Practice Books Final book will contain a FREE CD-ROM Advance Material Contains 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
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Oxford GCSE Maths for OCR sample Practice Book material
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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
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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