mathematics (linear) 1ma0 proportion...question 4: a plumber charges £140 for a 4 hour job. how...

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Edexcel GCSE Mathematics (Linear) 1MA0 PROPORTION Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided there may be more space than you need. Calculators may be used. Information The marks for each question are shown in brackets use this as a guide as to how much time to spend on each question. Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression. Advice Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.

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Page 1: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

Edexcel GCSE Mathematics (Linear) – 1MA0

PROPORTION Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses,

pen, HB pencil, eraser.

Tracing paper may be used.

Instructions

Use black ink or ball-point pen.

Fill in the boxes at the top of this page with your name, centre number and candidate number.

Answer all questions.

Answer the questions in the spaces provided – there may be more space than you need.

Calculators may be used.

Information

The marks for each question are shown in brackets – use this as a guide as to how much time to

spend on each question.

Questions labelled with an asterisk (*) are ones where the quality of your written communication

will be assessed – you should take particular care on these questions with your spelling, punctuation

and grammar, as well as the clarity of expression.

Advice

Read each question carefully before you start to answer it.

Keep an eye on the time.

Try to answer every question.

Check your answers if you have time at the end.

Page 2: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

(2 marks)

1. Here is a list of ingredients for making 10 Flapjacks.

Work out the amount of each ingredient needed to make 15 Flapjacks.

..................... g rolled oats

..................... g butter

..................... ml golden syrup

..................... g light brown sugar

(Total 3 marks)

2. Here are the ingredients needed to make 12 shortcakes.

Liz makes some shortcakes.

She uses 25 ml of milk.

(a) How many shortcakes does Liz make?

..............................................

(2)

Robert has 500 g of sugar

1000 g of butter

1000 g of flour

500 ml of milk

(b) Work out the greatest number of shortcakes Robert can make.

Ingredients for 10 Flapjacks

80 g rolled oats

60 g butter

30 ml golden syrup

36 g light brown sugar

Shortcakes

Makes 12 shortcakes

50 g of sugar

200 g of butter

200 g of flour

10 ml of milk

Page 3: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

6. This is a list of ingredients for making a pear & almond crumble for 4 people.

Ingredients for 4 people:

80 g plain flour

60 g ground almonds

90 g soft brown sugar

60 g butter

4 ripe pears

Jessica wants to make a pear & almond crumble for 10 people.

Here is a list of the amount of each ingredient Jessica has in her cupboard.

250 g plain flour

100 g ground almonds

200g soft brown sugar

150 g butter

8 ripe pears

Work out which ingredients Jessica needs to buy more of.

You must show all of your working.

*7. 225 grams of flour are needed to make 9 cakes.

Marian wants to make 20 of these cakes.

She has 475 grams of flour.

Does Marian have enough flour to make 20 cakes?

You must show all your working.

Page 4: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29
Page 5: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29
Page 6: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29
Page 7: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29
Page 8: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29
Page 9: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29
Page 10: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29
Page 11: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29
Page 12: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

Unitary Method Video 255a on Corbettmaths

Click here

Question 1: Keith buys 6 pencils for 90p

(a) How much does one pencil cost?

(b) How much would Five pencils cost? (c) How much would eleven pencils cost?

Question 2: Jack and Harry are waiters in a restaurant. They are both paid the same amount of money for each hour that they work.

Jack worked 6 hours and is paid £48 Harry worked 8 hours. How much money is Harry paid?

Question 3: A car travels 120 miles in 3 hours at a steady speed.

(a) How far does the car travel in 1 hour?

(b) How far does the car travel in 8 hours?

Question 4: A plumber charges £140 for a 4 hour job.

How much does the plumber charge for a 3 hour job?

Question 5: Seven candles cost £45.29

How much would 25 candles cost?

Question 6: £50 is worth €56

(a) How many euros is £1 worth? (b) How many euros is £220 worth?

Question 7: If 24 marbles have a mass of 60g, what would the mass of 60 marbles be?

Examples

Workout

Page 13: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

UnitaryMethod

Workout

Question1:(a)15p (b)75p (c)£1.65

Question2:£64

Question3:(a)40miles (b)320miles

Question4:£105

Question5:£161.75

Question6:(a)€1.12 (b)€246.40

Question7:150g

Question8:

0.8kgmince280gtomatoes2chillies400kidneybeans

Question9:

600gcod480ghaddock720mlmilk144gbutter48gFlour1.2kgpotatoes

Apply

Question1:2.5cm

Question2:45.5cm

Question3:720miles

Question4:The250mlisbettervalueformoney.

345mlcosts1.39pperml250mlcosts1.34pperml

Page 14: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

GCSE (1 – 9)

Exchange Rates

Name: ___________________________

Instructions

• Use black ink or ball-point pen.• Answer all Questions.• Answer the Questions in the spaces provided– there may be more space than you need.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.

Information

• The marks for each Question are shown in brackets– use this as a guide as to how much time to spend on each Question.

Advice

• Read each Question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every Question.• Check your answers if you have time at the end

mathsgenie.co.uk

Page 15: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

1 Beth goes on holiday to Spain.The exchange rate is £1 = €1.13

She changes £350 into Euros (€).

(a) Work out how many Euros she receives.

When Beth returns from holiday she changes €120 back into pounds. The exchange rate is now £1 = €1.16

(b) Work out how many pounds (£) Beth receives. Give your answer to the nearest penny.

(Total for question 1 is 4 marks)

€….................………….......

£….................………….......

2 Ben went on holiday to Australia. He changed £350 into Australian dollars ($). The exchange rate was £1 = $2.1

(a) Work out how many Australian dollars Ben should have received.

When Ben returned he changed $100 back into pounds. The new exchange rate was £1 = $2.2

(b) Work out how many pounds Ben should have received. Give your answer to the nearest penny.

(Total for question 2 is 4 marks)

$….................………….......

£….................………….......

Page 16: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

3 Nicole is on holiday in France. She spends €14.50 in a cafe.

The exchange rate is £1 = €1.15 Calculate how much Nicole spends in pounds (£).

(Total for question 3 is 2 marks)

£….................………….......

4 Amy is on holiday in Turkey She changes £200 to Turkish lira.

The exchange rate is £1 = 7.7 Turkish lira Calculate how many Turkish lira Amy receives

(Total for question 4 is 2 marks)

£….................………….......

5 Mario is on holiday in Japan

He stays in a hotel for 7 nights. The hotel costs ¥10000 for each night.

The exchange rate is £1 = ¥140 Calculate how much Mario spends on the hotel in pounds.

(Total for question 5 is 2 marks)

£….................………….......

Page 17: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

6 Brian bought a hat in France. He paid €45. The same hat in England costs £39.99.

The exchange rate is £1 = €1.12 Is the hat cheaper in France or in England? You must show your working.

(Total for question 6 is 3 marks)

7 A pair of trainers cost 3400 rupees in India. The same pair of trainers cost £68 in the UK.

The exchange rate is £1 = 92 rupees.

Work out the difference between the cost of the trainers in India and in the UK.Give your answer in pounds (£).

(Total for question 7 is 3 marks)

£….................………….......

Page 18: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

(Total for question 9 is 3 marks)

9 The exchange rate in London is £1 = $1.31

The exchange rate in New York is $1 = £0.79

Bernie wants to change some pounds into dollars.

In which of these cities would Bernie get the most dollars? You must show your working.

8 Carla is on holiday in Italy. She spends €35 in a restaurant.

The exchange rate is €1 = £0.89 Calculate how much Carla spends in pounds (£).

(Total for question 8 is 2 marks)

£….................………….......

Page 19: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

10 George is going on a trip to Vietnam.

He wants to change £750 into Vietnamese dong.George wants to get as many 200 000 dong notes as possible.

The exchange rate is £1 = 29 000 dong.Work out the greatest number of 200 000 dong notes that George can get for £750

(Total for question 10 is 3 marks)

….................………….......

11 In Australia a car costs $26 500In Ireland the same car costs €17 500

The exchange rates are £1 = $1.96 and £1 = €1.14

Work out the difference in price between the car in Australia and Ireland. Give your answer in pounds (£).

(Total for question 11 is 4 marks)

£….................………….......

Page 20: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

(Total for question 13 is 3 marks)

13 The exchange rate in London is £1 = €1.15

The exchange rate in Berlin is €1 = £0.88

Angela wants to change some pounds into euros.

In which of these cities would Angela get the most euros?You must show your working.

12 In London potatoes cost £0.45 per lb. In Dublin potatoes cost €1.48 per kilogram.

1 kg = 2.2 lbs£1 = €1.15

In which city are potatoes better value for money, London or Dublin?You must show your working.

(Total for question 12 is 3 marks)

Page 21: Mathematics (Linear) 1MA0 PROPORTION...Question 4: A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job? Question 5: Seven candles cost £45.29

14 Frank is travelling from the USA to Germany.

Frank wants to book flights which cost $710 and a hotel which costs €45 per night for 12 nights.

The exchange rates are as follows:£1 = €1.14

$1 = €0.85

Frank can spend no more than £1000 Work out if Frank is able to book the flights and the hotel.

(Total for question 19 is 4 marks)

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