Percentage change
percentage increase/decrease
reverse percentage
compound interest
simple interest
100

In    January,    a    puppy    weighed    4kg.               Three    months    later,    the    same    puppy    weighed    5kg. What    was    the    percentage    increase    in    the    puppy’s    weight?

25%

100

Increase    80ml    by    9%

87.2

100

20%    of    all    the    children    in    a    class    are    left    handed.               4    children    are    left    handed.               How    many    children    are    there    in    the    class    altogether?    

20

100

Paul    leaves    £4000    in    the    bank    for    two    years.     It    earns    compound    interest    of    5%    per    year.         Calculate    the    total    amount    Paul    has    in    the    bank    at    the    end    of    the    two    years.    

£4410

100

James invests £200 for 1 year in a bank account. The account pays simple interest at a rate of 3% per year. Work out the total amount of money in the account at the end of the year.

£206

200

     In    a    sale    the    price    of    a    sofa    is    reduced    from    £2500    to    £2290               What    is    the    percentage    decrease?    

8.4%

200

Last    year,    there    were    20    students    in    a    class.     This    year,    there    are    30%    more    students.     How    many    students    are    in    the    class    this    year?    

26

200

Swansea    is    a    city    in    Wales.               The    population    of    Swansea    is    240,000               This    population    is    7.5%    of    the    total    population    of    Wales.               What    is    the    total    population    of    Wales?    

3,200,000

200

A    full    water    tank    holds    500    litres.     The    tank    begins    to    leak    water    and    is    losing    14%    of    its    contents    every    hour.     Find    how    much    water    is    left    in    the    tank    after    8    hours.    

149.609 litres

200

Faith invests £800 for 3 years in a bank account. The account pays simple interest at a rate of 0.4% per year Work out the total amount of interest Faith has got at the end of the 3 years

£9.60

300

The    population    of    Bristol    in    1921    was    367,831. In    2017,    the    population    was    459,300. Calculate    the    percentage    increase.       Give    your    answer    correct    to    one    decimal    place.    

24.87

300

Iris    spends    £40    a    month    on    water.     By    changing    company,    Iris    can    save    16%.     How    much    would    Iris    pay    each    month?    

£33.60

300

Sinead    buys    a    watch.               20%    VAT    is    added    to    the    price    of    the    watch.               Sinead    then    has    to    pay    a    total    of    £60               What    is    the    price    of    the    watch    with    no    VAT    added?    

£50

300

The    number    of    people    living    on    a    remote    island    decreases    by    9%    every    10    years.           In    1950    there    were    18000    living    on    the    island.               Calculate    how    many    less    people    will    be    living    on    the    island    in    2020.    

8698

300

Jonah invests £400 in a bank account that pays 3.5% simple interest per year. At the end of each year Jonah spends of the interest and gives the rest to his brother. How much money does Jonah give to his brother each year?

£5.60

400

An    empty    bucket    weighs    800g.               The    weight    of    the    bucket    increases    to    3.3kg    when    Qilled    with    water.               Calculate    the    percentage    increase    in    the    weight    of    the    bucket.    

312.5%

400

An    empty    [lowerpot    has    a    mass    of    800g.     The    mass    of    the    [lowerpot    increases    to    4kg    when    [illed    with    soil.               A    different    [lowerpot    is    25%    lighter    but    holds    40%    more    soil.               Calculate    the    mass    of    this    flowerpot    when    it    is    full    of    soil.    

5.08kg

400

Miss    Jenkins    buys    a    car    costing    £11895               This    cost    includes    VAT    at    a    rate    of    20%               How    much    is    the    VAT?      

£1982.50

400

A    Nish    tank,    that    is    full    of    water,    has    sprung    a    leak.               12%    of    the    water    is    lost    every    hour.               What    percentage    of    the    water    is    lost    after    three    hours?    

31.85%

400

Percy invests £2000 for 4 years in a savings account that pays simple interest. At the end of the 4 years, Percy has £2140 in the account. Work out the annual rate of simple interest.

1.75%

500

ABCD    is    a    rectangle    with    length    40cm    and    width    10cm. The    length    of    the    rectangle    is    decreased    by    40%.  The    width    of    the    rectangle    is    decreased    by    20%        Find    the    percentage    decrease    in    the    area    of    the    rectangle

52%

500

An    adult    ticket    for    the    cinema    costs    £13.40 A    child    ticket    is    half    the    price    of    an    adult    ticket. Mr and Mrs    Henderson    and    their    six    children    go    to    see    a    movie. Mrs    Henderson    has    a    voucher    for    18%    off.  Work    out    how    much    Mrs    Henderson  pays    for    the    tickets.    

£54.94

500

There    are    1500    people    at    an    ice    hockey    match.               The    announcer    says    that    this    is    exactly    30%    more    people    than    the    previous                       match.               Explain    why    the    announcer    is    wrong.    

That    would    mean    at    the    previous    match    there    were    1153.846…    people,    which    is     not    possible.    

500

The    population    of    a    country    is    increasing    by    5%    a    year.               How    many    years    will    it    take    the    population    of    the    country    to    double?    

15 years

500

Nicole invested some money for 3 years into an account that pays 2% per year simple interest. She earned £7.20 interest in total. How much money did Nicole originally invest?

£120

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