1 hour 45 minutes 1MA0 / 2MB01 - Caedmon College · 10 *8. A factory makes yoghurt in a tank. Here are the weights of the ingredients needed to make a tank full of yoghurt. Milk 80

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 must not be used.

Information

There are 26 questions on this paper; the total mark is 104

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

All questions labelled with an asterisk (*) and are ones where the quality of your written communication will be assessed.

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.

Practice Papers Set G Foundation Tier – QWC

1MA0 / 2MB01 1 hour 45 minutes

2

GCSE Mathematics (Linear) 1MA0

Formulae: Foundation Tier

You must not write on this formulae page.

Anything you write on this formulae page will gain NO credit.

Area of trapezium = 21 (a + b)h

Volume of prism = area of cross section × length

3

Answer ALL TWENTY SIX questions.

Write your answers in the spaces provided.

You must write down all stages in your working.

*1. Jim’s pay is £180 each week.

Jim asks his boss for an increase of £20 a week.

Jim’s boss offers him a 10% increase.

Is the offer from Jim’s boss more than Jim asked for?

You must show your working.

(Total for Question 1 is 3 marks)

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4

*2. The table shows some information about the amounts of time, in minutes, that Dave and Nick

spent using their mobile phones on four days last week.

Time (minutes)

Dave Nick

Thursday 7 6

Friday 6 11

Saturday 17 12

Sunday 28 35

Nick spent less than 10 minutes using his mobile phone on one of those four days.

(a) Which day?

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

(1)

On Sunday Nick spent more time using his mobile than Dave.

(b) How much more time?

.......................................... minutes

(1)

*(c) Work out who spent the greater total amount of time using his mobile phone.

You must show all your working.

(3)


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5

*3. Lev counts the number of bicycles and the number of motorbikes he sees on each of five

mornings.

The table shows his results.

Monday Tuesday Wednesday Thursday Friday

Bicycles 10 12 12 13 8

Motorbikes 5 4 7 2 6

Lev wants to compare this information.

On the grid, draw a suitable chart or diagram.


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6

*4. Here is the number of goals scored by a football team in each of its first 10 games.

3 1 4 2 0 1 1 1 3 2

(a) Work out the mean number of goals for the first 10 games.

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

(2)

In the 11th game the team scored 4 goals.

In the 12th game the team scored 2 goals.

(b) Will the mean number of goals for the 12 games be greater than or less than

the mean number of goals for the first 10 games?

You must explain your answer.

(2)


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7

*5. Kitty and George sell cars.

The table shows the numbers of cars sold by Kitty and by George in the first four

months of 2013.

January February March April

Kitty 2 5 13 10

George 4 7 9 10

Show this information in a suitable diagram.


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8

*6. The table gives information about the costs of posting parcels.

Maximum weight of a parcel Cost

2 kg £4.41

4 kg £7.06

6 kg £9.58

8 kg £11.74

10 kg £12.61

20 kg £14.69

Umar has to post some parcels.

He has to post

3 parcels with a weight of 6 kg each

1 parcel with a weight of 10 kg

1 parcel with a weight of 3 kg

1 parcel with a weight of 1.2 kg

Umar has £55 to spend on posting the parcels.

Can he post all the parcels?


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9

*7. Here is a diagram of a wall.

Halima wants to cover all of the wall with tiles.

The tiles are squares with sides of length 20 cm.

The tiles are sold in packs.

There are 10 tiles in each pack.

Each pack of tiles costs £34.99

Halima only has £1000

Can she buy enough packs of tiles to cover the wall?


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10

*8. A factory makes yoghurt in a tank.

Here are the weights of the ingredients needed to make a tank full of yoghurt.

Milk 80 kg

Skimmed milk powder 2 kg

Sugar 3 kg

Stabiliser 1 kg

Fruit 10 kg

The yoghurt from the tank is put into pots.

Each 1 kg of the yoghurt is used to fill 8 pots.

Is there enough yoghurt in the tank to fill 750 pots?



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11

*9. Angela and Michelle both work as waitresses at the same restaurant.

This formula is used to work out the total amount of money each waitress gets.

Total amount = £6.50 × number of hours worked + tips

The table shows the number of hours Angela and Michelle each worked last Saturday.

It also shows the tips they got.

Number of

hours worked Tips

Angela 8 £12

Michelle 7 £15

Who got the higher total amount of money last Saturday?

You must show clearly how you got your answer.


___________________________________________________________________________

12

*10. Brian makes egg cups.

He makes 12 egg cups per hour.

Brian makes egg cups for 4 1

2 hours each day, on 5 days of the week.

The egg cups are packed in boxes.

8 egg cups are packed into each box.

How many boxes are needed for all the egg cups Brian makes in 5 days?


___________________________________________________________________________

13

*11.

ABC is a straight line.

Angle BCD = 38°

The reflex angle BCD = 250°

Work out the size of the angle marked x.

Give reasons for your answer.


___________________________________________________________________________

14

*12. Ashley wants to buy some tins of paint.

He finds out the costs of paint at two shops.

Ashley needs 9 tins of paint.

Ashley wants to get all the tins of paint from the same shop.

He wants to pay the cheapest possible total price.

Which of the two shops should Ashley buy the paint from?


___________________________________________________________________________

15

*13. Here is a conversion graph to change between UK pounds (£) and South African rand.

Simon has £100 and 3700 rand.

He goes to a shop where he can spend both pounds and rand.

He wants to buy

a computer costing £360.

or

a watch costing £400

or

16

a camera costing £375

Which of these items can Simon afford to buy?

You must show clearly how you get your answer.


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17

*14. Plants are sold in three different sizes of tray.

A small tray of 30 plants costs £6.50.

A medium tray of 40 plants costs £8.95.

A large tray of 50 plants costs £10.99.

Kaz wants to buy the tray of plants that is the best value for money.

Which size tray of plants should she buy?



___________________________________________________________________________

18

*15.

DAC, FCB and ABE are straight lines.

Work out the size of the angle marked x.

You must give reasons for your answer.


___________________________________________________________________________

19

*16. Here are two fractions.

2

3

7

8

Which of these fractions has a value closer to 3

4?

You must show clearly how you get your answer.


___________________________________________________________________________

20

*17. Here is a list of ingredients for making 18 mince pies.

Ingredients for 18 mince pies

225 g of butter

350 g of flour

100 g of sugar

280 g of mincemeat

1 egg

Elaine wants to make 45 mince pies.

Elaine has

1 kg of butter

1 kg of flour

500 g of sugar

600 g of mincemeat

6 eggs

Does Elaine have enough of each ingredient to make 45 mince pies?

You must show clearly how you got your answer.


___________________________________________________________________________

21

*18. Potatoes cost £9 for a 12.5 kg bag at a farm shop.

The same type of potatoes cost £1.83 for a 2.5 kg bag at a supermarket.

Where are the potatoes the better value, at the farm shop or at the supermarket?



___________________________________________________________________________

22

19*. Peter goes for a walk.

He walks 15 miles in 6 hours.

5 miles = 8 km.

Sunita says that Peter walked more than 20 km.

Is Sunita right?



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23

*20.

ABCD is a parallelogram.

Angle ADB = 38.

Angle BEC = 41.

Angle DAB = 120.

Calculate the size of angle x.

You must give reasons for your answer.


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24

*21. Miss Phillips needs to decide when to have the school sports day.

The table shows the number of students who will be at the sports day on each of 4 days.

It also shows the number of teachers who can help on each of the 4 days.

Tuesday Wednesday Thursday Friday

Number of students 179 162 170 143

Number of teachers 15 13 14 12

For every 12 students at the sports day there must be at least 1 teacher to help.

On which of these days will there be enough teachers to help at the sports day?



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25

*22. The table gives some information about student attendance at a school on Friday.

Number of students

Year Present Absent Total

Year 7 192 16 208

Year 8 219 22 241

Year 9 234 28 262

Year 10 233 28 261

Year 11 214 24 238

The school has a target of 94% of students being present each day.

Did the school meet its target on Friday?


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26

*23. Saphia is organising a conference.

People at the conference will sit at circular tables.

Each table has a diameter of 140 cm.

Each person needs around 60 cm around the circumference of the table.

There are 12 of these tables in the conference room.

A total of 90 people will be at the conference.

Are there enough tables in the conference room?


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27

*24. Mr Weaver’s garden is in the shape of a rectangle.

In the garden

there is a patio in the shape of a rectangle

and two ponds in the shape of circles with diameter 3.8 m.

The rest of the garden is grass.

Mr Weaver is going to spread fertiliser over all the grass.

One box of fertiliser will cover 25 m2 of grass.

How many boxes of fertiliser does Mr Weaver need?



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28

*25. Henry is thinking about having a water meter.

These are the two ways he can pay for the water he uses.

Henry uses an average of 180 litres of water each day.

Henry wants to pay as little as possible for the water he uses.

Should Henry have a water meter?


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29

*26. Axel and Lethna are driving along a motorway.

They see a road sign.

The road sign shows the distance to Junction 8

It also shows the average time drivers will take to get to Junction 8

To Junction 8

30 miles

26 minutes

The speed limit on the motorway is 70 mph.

Lethna says,

‘We will have to drive faster than the speed limit to go 30 miles in 26 minutes.’

Is Lethna right?

You must show how you got your answer.


TOTAL FOR PAPER IS 104 MARKS

30

BLANK PAGE

1MA0 2F – Practice Paper (Set G) QWC

Question Working Answer Mark Notes *1 10

180 18100

or

20100 11.1

180

No 3 M1 for

10180

100 oe or 180 × 1.1 oe

or 100180

20

oe

A1 for (£)18 or (£)198 or 11%

C1 (dep M1) for comparison of increases or total pay or percentage

increases leading to a correct deduction

*2 (a) Thursday 1 B1 cao

(b) 7 1 B1 cao

*(c) Nick 3 M1 for the intention to add Dave’s 4 times or Nick’s 4 times

A1 for 58 and 64

C1 (dep on M1 and two totals) for clearly stating Nick as their

answer or ft from their two totals

OR

M1 for the intention to find the difference between the times on

each of the 4 days

A1 for 6 or −6

C1 (dep on M1 and a net difference) for clearly stating Nick as their

answer or ft from their difference

[SC: B1 for “Nick spent 6 minutes more than Dave on his phone” if

M0 scored.]

32


Question Working Answer Mark Notes *3 Correct chart or

diagram

4 B1 for a key or suitable labels to identify bicycles and motorbikes or

clear differentiation between categories

B1 for 5 correct labels for days clearly in the appropriate place

B1 for a diagram(s) or chart(s)(combined or separate) set up for

comparison, correctly showing data for at least three days e.g. dual

bar chart, line graphs, pie charts, pictograms, etc

C1 fully correct diagram or chart to include all axes labelled.

*4 (a) 1.8 2 M1 for adding all 10 scores and dividing by 10 eg 18 ÷10

A1 cao

*(b) Greater and

explanation

2 M1 (ft from (b)) adding all 12 scores and dividing by 12

or for comparing 4 and 2 with ‘1.8’

or comparing 4 + 2 with 2 × ‘1.8’

C1 (ft from (b)) for correct conclusion and correct explanation

NB: if M1 A1 awarded in (b) comparison must be with 1.8

*5 diagram or

chart

4 B1 for a key or suitable labels to identify Kitty and George

B1 for diagram(s) or chart(s) set up for comparison, showing data for

at least 3 months, eg dual bar chart, line graph etc

B1 for correct heights for Kitty or George, dependent on a linear

scale

C1 for a fully correct diagram or chart to include 4 months labelled

and eg 'cars' or ‘frequency’ axis correctly scaled and labelled

*6 3 ×9.58 + 12.61 + 7.06 + 4.41 (= 52.82) Yes + working 4 M2 for 3 ×9.58 (=28.74) + 12.61 + 7.06 + 4.41 or

55 − 3 ×9.58 (=28.74) − 12.61 −7.06 − 4.41

(M1 for at least 2 correct costs seen)

A1 for 52.82 or 2.18

C1 (dep M1) for comparison and correct deduction using their total

cost or amount left

33


Question Working Answer Mark Notes *7

3 × 4 = 12

12 m2 = 120000 cm2

20 × 20 = 400

120000 ÷ 400 = 300

300 ÷ 10 = 30

OR

3m = 300cm, 4 m = 400cm

300 ÷ 20 = 15, 400 ÷ 20 = 20

15 × 20 = 300

300 ÷ 10 = 30

30 × 34.99 = 1049.70

No with

working

6 B1 for a correct conversion of 3 m or 4 m to cm or 20 cm to m or a

correct and appropriate area conversion.

M1 for 300 × 400 (=120000) or 3 ×4 (=12)

M1 for 20 × 20 or 0.20 × 0.20

M1 for ‘120000’÷ ‘400’ or ‘12’ ÷ ‘0.04’

A1 for 1049.7(0)


cost with supportive working

OR

B1 for a correct conversion of 3 m or 4 m to cm or 20 cm to m or a

correct and appropriate area conversion.

M1 for 300 ÷ 20 or 400 ÷ 20 or 3 ÷ 0.2(0) or 4 ÷0 2(0)

M1 for 300 ÷ 20 and 400 ÷ 20 or 3 ÷ 0.2(0) and 4 ÷0 2(0)

M1 for ‘15’ × ‘20’

A1 for 1049.7(0)


cost with supportive working

34


Question Working Answer Mark Notes *8 Yes +

supporting

work

4 M1 for adding the weights of all the ingredients (= 96)

M1 (dep) for ‘96’ × 8

A1 cao for 768

C1 (dep on M2), ft for a correct conclusion (yes or no) from a

comparison of 750 (pots) with their ‘768’ pots; units must be quoted

[SC: B1 for 768 seen without working if M0M0 scored]

OR

M1 for adding the weights of all the ingredients (= 96)

M1 for 750 ÷ 8

A1 cao for 93.75

C1(dep on M2), ft for a correct conclusion (yes or no) from a

comparison of their weight of ingredients in one tank full ‘93.75’ kg

with ‘96’ kg; units must be quoted

[SC: B1 for 93.75 seen without working if M0M0 scored]]

OR M1 for adding the weights of all the ingredients (= 96)

M1 (dep) for 750 ÷ ‘96’

A1 cao for 7.8125

C1(dep on M2), ft for a correct conclusion (yes or no) from a

comparison of their number of pots, ‘7.8125’ pots with 8 (pots);

units must be quoted

[SC: B1 for 7.8125 seen without working if M0M0 scored]]

35


Question Working Answer Mark Notes 9* Correct

statement

4 M1 for 6.50 × 8 + 12 or 6.50 × 7 + 15

M1 for 6.50 × 8 + 12 and 6.50 × 7 + 15

A1 for 64 and 60.5(0)

C1 (dep on first M1) for correct statement ft their figures

OR

M1 for 6.50 × (8−7) or 15−12

M1 for 6.50 × (8−7) and 15−12

A1 for 6.5(0) and 3

C1 (dep on first M1) for correct statement ft their figures

[SC If no working shown B1 for 64 and 60.5(0) or B1 for 6.5(0) and

3]

10* 34 or 33 4 M1 for one operation e.g. 12 × 4.5 (= 54) or 12 × 5 (= 60) or 4.5 × 5

(= 22.5) or ÷8

M1 for two operations e.g. 12 × 4.5 × 5 (= 270) or 12 × 4.5 ÷ 8 (=

6.75) or 4.5 × 5 ÷ 8 (= 2.8125) or 12 × 5 ÷ 8 (7.5)

M1 for a complete method e.g. 12 × 4.5 × 5 ÷ 8 (=33.75)

C1 for 34 accept 33 clearly identified from correct calculations and

correct figures

36


Question Working Answer Mark Notes 11* 148° 4 M1 for (angle BDC =) 360 – 250 (=110)

M1 (dep) for 180 – (180 – ‘110’ – 38) (= 148)

or for ‘110’ + 38 (= 148)

C2 (dep on M2) for x = 148 with full reasons, relevant to the

complete correct method used, for example:

Angles at a point add up to 360°

and angles in a triangle add up to 180°

and angles on a straight line add up to 180°;

Or

Angles at a point add up to 360°

and exterior angle of a triangle is equal to the sum of the interior

opposite angles or

(C1 (dep on at least M1) for one reason relevant to correct method)

*12

Paint R Us 6 × 2.19 (= 13.14)

Deco Mart 9× 1.80 (= 16.20)

16.20 × 0.9 (= 14.58)

Paint R Us

6

Paint R Us

M1 for ‘9 ¯ 3’× 2.19

A1 for 13.14

Deco Mart

M2 for100

90 × ’16.20’ oe

(M1 for100

10 × ’16.20’ oe )

A1 for 14.58

C1 (dep M1) for comparison of cost of 9 tins at

Paint R Us with cost of 9 tins at Deco Mart leading to a correct

deduction

37


Question Working Answer Mark Notes *13 £100 1300 rand

3700 rand £285

Computer 4680 rand

Watch 5200 rand

Camera 4875 rand

computer,

camera

3 M1 for method to convert 3700 rand into £ or for changing one

amount in pounds into rand

M1for a complete method to compare total money Simon has with

the cost of each item

C1 (dep M2) for correct conclusion with correct figures e.g.£383 -

£386 or 4950 rand to 5050 rand

*14 Small with

correct figures

for comparison

4 M1 for one calculation e.g. 6.5 ÷ 30 (=0.216...) or 8.95 ÷ 40

(=0.22375) or

10.99 ÷ 50 (=0.2198)

M1 for all three calculations e.g. of 6.5 ÷ 30 (=0.216...) and 8.95 ÷

40 (=0.22375) and 10.99 ÷ 50 (=0.2198);

A1 for 0.216... and 0.22375 and 0.2198... can be rounded or

truncated as long as they remain different

C1 (dep on M1) for conclusion ft from three comparable figures

[could use different figures relating to 30, 40, 50]

OR

M1 for one calculation e.g 6.5 × 20 (=130) or 8.95 × 15 (=134.25)

or 10.99 × 12 (=131.88)

M1 for three calculations e.g. 6.5 × 20 (=130) and 8.95 × 15

(=134.25) and

10.99 × 12 (=131.88)

A1 for 130 and 134.25 and 131.88 can be rounded or truncated as

long as they remain different

C1 (dep on M1) for conclusion ft from three comparable figures

[or any other calculations leading to comparable figures e.g. cost of

600 plants or comparing small and medium and small and large e.g.

120 plants and 150 plants separately]

38


Question Working Answer Mark Notes *15 (Method 1)

Angle ACB = 180 – 135 (= 45)

(sum of angles on a straight line = 180)

Angle ABC = 180 – 70 – 45 (=65) (sum of

angles in a triangle = 180

(x =) 180 – 65 (=115) (sum of angles on a

straight line = 180)

OR

(Method 2)

Angle ACB = 180 – 135 (= 45)

(sum of angles on a straight line = 180)

(x =) 70 + 45 (=115) (exterior angle = sum of

interior opposite angles)

OR

(Method 3)

Angle DAB = 180 – 70 = 110 (sum of angles

on a straight line = 180)

(x =) 360 – 135 – 110 (sum of exterior angles

of a polygon = 360)

x = 115 5 M1 for correct method to find angle DAB or angle ACB or angle

ABC (may be implied by correct angle marked in diagram)

M1 for complete correct method to find x

A1 for x = 115

C2 (dep on M1) for fully correct reasons for chosen method no

extras

(C1 (dep on M1) for one correct reason for chosen method)

[NB x = 115 must be stated explicitly, 115 only scores A0]

39



3

2

3 M1 for attempting to write at least two fractions expressed with a

common denominator with at least one of the two fractions correct

A1 for three correct fractions with suitable common denominator

C1 (dep M1) for correct conclusion from comparison of their three

OR

M1 for writing at least two of the fractions as decimals ie3

2 as

0.66(…) or 66(.6…)%, 8

7as 0.87(5 ) or 87.(5)%,

4

3as 0.75 or 75%

A1 for three correct decimals or percentages


OR

M1 for finding two fractions of the same number

e.g. 3

2 of 48 or

8

7 of 48 (may be implied by shading a fraction of a

rectangle divided into e.g. 48 parts)

A1 for three correct values or three correct diagrams with shading


OR

M1 for attempting to find the difference between 4

3and

3

2 and

between 4

3and

8

7 at least one pair of fractions expressed with a

suitable common denominator and at least one of the two fractions

correct

A1 for and or 0.08(333...) and 0.12(5)

C1 (dep M1) for correct conclusion from comparison of the 2

differences.

40


Question Working Answer Mark Notes *17 Not enough

mincemeat

since 600<700

OR

Only able to

make 38 mince

pies since

insufficient

mincemeat

4

M1 for 45 ÷ 18 (= 2.5)

M1 for 2.5 used as factor or divisor

A1 for 562.5 and 875 and 250 and 700 and 2.5 (accept 2 or 3) OR

for availables as 400 and 400 and 200 and 240 and 2.4 (accept 2 or

3)

C1 ft (dep on at least M1) for identifying and stating which

ingredient is insufficient for the recipe (with some supportive

evidence)

OR

M1 for a correct method to determine the number of pies one

ingredient could produce

M1 for a correct method to determine the number of pies all

ingredient could produce

A1 for 80 and 51 and 90 and 38 and 108

C1 ft (dep on at least M1) for identifying and stating which

ingredient is insufficient for the recipe (with some supportive

evidence)

41


Question Working Answer Mark Notes *18 Farm shop 4 M1 for 12.5 ÷ 2.5 (=5)

M1 for ‘5’×1.83 or ‘5’ × 183

A1 for (£)9.15 or 915(p)

C1 for decision ft working shown dep on at least M1

OR

M1 for 12.5 ÷ 2.5 (=5)

M1 for 9 ÷ 5 or 900 ÷ ‘5’

A1 for (£)1.8(0) or 180(p)


OR

M1 for 9 ÷ 12.5 (=0.72) or 1.83 ÷ 2.5 (=0.732)

M1 for 9 ÷ 12.5 (=0.72) and 1.83 ÷ 2.5 (=0.732)

A1 for 72(p) and 73.(2)(p) or (£)0.72 and (£)0.73(2)


OR M1 for 12.5 ÷ 9 (= 1.388...) oe

M1 for 2.5 ÷ 1.83 ( = 1.366.)oe

A1 for 1.38.... and 1.36... truncated or rounded to at least 3SF


42



Yes + evidence

2

M1 for a correct method to change 15 miles into kilometres

C1(dep on M1) for 24 km and statement with correct conclusion

[SC: B1 for “Yes” oe and 24 km shown if M0 scored]

OR

M1 for a correct method to change 20 kilometres into miles

C1(dep on M1) for 12.5 miles and statement with correct conclusion

[SC: B1 for “Yes” oe and 12.5 miles shown if M0 scored]

43



Angle DEC = 180 – 41 =139

Angles on a straight line sum to 180o

Angle EDC = 60 – 38 or

Angle ABD = 180 – 120 – 38 (=22)

Co-interior/Allied angles of parallel lines sum

to 180o or

Angles in a triangle sum to 180o and Alternate

angles

x = )180 – '139' – '22' (=19)

Angles in a triangle sum to 180o

OR

Angle ADC = 180o – 120o = 60o

Co-interior/Allied angles of parallel lines sum

to 180o Angle EDC = 22o

Angle ECD = 41o – 22o = 19o

Exterior angle of triangle equals sum of the

two opposite interior angles

OR

Angle DBC = 38o Alternate angles

Angle BCE = 101o Angle sum of a

triangle is 180o

Angle BCD = 120o Opposite angles of a

parallelogram are equal

Angle ECD = 120o – 101o = 19o

x = 19o and

reasons

4

M1 for DBC = 38o or

ADC = 60o(can be implied by BDC = 22o) or ABC = 60o or

DCB = 120o or

(ABD =) 180 – 120 –38 (=22)

M1 for (BDC =) 60 − 38 (=22) or

BDC = '22' or

(DEC =) 180 − 41 (=139) or

(BCE =) 180 −41 − 38 (=101)

M1 (dep on both previous M1) for complete correct method to find

x or

(x = ) 19

C1 for x = 19o AND

Co-interior/allied angles of parallel lines sum to 180o

or

Opposite angles of a parallelogram are equal

or

Alternate angles

AND Angles on a straight line sum to 180o

or Angles in a triangle sum to 180o

or Exterior angle of triangle equals sum of the two opposite interior

angles

or Angles in a quadrilateral sum to 360o

44


Question Working Answer Mark Notes *21 Tuesday and

Friday

3 M1 for 179 ÷ 12 or 162 ÷ 12 or 170 ÷ 12 or 143 ÷ 12

A1 for 14.9(166…) or 15 and 13.5 or 14 and 14.1(66…) or 15 and

11.9(16…) or 12

C1 (dep M1) ft for comparison of their results for all the days with

the number of teachers available leading to a correct statement

Or

M1 for 179 ÷ 15 or 162 ÷ 13 or 170 ÷ 14 or 143 ÷ 12

A1 for 11.9(3…) or 12 and 12.4(6…) or 13 and 12.1(4…) or 13 and

11.9(1…) or 12


12 leading to a correct statement

Or

M1 for 15 × 12 or 13 × 12 or 14 × 12 or 12 × 12

A1 for 180 and 156 and 168 and 144


the number of students taking part leading to a correct statement

45


Question Working Answer Mark Notes *22 Decision (No

the attendance

target was not

met)

3 M1 for attempting to find total number of students or 1210 seen

M1 for '1210'

'1092'× 100 oe or

'1210'

'118'× 100 oe

C1 for correct decision with 90.(2479...)

or correct decision with 6 and 9.(752...)

OR M1 for attempting to find total number of students or 1210 seen

M1 for 100

94× ‘1210’ oe

C1 for correct decision with 1137 (.4) and 1092 or correct decision

with 72(.6) and 118

OR M1 for a correct % method for one year,

e.g. 192

208× 100 or

94

100× 208

M1 for a correct % method for each year

C1 for correct decision with 92.(30...), 90.(87...), 89.(31...),

89.(27...), 89.(91...) or 195(.5..), 226.(9…), 246.(2..), 245.(3…),

223.(7…)

46


Question Working Answer Mark Notes *23 No + reason 4 M1 for intention to find the circumference

eg 140 × π (= 439.82...)

A1 for circumference = 439 – 440

M1 (dep on previous M1) for a complete method shown that could

arrive at two figures that are comparable, eg “C”÷60×12 (=87.96..),

90÷12×60 (=450) , 90×60 ÷ C”(=12.27), “C”÷90×12 (=58.64..)

C1 (dep on both M marks) for No and explanation that shows a

correct comparison eg only 84 people could sit around the tables or

that 13 tables are needed or that 480 cm is needed.

*24 (17–2.8)×9.5 =134.9

π×(3.8÷2)2 =11.34..

134.9 – 2×11.34 =112.21

112.21 ÷ 25 = 4.488

5 5 M1 for (17–2.8)×9.5 (=134.9) or 17×9.5– 2.8×9.5 (=161.5 - 26.6 =

134.9)

M1 for π×(3.8÷2)2 (=11.33 – 11.35)

M1(dep on M1) for '134.9' – 2×’11.34’

A1 for 112 - 113

C1(dep on at least M1) for 'He needs 5 boxes' ft from candidate's

calculation rounded up to the next integer.

47


Question Working Answer Mark Notes *25 180 × 365 =65700

65700÷1000 =65.7

65.7×91.22 =5993.154

5993.154÷100 + 28.20= 88.13..

D U C T

366 65880 6010 88.30

365 65700 5993 88.13

65000 5929 87.49

66000 6020 88.40

364 65520 5976 87.96

360 64800 5911 87.31

336 60480 5517 83.37

Decision (

Should have a

water meter

installed)

5 Per year

M1 for 180 × ‘365’ (=65700)

M1 for “65700”÷1000 (=65.7 or 65 or 66)

M1 for “65.7”×91.22 (=5993.....)

A1 for answer in range (£)87 – (£)89

C1(dep on at least M1) for conclusion following from working seen

OR (per day) M1 for 107 ÷ ‘365’ (=0.293…)

M1 for 180 ÷ 1000 × 91.22 (=16.4196)

M1 for 28.2 ÷ ‘365’ + ‘0.164196’ (units must be consistent)

A1 for 29 – 30(p) and 24– 24.3(p) oe


OR M1 for (107 – 28.20) ÷ 0.9122 (=86.384..)

M1 for ’86.384..’×1000 (=86384.5…)

M1 for ‘365’ × 180 (=65700)

A1 for 65700 and 86384.5..


NB : Allow 365 or 366 or 52×7 (=364) or 12 × 30 (=360) or 365¼

for number of days

48


Question Working Answer Mark Notes *26 No with correct

figure

3 M1 for a calculation which uses the Time × Speed = Distance

relationship OR a conversion of units eg between hours & minutes

or between mph & miles per min

M1 for a calculation involving both of the above

C1 for “no” with a correct calculation, with units, from working:

25.2 – 25.8 minutes,

30.1 – 30.8 miles, 69 – 69.3 mph

Distance ÷ speed: 30 ÷ 70 (= 0.42 - 0.43); Distance ÷ time: 30 ÷ 26

(= 1.15…);

Speed × time: = 70 × 26 (=1820 mins)

Mph to miles/min 70 ÷ 60 (=1.16-1.67); Minutes to hours is 26 ÷ 60

(= 0.43…)

NB 70 ÷ 26 × 30 as a single stage calculation gets 0 marks

Results Plus data for these questions:

New Question

Original Question

Paper Skill tested Mean score

Maximum score

Mean Percent

1 5 2F 1211 Use percentages in real-life situations, VAT, value of profit or loss and Income tax calculations

2.05 3 68

2(a) 4(a)

2F 1303

Extract data from lists and tables 0.96 1 96

2(b) 4(b) Extract data from lists and tables 0.93 1 93

2(c) 4(c) Extract data from lists and tables 2.70 3 90

3 8 2F 1311 Produce comparative and dual bar charts 2.99 4 75

4 10(b) 2F 1411 Calculate mean 1.52 2 76

4 10(c) 2F 1411 Calculate mean 1.07 2 54

5 10 2F 1306 Produce charts and diagrams for various data types 2.85 4 71

6 12 2F 1211 Add, subtract, multiply and divide any number 1.83 4 46

7 14 2F 1211 Add, subtract, multiply and divide any number 1.62 6 27

8 14 2F 1303 Add, subtract, multiply and divide whole numbers, integers, negative numbers, decimals, fractions and numbers in index form

2.24 4 56

9 14 2F 1306 Use formulae from mathematics and other subjects expressed initially in words and then using letters and symbols

3.28 4 82

10 15 2F 1311 Solve word problems 2.89 4 72

11 15 2F 1411 Understand and use the angle properties of triangles 1.50 4 38

12 16 2F 1211 Use percentages to solve problems 3.44 6 57

13 18b 2F 1406 Interpret straight-line graphs for real-life situations ready reckoner graphs, conversion graphs, fuel bills and fixed charge (standing charge) and cost per unit

1.16 3 39

14 19 2F 1311 Add, subtract, multiply and divide whole numbers, integers, negative numbers, decimals, fractions and numbers in index form

1.65 4 41

15 20 2F 1306 Understand and use the angle properties of triangles 1.15 5 23

16 21 2F 1406 Compare fractions 0.67 3 22

17 22 2F 1306 Solve a ratio problem in context 1.12 4 28

18 23 2F 1206 Solve word problems 2.08 4 52

19 24(b) 2F 1303 Understand and use compound measures including speed 1.11 2 56

20 24 2F 1211 Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals

0.78 4 20

21 24 2F 1406 Use one calculation to find the answer to another 1.28 3 43

22 24 2F 1411 Find a percentage of a quantity 1.26 3 42

50

New Question

Original Question

Paper Skill tested Mean score

Maximum score

Mean Percent

23 26 2F 1411 Recall and use the formulae for the circumference of a circle and the area enclosed by a circle

0.92 4 23

24 27 2F 1206 Find circumferences and areas of circles 0.88 5 18

25 28 2F 1206 Convert measurements from one unit to another 1.03 5 21

26 28 2F 1311 Understand and use compound measures including speed 0.29 3 10

TOTAL 47.25 104 45

Documents

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