curriculum reference: A3b
Date: June 1999
Paper: 3
C = 180R + 2000
The formula gives the capacity, C litres, of a tank needed to supply water to R hotel rooms.
R=5
(a) Work out the value of C.
(2 marks)
C = 3440
(b) Work out the value of R.
(2 marks)
A water tank has a capacity of 3200 litres.
(c) Work out the greatest number of hotel rooms it could supply.
(3 marks)
(d) Make R the subject of the formula C = 180R + 2000
© Channel Four Television Corporation 2002
(2 marks)
[9]
Total = 30
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