Practice Books

Final book will contain a

free CD-rOM

Advance MaterialContains 8 uncorrected sample pages from the

Oxford GCSE Maths Practice Books. There will be one Practice

Book for Foundation and one Practice Book for Higher.

K37162_A5_12pp_blad_0210.indd 1 4/2/10 16:46:16

K37162_A5_12pp_blad_0210.indd 2 4/2/10 16:46:16

ContentsFoundation level sample pages ..............pages 2–4Chapter 13, ‘Bivariate data and time series’ from Oxford GCSE Maths for OCR Foundation Practice Book

Higher level sample pages ...........................pages 5–8Chapter 17, ‘Percentages and proportional change’ from Oxford GCSE Maths for OCR Higher Practice Book

Ordering details .....................................................Back cover

K37162_A5_12pp_blad_0210.indd 3 4/2/10 16:46:17

13 Bivariate data and time series

Scatter graphs 13a

1 Here are the heights and masses of 9 people.

a Draw the axes shown and complete the

scatter graph.

b Describe the correlation (if any)

which the diagram shows.

Height in cm180

1100 45 85

Mass in kg

2 Plot the points given on a scatter graph, with x across the page

and y up the page. Draw axes with values from 0 to 20.

Describe the correlation, if any, between the values of x and y.

(for example, ‘strong positive’, ‘weak negative’ etc.)

a x 4 14 10 20 18 8 4 8

y 14 8 6 2 4 16 20 10

b x 10 10 4 6 8 14 14 12 9

y 12 14 4 6 10 18 16 14 10

c If there is correlation, draw a line of best fit through the points

you have plotted.

Name Mass(kg)

Height(cm)

Alan 45 115

Ben 60 160

Phil 65 155

Lucy 55 125

Henry 75 160

Harry 75 170

Dick 65 140

Spike 85 180

Sam 52 146

69 13 Bivariate data and time series

13 Bivariate data and time series

Scatter graphs 13a

1 Here are the heights and masses of 9 people.

a Draw the axes shown and complete the

scatter graph.

b Describe the correlation (if any)

which the diagram shows.

Height in cm180

1100 45 85

Mass in kg

2 Plot the points given on a scatter graph, with x across the page

and y up the page. Draw axes with values from 0 to 20.

Describe the correlation, if any, between the values of x and y.

(for example, ‘strong positive’, ‘weak negative’ etc.)

a x 4 14 10 20 18 8 4 8

y 14 8 6 2 4 16 20 10

b x 10 10 4 6 8 14 14 12 9

y 12 14 4 6 10 18 16 14 10

c If there is correlation, draw a line of best fit through the points

you have plotted.

Name Mass(kg)

Height(cm)

Alan 45 115

Ben 60 160

Phil 65 155

Lucy 55 125

Henry 75 160

Harry 75 170

Dick 65 140

Spike 85 180

Sam 52 146

69 13 Bivariate data and time series

Correlation 13b

1 Look at these diagrams.

A B C

D E F

Which diagrams show

a no correlation b positive correlation c negative correlation?

Line of best fit 13c

1 The table shows pulse rates and weights of an under 16s football team.

Weight (kg) 30 35 40 55 85 75 60 65 85 82 62

Pulse (beats/min) 55 80 91 80 52 60 51 70 51 94 89

Line of best fit 13c 70

Sample booklet page 1

Sample page from Oxford GCSE Maths for OCR Foundation Practice Book

K37162_A5_12pp_blad_0210.indd 4 4/2/10 16:46:19

13 Bivariate data and time series

Scatter graphs 13a

1 Here are the heights and masses of 9 people.

a Draw the axes shown and complete the

scatter graph.

b Describe the correlation (if any)

which the diagram shows.

Height in cm180

1100 45 85

Mass in kg

2 Plot the points given on a scatter graph, with x across the page

and y up the page. Draw axes with values from 0 to 20.

Describe the correlation, if any, between the values of x and y.

(for example, ‘strong positive’, ‘weak negative’ etc.)

a x 4 14 10 20 18 8 4 8

y 14 8 6 2 4 16 20 10

b x 10 10 4 6 8 14 14 12 9

y 12 14 4 6 10 18 16 14 10

c If there is correlation, draw a line of best fit through the points

you have plotted.

Name Mass(kg)

Height(cm)

Alan 45 115

Ben 60 160

Phil 65 155

Lucy 55 125

Henry 75 160

Harry 75 170

Dick 65 140

Spike 85 180

Sam 52 146

69 13 Bivariate data and time series

Correlation 13b

1 Look at these diagrams.

A B C

D E F

Which diagrams show

a no correlation b positive correlation c negative correlation?

Line of best fit 13c

1 The table shows pulse rates and weights of an under 16s football team.

Weight (kg) 30 35 40 55 85 75 60 65 85 82 62

Pulse (beats/min) 55 80 91 80 52 60 51 70 51 94 89

Line of best fit 13c 70

Correlation 13b

1 Look at these diagrams.

A B C

D E F

Which diagrams show

a no correlation b positive correlation c negative correlation?

Line of best fit 13c

1 The table shows pulse rates and weights of an under 16s football team.

Weight (kg) 30 35 40 55 85 75 60 65 85 82 62

Pulse (beats/min) 55 80 91 80 52 60 51 70 51 94 89

Line of best fit 13c 70

Sample booklet page 2

Sample page from Oxford GCSE Maths for OCR Foundation Practice Book

K37162_A5_12pp_blad_0210.indd 5 4/2/10 16:46:20

a Copy and complete

the scatter graph to

show the data.

b Describe the

correlation in the

scatter graph.

4020 30 40 50 60 70 80 90

50

60

70

80

90

100

Pulse rate

Weight (kg)

2 The table shows the heights and weights of eight students.

Weight (kg) 35 65 71 45 50 30 83 75

Height (cm) 150 170 178 160 167 155 180 177

a Draw a scatter graph to show the

data in the table.

b Describe the correlation.

c Draw a line of best fit.

d Another student is 166 cm tall.

Use your line of best fit to estimate

that student’s likely weight.

Height

Weight

3 Describe the correlation in each diagram.

a b c

71 13 Bivariate data and time series

a Copy and complete

the scatter graph to

show the data.

b Describe the

correlation in the

scatter graph.

4020 30 40 50 60 70 80 90

50

60

70

80

90

100

Pulse rate

Weight (kg)

2 The table shows the heights and weights of eight students.

Weight (kg) 35 65 71 45 50 30 83 75

Height (cm) 150 170 178 160 167 155 180 177

a Draw a scatter graph to show the

data in the table.

b Describe the correlation.

c Draw a line of best fit.

d Another student is 166 cm tall.

Use your line of best fit to estimate

that student’s likely weight.

Height

Weight

3 Describe the correlation in each diagram.

a b c

71 13 Bivariate data and time series

a Copy and complete

the scatter graph to

show the data.

b Describe the

correlation in the

scatter graph.

4020 30 40 50 60 70 80 90

50

60

70

80

90

100

Pulse rate

Weight (kg)

2 The table shows the heights and weights of eight students.

Weight (kg) 35 65 71 45 50 30 83 75

Height (cm) 150 170 178 160 167 155 180 177

a Draw a scatter graph to show the

data in the table.

b Describe the correlation.

c Draw a line of best fit.

d Another student is 166 cm tall.

Use your line of best fit to estimate

that student’s likely weight.

Height

Weight

3 Describe the correlation in each diagram.

a b c

71 13 Bivariate data and time series

17 Percentages and proportional change

Percentage increase and decrease 17a

ReminderPercentage increase = actual increase

original value· 100

1%

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

1 The price of a motor bike was increased from £2400 to £2496.

Calculate the percentage increase in the price.

2 Calculate the percentage increase.

a

bc

Original price Final price

£850 £901

£14 600 £14 892

£66.50 £73.15

3 The population of a village went down from 880 to 836. Calculate the percentage

decrease in the population.

4 After his last film a successful actor’s fee went up from £2 million to £3.25 million.

What was the percentage increase in his fee?

5 Steve bought a car at an auction for £1600 and two weeks later sold it for £1824.

Calculate his percentage profit.

6 Given that M = ab, find the percentage increase in M when both a and b are

increased by 8%.

Reverse percentages 17b

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

After an increase of 8%, the price of a boat is £7560.

What was the price before the increase?

108% of old price = £7560

1% of old price = £(7560 4 108)

100% of old price = 7560108

· 100 = £7000

70 Reverse percentages 17b

Sample booklet page 3

Sample page from Oxford GCSE Maths for OCR Foundation Practice Book

K37162_A5_12pp_blad_0210.indd 6 4/2/10 16:46:21

Correlation 13b

1 Look at these diagrams.

A B C

D E F

Which diagrams show

a no correlation b positive correlation c negative correlation?

Line of best fit 13c

1 The table shows pulse rates and weights of an under 16s football team.

Weight (kg) 30 35 40 55 85 75 60 65 85 82 62

Pulse (beats/min) 55 80 91 80 52 60 51 70 51 94 89

Line of best fit 13c 70

a Copy and complete

the scatter graph to

show the data.

b Describe the

correlation in the

scatter graph.

4020 30 40 50 60 70 80 90

50

60

70

80

90

100

Pulse rate

Weight (kg)

2 The table shows the heights and weights of eight students.

Weight (kg) 35 65 71 45 50 30 83 75

Height (cm) 150 170 178 160 167 155 180 177

a Draw a scatter graph to show the

data in the table.

b Describe the correlation.

c Draw a line of best fit.

d Another student is 166 cm tall.

Use your line of best fit to estimate

that student’s likely weight.

Height

Weight

3 Describe the correlation in each diagram.

a b c

71 13 Bivariate data and time series

a Copy and complete

the scatter graph to

show the data.

b Describe the

correlation in the

scatter graph.

4020 30 40 50 60 70 80 90

50

60

70

80

90

100

Pulse rate

Weight (kg)

2 The table shows the heights and weights of eight students.

Weight (kg) 35 65 71 45 50 30 83 75

Height (cm) 150 170 178 160 167 155 180 177

a Draw a scatter graph to show the

data in the table.

b Describe the correlation.

c Draw a line of best fit.

d Another student is 166 cm tall.

Use your line of best fit to estimate

that student’s likely weight.

Height

Weight

3 Describe the correlation in each diagram.

a b c

71 13 Bivariate data and time series

17 Percentages and proportional change

Percentage increase and decrease 17a

ReminderPercentage increase = actual increase

original value· 100

1%

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

1 The price of a motor bike was increased from £2400 to £2496.

Calculate the percentage increase in the price.

2 Calculate the percentage increase.

a

bc

Original price Final price

£850 £901

£14 600 £14 892

£66.50 £73.15

3 The population of a village went down from 880 to 836. Calculate the percentage

decrease in the population.

4 After his last film a successful actor’s fee went up from £2 million to £3.25 million.

What was the percentage increase in his fee?

5 Steve bought a car at an auction for £1600 and two weeks later sold it for £1824.

Calculate his percentage profit.

6 Given that M = ab, find the percentage increase in M when both a and b are

increased by 8%.

Reverse percentages 17b

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

After an increase of 8%, the price of a boat is £7560.

What was the price before the increase?

108% of old price = £7560

1% of old price = £(7560 4 108)

100% of old price = 7560108

· 100 = £7000

70 Reverse percentages 17b

17 Percentages and proportional change

Percentage increase and decrease 17a

ReminderPercentage increase = actual increase

original value· 100

1%

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

1 The price of a motor bike was increased from £2400 to £2496.

Calculate the percentage increase in the price.

2 Calculate the percentage increase.

a

bc

Original price Final price

£850 £901

£14 600 £14 892

£66.50 £73.15

3 The population of a village went down from 880 to 836. Calculate the percentage

decrease in the population.

4 After his last film a successful actor’s fee went up from £2 million to £3.25 million.

What was the percentage increase in his fee?

5 Steve bought a car at an auction for £1600 and two weeks later sold it for £1824.

Calculate his percentage profit.

6 Given that M = ab, find the percentage increase in M when both a and b are

increased by 8%.

Reverse percentages 17b

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

After an increase of 8%, the price of a boat is £7560.

What was the price before the increase?

108% of old price = £7560

1% of old price = £(7560 4 108)

100% of old price = 7560108

· 100 = £7000

70 Reverse percentages 17b

Sample booklet page 4

Sample page from Oxford GCSE Maths for OCR Higher Practice Book

K37162_A5_12pp_blad_0210.indd 7 4/2/10 16:46:23

a Copy and complete

the scatter graph to

show the data.

b Describe the

correlation in the

scatter graph.

4020 30 40 50 60 70 80 90

50

60

70

80

90

100

Pulse rate

Weight (kg)

2 The table shows the heights and weights of eight students.

Weight (kg) 35 65 71 45 50 30 83 75

Height (cm) 150 170 178 160 167 155 180 177

a Draw a scatter graph to show the

data in the table.

b Describe the correlation.

c Draw a line of best fit.

d Another student is 166 cm tall.

Use your line of best fit to estimate

that student’s likely weight.

Height

Weight

3 Describe the correlation in each diagram.

a b c

71 13 Bivariate data and time series

1 After an increase of 5%, the price of a printer is £472.50.

What was the price before the increase?

2 After a 7% pay rise, the salary of Mrs Everett was £24 075. What was her salary

before the pay rise?

3 After a decrease of 10% the price of a telephone is £58.50. Copy and complete

90% of old price = £58.50

1% of old price = £

100% of old price = £

4 During one year the value of Mr Pert’s house went down by 6%. Its value was

then £60 160. What was its value before the decrease?

5 Copy the table and find the missing prices.

a

bc

Item Old price New price Percentage change

i-Pod £180.50 5% decrease

Computer £391.60 11% decrease

House £103 090 22% increase

6 The manager of a football team works for 310 days per year. Of this he

spends 42 days looking at new players he might buy. What percentage of

his working days is this?

Exponential growth and decay 17c

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

£8000 is invested at 3% compound interest.

After 1 year, amount = 8000 · 1.03 = £8240

After 2 years, amount = 8000 · 1.03 · 1.03 = £8487.20

After n years, amount = 8000 · 1.03n

17 Percentages and proportional change 71

1 After an increase of 5%, the price of a printer is £472.50.

What was the price before the increase?

2 After a 7% pay rise, the salary of Mrs Everett was £24 075. What was her salary

before the pay rise?

3 After a decrease of 10% the price of a telephone is £58.50. Copy and complete

90% of old price = £58.50

1% of old price = £

100% of old price = £

4 During one year the value of Mr Pert’s house went down by 6%. Its value was

then £60 160. What was its value before the decrease?

5 Copy the table and find the missing prices.

a

bc

Item Old price New price Percentage change

i-Pod £180.50 5% decrease

Computer £391.60 11% decrease

House £103 090 22% increase

6 The manager of a football team works for 310 days per year. Of this he

spends 42 days looking at new players he might buy. What percentage of

his working days is this?

Exponential growth and decay 17c

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

£8000 is invested at 3% compound interest.

After 1 year, amount = 8000 · 1.03 = £8240

After 2 years, amount = 8000 · 1.03 · 1.03 = £8487.20

After n years, amount = 8000 · 1.03n

17 Percentages and proportional change 71

1 A bank pays 5% compound interest per annum. Mrs Cameron puts

£5000 in the bank. How much has she after

a one year

b two years?

2 Nadia invested £3000 for 3 years at 4% per annum compound interest.

How much money did she have at the end of three years?

3 Tom put £3000 in a savings account offering 6% per year compound

interest. How much did he have in the account after 3 years?

4 Sasha saved £4000 at 4% simple interest per year. Sylvie saved £4000 at 3.5%

compound interest per year. Calculate how much each woman had

in her savings account after 5 years.

5 A tennis club has 250 members. The number of members

increases by 20% each year. Calculate the number of members

after 3 years.

6 A tree increases in height by 12% per year. It is 20 cm tall when it is

one year old.

After how many years will the tree be 5 metres tall?

Direct proportion 17d

1 y is proportional to z so that y = kz, where k is a constant.

Given that y = 35 when z = 7, find

a the value of y when z = 10

b the value of y when z = 3.

2 A is directly proportional to d2. If A = 12 when d = 2, find

a the value of A when d = 1

b the value of A when d = 4.

72 Direct proportion 17d

Sample booklet page 5

Sample page from Oxford GCSE Maths for OCR Higher Practice Book

K37162_A5_12pp_blad_0210.indd 8 4/2/10 16:46:24

Correlation 13b

1 Look at these diagrams.

A B C

D E F

Which diagrams show

a no correlation b positive correlation c negative correlation?

Line of best fit 13c

1 The table shows pulse rates and weights of an under 16s football team.

Weight (kg) 30 35 40 55 85 75 60 65 85 82 62

Pulse (beats/min) 55 80 91 80 52 60 51 70 51 94 89

Line of best fit 13c 70

1 After an increase of 5%, the price of a printer is £472.50.

What was the price before the increase?

2 After a 7% pay rise, the salary of Mrs Everett was £24 075. What was her salary

before the pay rise?

3 After a decrease of 10% the price of a telephone is £58.50. Copy and complete

90% of old price = £58.50

1% of old price = £

100% of old price = £

4 During one year the value of Mr Pert’s house went down by 6%. Its value was

then £60 160. What was its value before the decrease?

5 Copy the table and find the missing prices.

a

bc

Item Old price New price Percentage change

i-Pod £180.50 5% decrease

Computer £391.60 11% decrease

House £103 090 22% increase

6 The manager of a football team works for 310 days per year. Of this he

spends 42 days looking at new players he might buy. What percentage of

his working days is this?

Exponential growth and decay 17c

EXP M+ M- MR

+4 5 67 8 9C +

__ X

=1 2 3

0

£8000 is invested at 3% compound interest.

After 1 year, amount = 8000 · 1.03 = £8240

After 2 years, amount = 8000 · 1.03 · 1.03 = £8487.20

After n years, amount = 8000 · 1.03n

17 Percentages and proportional change 71

1 A bank pays 5% compound interest per annum. Mrs Cameron puts

£5000 in the bank. How much has she after

a one year

b two years?

2 Nadia invested £3000 for 3 years at 4% per annum compound interest.

How much money did she have at the end of three years?

3 Tom put £3000 in a savings account offering 6% per year compound

interest. How much did he have in the account after 3 years?

4 Sasha saved £4000 at 4% simple interest per year. Sylvie saved £4000 at 3.5%

compound interest per year. Calculate how much each woman had

in her savings account after 5 years.

5 A tennis club has 250 members. The number of members

increases by 20% each year. Calculate the number of members

after 3 years.

6 A tree increases in height by 12% per year. It is 20 cm tall when it is

one year old.

After how many years will the tree be 5 metres tall?

Direct proportion 17d

1 y is proportional to z so that y = kz, where k is a constant.

Given that y = 35 when z = 7, find

a the value of y when z = 10

b the value of y when z = 3.

2 A is directly proportional to d2. If A = 12 when d = 2, find

a the value of A when d = 1

b the value of A when d = 4.

72 Direct proportion 17d

1 A bank pays 5% compound interest per annum. Mrs Cameron puts

£5000 in the bank. How much has she after

a one year

b two years?

2 Nadia invested £3000 for 3 years at 4% per annum compound interest.

How much money did she have at the end of three years?

3 Tom put £3000 in a savings account offering 6% per year compound

interest. How much did he have in the account after 3 years?

4 Sasha saved £4000 at 4% simple interest per year. Sylvie saved £4000 at 3.5%

compound interest per year. Calculate how much each woman had

in her savings account after 5 years.

5 A tennis club has 250 members. The number of members

increases by 20% each year. Calculate the number of members

after 3 years.

6 A tree increases in height by 12% per year. It is 20 cm tall when it is

one year old.

After how many years will the tree be 5 metres tall?

Direct proportion 17d

1 y is proportional to z so that y = kz, where k is a constant.

Given that y = 35 when z = 7, find

a the value of y when z = 10

b the value of y when z = 3.

2 A is directly proportional to d2. If A = 12 when d = 2, find

a the value of A when d = 1

b the value of A when d = 4.

72 Direct proportion 17d

1 A bank pays 5% compound interest per annum. Mrs Cameron puts

£5000 in the bank. How much has she after

a one year

b two years?

2 Nadia invested £3000 for 3 years at 4% per annum compound interest.

How much money did she have at the end of three years?

3 Tom put £3000 in a savings account offering 6% per year compound

interest. How much did he have in the account after 3 years?

4 Sasha saved £4000 at 4% simple interest per year. Sylvie saved £4000 at 3.5%

compound interest per year. Calculate how much each woman had

in her savings account after 5 years.

5 A tennis club has 250 members. The number of members

increases by 20% each year. Calculate the number of members

after 3 years.

6 A tree increases in height by 12% per year. It is 20 cm tall when it is

one year old.

After how many years will the tree be 5 metres tall?

Direct proportion 17d

1 y is proportional to z so that y = kz, where k is a constant.

Given that y = 35 when z = 7, find

a the value of y when z = 10

b the value of y when z = 3.

2 A is directly proportional to d2. If A = 12 when d = 2, find

a the value of A when d = 1

b the value of A when d = 4.

72 Direct proportion 17d

Sample booklet page 6

Sample page from Oxford GCSE Maths for OCR Higher Practice Book

K37162_A5_12pp_blad_0210.indd 9 4/2/10 16:46:25

a Copy and complete

the scatter graph to

show the data.

b Describe the

correlation in the

scatter graph.

4020 30 40 50 60 70 80 90

50

60

70

80

90

100

Pulse rate

Weight (kg)

2 The table shows the heights and weights of eight students.

Weight (kg) 35 65 71 45 50 30 83 75

Height (cm) 150 170 178 160 167 155 180 177

a Draw a scatter graph to show the

data in the table.

b Describe the correlation.

c Draw a line of best fit.

d Another student is 166 cm tall.

Use your line of best fit to estimate

that student’s likely weight.

Height

Weight

3 Describe the correlation in each diagram.

a b c

71 13 Bivariate data and time series

3 Given that y } x, copy and complete the

table.x 2 3 22

y 8 40

4 Given that P } u2, copy and complete

the table.u 1 2 1

2

P 4 64

5 The cost, C, of a carpet is proportional to its area, A.

a Write a relationship between C and A and a constant k.

A carpet of area 12 m2 costs £240.

b How much is a carpet of area 19 m2?

c What is the area of a carpet which costs £500?

Inverse proportion 17e

1 C is inversely proportional to p.

a Write a relationship between C and p and a constant k.

b Given that C = 2 when p = 12, find the value of C when p = 3.

2 T is inversely proportional to z. If T = 18 when z = 2, find

a the value of T when z = 4

b the value of z when T = 3.6.

3 Given that y = kx, find the value of k and

then copy and complete the table.x 2 5 20

y 40 10

4 Given that s } 1v2, copy and complete

the table.v 3 4

s 12 3 432

5 The electrical resistance, R, in a wire is inversely proportional to the

square of the diameter, d. The resistance is 0.36 ohms when the diameter

is 10 mm. Find the resistance when the diameter is 3 mm.

17 Percentages and proportional change 73

3 Given that y } x, copy and complete the

table.x 2 3 22

y 8 40

4 Given that P } u2, copy and complete

the table.u 1 2 1

2

P 4 64

5 The cost, C, of a carpet is proportional to its area, A.

a Write a relationship between C and A and a constant k.

A carpet of area 12 m2 costs £240.

b How much is a carpet of area 19 m2?

c What is the area of a carpet which costs £500?

Inverse proportion 17e

1 C is inversely proportional to p.

a Write a relationship between C and p and a constant k.

b Given that C = 2 when p = 12, find the value of C when p = 3.

2 T is inversely proportional to z. If T = 18 when z = 2, find

a the value of T when z = 4

b the value of z when T = 3.6.

3 Given that y = kx, find the value of k and

then copy and complete the table.x 2 5 20

y 40 10

4 Given that s } 1v2, copy and complete

the table.v 3 4

s 12 3 432

5 The electrical resistance, R, in a wire is inversely proportional to the

square of the diameter, d. The resistance is 0.36 ohms when the diameter

is 10 mm. Find the resistance when the diameter is 3 mm.

17 Percentages and proportional change 73

3 Given that y } x, copy and complete the

table.x 2 3 22

y 8 40

4 Given that P } u2, copy and complete

the table.u 1 2 1

2

P 4 64

5 The cost, C, of a carpet is proportional to its area, A.

a Write a relationship between C and A and a constant k.

A carpet of area 12 m2 costs £240.

b How much is a carpet of area 19 m2?

c What is the area of a carpet which costs £500?

Inverse proportion 17e

1 C is inversely proportional to p.

a Write a relationship between C and p and a constant k.

b Given that C = 2 when p = 12, find the value of C when p = 3.

2 T is inversely proportional to z. If T = 18 when z = 2, find

a the value of T when z = 4

b the value of z when T = 3.6.

3 Given that y = kx, find the value of k and

then copy and complete the table.x 2 5 20

y 40 10

4 Given that s } 1v2, copy and complete

the table.v 3 4

s 12 3 432

5 The electrical resistance, R, in a wire is inversely proportional to the

square of the diameter, d. The resistance is 0.36 ohms when the diameter

is 10 mm. Find the resistance when the diameter is 3 mm.

17 Percentages and proportional change 73

Sample booklet page 7

Sample page from Oxford GCSE Maths for OCR Higher Practice Book

K37162_A5_12pp_blad_0210.indd 10 4/2/10 16:46:27

3 Given that y } x, copy and complete the

table.x 2 3 22

y 8 40

4 Given that P } u2, copy and complete

the table.u 1 2 1

2

P 4 64

5 The cost, C, of a carpet is proportional to its area, A.

a Write a relationship between C and A and a constant k.

A carpet of area 12 m2 costs £240.

b How much is a carpet of area 19 m2?

c What is the area of a carpet which costs £500?

Inverse proportion 17e

1 C is inversely proportional to p.

a Write a relationship between C and p and a constant k.

b Given that C = 2 when p = 12, find the value of C when p = 3.

2 T is inversely proportional to z. If T = 18 when z = 2, find

a the value of T when z = 4

b the value of z when T = 3.6.

3 Given that y = kx, find the value of k and

then copy and complete the table.x 2 5 20

y 40 10

4 Given that s } 1v2, copy and complete

the table.v 3 4

s 12 3 432

5 The electrical resistance, R, in a wire is inversely proportional to the

square of the diameter, d. The resistance is 0.36 ohms when the diameter

is 10 mm. Find the resistance when the diameter is 3 mm.

17 Percentages and proportional change 73

K37162_A5_12pp_blad_0210.indd 11 4/2/10 16:46:27

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Title ISBN Price Evaluate (3)

Foundation Practice Book 978 019 913930 9 £6.50

Higher Practice Book 978 019 913931 6 £6.50

Foundation Teacher Guide 978 019 912728 3 £75.00

Higher Teacher Guide 978 019 912729 0 £75.00

Interactive OxBox CD-ROM 978 019 913932 3 £400.00 + VAT

Assessment OxBox CD-ROM 978 019 912730 6 £300.00 + VAT

Evaluate both of the Oxford GCSE Maths for OCR Practice Books

3 The two Oxford GCSE Maths for OCR Practice Books match the two Student Books, Foundation and Higher.

3 There is also a huge amount of extra practice material in the Oxford GCSE Maths for OCR OxBox CD-ROMs, order your evaluation copies now.

3 In official partnership with OCR we offer a highly achievable route to success with OCR’s flexible new Specification A that can be taught in a linear or modular way.

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