Maths and the Co-op

Designed by Mark Greenaway, Mark Johnson & ANO with support and sponsorship from the Co-op Page 1

Co-op FOOD FOR THOUGHT.

Welcome to the Co-op Food For Thought mathematics pack. We hope you will find the

resource stimulating, exciting and thought provoking. The pack has been designed to be

accessed by pupils across the ability range within Key Stage 3. It is a set of activities

based on real life situations that can be used as stand alone activities or as a complete

package. Many of the tabulating problems can be solved by using paper and pen, calculators

or spreadsheets. All the resources can be extended in a variety of ways.

You may need to update prices and modify the contents of this resource to suit your

pupils' needs.


Contents

TASK PRINCIPAL TOPIC(S)

Transport Scale, converting between units,12 and 24 hour clock,

distance-time graphs, grid references, loci, percentages,

volume. The Cornflake Box Area, volume, nets.

Tins of Beans Area, volume, nets, square numbers.

Sales Percentages, compound measures, rounding, averages, pie

charts.

Newspaper Sales Problem solving number investigation.

Converting Weights Converting units.

Price Comparison Investigation-data collection, unit costs.

Price Reduction Percentages.

Profit Margins Number calculations, percentage increase/extension.

Comparison of data, pie charts.

Advertising Number work/problem solving.

Dividends Percentages.

Answers


TRANSPORT

The majority of goods are transported from the Federal Warehouse to the

stores using either an articulated lorry or a fixed body lorry.

Type of Vehicle Fuel Consumption

(Distance travelled using 1 gallon

of fuel)

Fuel Capacity

(A full tank will hold)

Articulated Lorry 7.5 mpg 300 litres

Fixed Body Lorry 8 mpg 250 litres

1. Using the facts that 1 litre = 2.2 pints and 8 pints = 1 gallon work out the fuel capacity

of the two vehicles in gallons.

2. (a) How many miles can each type of lorry travel on a full tank of fuel?

(b) If 1 mile = 1.6km, how many kms can each type of lorry travel on a full tank of fuel?

3. Both types of lorries use Diesel Engine Road Vehicle fuel ( DERV ). If the cost of 1

litre of fuel is 79.9p how much will it cost to fill up an articulated lorry and how much

will it cost to fill up a fixed body lorry?

4. The fleet of lorries is made up of 6 rigid body lorries and 12 articulated lorries. How

much will it cost to fill up the whole fleet of lorries?

At the warehouse goods are loaded into cages which are then wheeled onto the lorry to be

transported to the store.

The dimensions for an articulated lorry and for a cage are shown on the diagrams below.

12m

9 feet 158cm

82cm

2.4 metres

69cm

5. What is the maximum number of cages that can be wheeled onto the lorry?


6. If the lorry is full of packed cages what volume of air is left above the cages?

7. What percentage of the trailer is used to transport the goods?

8. Using the distance chart below write the distances between the following towns on the

route map provided.

Ipswich - Stowmarket

Stowmarket - Eye

Eye - Framlingham

Ipswich - Woodbridge

Woodbridge - Saxmundham

Saxmundham - Leiston

Leiston - Framlingham

Eye 0

Felixstowe 45 0

Framlingham 13 40 0

Hadleigh 27 31 25 0

Ipswich 21 24 18 7 0

Leiston 23 29 15 35 30 0

Saxmundham 19 26 7 31 27 4 0

Stowmarket 13 36 12 14 12 25 25 0

Woodbridge 28 13 11 18 15 16 13 21 0

Eye

Felix

stowe

Fram

lingham

Had

leigh

Ipsw

ich

Leiston

Sax

mund

ham

Stow

marke

t

Wood

brid

ge

9. Using the map below together with the chart

of distances above is it possible for a lorry to

leave the Ipswich warehouse, drop goods at

every store and return to the warehouse on a

full tank of fuel?

10. How many times can each type of lorry do the

journey in question 9?

Distances are

given in miles


11. On the map shade the area within 10kms of Woodbridge. How many marked stores are

there within the shaded section?

12. On the map shade the area within 20kms of Framlingham. How many marked stores are

there within the shaded section?

13. Shade the area which is within 10kms of Woodbridge and also 20kms of Framlingham.

How many marked stores are there?

14. Which towns are located in grid references (3,6), (1,7) and (1,4)?

15. Write down the grid references for Hadleigh and Leiston.



Tachodisc

1. At what time did the journey commence?

2. What was the maximum speed reached during the journey?

3. What might have happened at 5pm?

4. Between what times do you think the driver had breakfast and how long was the stop?

5. At what time do you think the driver had lunch?

6. How far did the lorry travel between 6am and 9am?

7. How far did the lorry travel between 11am and 1pm?


8. Between what times was there a lot of traffic?

9. Draw an approximate distance-time graph for the entire journey.

10. Approximately how many kms did the lorry cover in total, show how you came up with

your answer?

11. If 1 mile = 1.6 km how far was the journey in miles?

12. How long was the lorry being driven?

13. What was the average speed for the entire journey, ignoring rest times in mph?

14. At what time did the journey finish?

15. On the blank Tachodisc draw a journey of your own and either describe the journey

yourself or make up some questions for someone else in your group.


CORN FLAKES BOX

These pictures show a box of Corn Flakes

and a net it forms when unfolded.

1) What is the volume of this box in cubic centimetres?

2) What is the area of this net?

3) Design another box for the same product which has the same volume.


5) Card costs 15p per square metre.

What is the cost of the card for a) box 1

b) box 2 ? ( to 1 d.p.)

6) Investigate the different amounts of card used to make boxes with

the same volume.

7) What are the measurements of the box which will give you the

same volume but will use the least amount of card?

20cm Width

9cm

Depth

30cm

Heig

ht


TINS OF BEANS

For a floor display tins are stacked in the shape of a square based pyramid.

1) The display is to be 8 tins high, how many tins will be used?

In another display there are 400 tins to stack.

2 a) How many tins high will the display be?

b) How many tins will be left over?

A 420g tin of beans has radius of 3.75cm

3) What is the name of the shape of the tin?

4) The tin is 10.4 cm high. What is the volume of the

tin in cubic centimetres?

5) Draw a net of the tin.

6) What is the area of the net in square

centimetres?

7) The actual cost to make a tin is 4p, what will the

cost per square centimetre be?


SALES

For each hour the store is open the following table gives:

(a) The amount of money taken

(b) The percentage of the total sales taken during each hour

(c) The number of customers and

(d) The number of tills open.

Friday

Time Sales % of total

sales

Customers Number of

tills

8am to 9am £645.04 2% 71 5

9am to 10am £2,351.84 6% 237 10

10am to 11am £3,794.38 10% 360 10

11am to 12pm £4,802.16 13% 418 11

12pm to 1pm £4,018.75 11% 359 10

1pm to 2pm £2,646.14 7% 275 8

2pm to 3pm £3,236.29 9% 287 7

3pm to 4pm £3,625.36 10% 341 9

4pm to 5pm £3,354.11 9% 327 9

5pm to 6pm £3,703.70 10% 251 10

6pm to 7pm £3,658.24 10% 225 8

7pm to 8pm £1,369.69 3% 111 7

1. Calculate the total sales for the day.

2. Calculate the total number of customers for the day.

3. How much money did each customer spend on average?

4. Which hour of the day has the most customers?

5. How much did each customer spend on average during the hour 9am to 10am?

6. How much did each customer spend on average during the hour 1pm to 2pm?

7. Round all the sales figures to the nearest ₤100 and then draw a suitable graph showing

the sales for each hour of the day. (Time of the day should go along the x-axis)

8. Draw a Pie Chart to show the result in the % of total sales column.


Extension Tasks

1. Using the information below complete the missing data for Saturday.

2. Draw a Pie Chart to show the number of customers at the store during each hour for Saturday.

3. Compare the results for Friday and Saturday, display the results and write down your observations.

4. Draw a cumulative frequency table for either the sales or customers figures and the corresponding curve. Find the median

and the interquartile range.

Saturday

Time Sales % of total

sales

Customers % of

Customers

Number of

tills

Sales per till Customers per till Sales per Customer

8am to 9am £665.76 85 6

9am to 10am £2,520.11 285 8

10am to 11am £3,146.26 380 9

11am to 12pm £3,842.30 426 10

12pm to 1pm £3,849.75 389 9

1pm to 2pm £3,418.03 379 8

2pm to 3pm £2,742.39 307 8

3pm to 4pm £3,368.90 366 9

4pm to 5pm £3,480.19 365 9

5pm to 6pm £2,747.54 296 7

6pm to 7pm £1,400.70 160 5

7pm to 8pm £68.14 9 3


NEWSPAPER SALES.

If a Co-op store wishes to sell newspapers it must

guarantee to have sales of at least ₤300.

If we simplify the situation a manager might face and

imagine that the shop sells 3 types of papers:

Paper A costs 30p

Paper B costs 45p and

Paper C costs 70p.

1. If the manager sold the following then would he have sold enough?

Paper Sales

A 320

B 220

C 170

2. If the price of paper A is reduced to 10p how much would the sales be now?

3. How many extra copies of paper A would the manager need to sell to sell ₤300 worth

of papers?

4. Refering to the figures in Q1. If the sales of paper A went up by 12% but the sales of

paper B dropped by 13% and paper C by 15% does the store reach its target of ₤300

worth of sales.

5. Draw Pie Charts to show the sales figures for Questions 1, 2 and 4

6. If the shop sold exactly 600 papers at the prices given in Question 1 how many of each

might it sell to exactly reach its target of ₤300.

Extension Question.

7. Paper A now costs 32p, Paper B now costs 43p, Paper C now costs 65p is it now possible

to sell 600 papers for exactly ₤300?


CONVERTING WEIGHTS

1) Approximately:

1 ounce (oz) = 30 g

Copy and complete the following table.

oz 1 2 4 8 11 14.5 16

grams 30 180 262.5 270

2) Approximately: 1 pound (lb) = 0.45 kg

Copy and complete the following table.

lb 1 2 4 6.5 11 12.15 14

kg 0.45 2.7 3.24 4.5

3) Design a conversion chart based on the above tables which will help you change ounces

to grams, grams to ounces, pounds to kilograms and kilograms to pounds.


PRICE COMPARISON

1) Copy and complete the table below.

The unit price for each item should be calculated referring to the table following this task

sheet which shows the units on which to base the price.

Price Quantity Unit Price

Co-op tinned peaches 37p 411g

Co-op Baked Beans 27p 420g

Co-op Corn Flakes 89p 500g

Co-op Fresh Double Cream 75p 284ml

Co-op Cola 49p 2 litre

Co-op Vanilla Ice-Cream £1.67 2 litre

Co-op Semi-Skimmed Milk 95p 4 pints

Co-op Free Range Eggs (large) £1.29 6 eggs

2) Compare the retail prices above to the retail prices of some well-known labels.

- which items are best value?

- by adding the retail prices are the Co-op items better value overall?

3) Repeat Q2 but this time compare the Co-op items with other stores' own labels.


UNIT PRICING, RESOURCE SHEET.

Regulations require that shelf edge labels and some advertising materials display the "unit

price" of goods as follows:-

TYPE OF GOODS UNIT PRICING BASIS

COSMETICS per 10g or 10ml

PETFOOD per kg or item

CANNED FRUIT per kg

CANNED VEGETABLES per kg

CANNED MEAT per kg

BREAKFAST CEREALS per 100g or item

SAUCES,PICKLES,OILS per 100g or 100ml

SUGAR per kg

DESSERTS/PUDDINGS-CREAM per 100ml

SOFT DRINKS per 100ml

CAKES per kg or item

MAGAZINES per item

FROZEN VEGETABLES per kg

ICE CREAM & RELATED PRODUCTS per 100g or 100ml

MILK per litre

EGGS per item

SALADS per 100g

PIZZA per kg

Decimal places and roundings of Unit Prices to be handled as follows:

If Unit Price is below £1.00 then state price to the nearest 0.1p. Five hundredths of one

penny or higher should be rounded up and four hundredths or lower rounded down.

If Unit Price is above £1.00 then state price to the nearest 1p. Five tenths of one penny

or higher should be rounded up and four tenths or lower rounded down.


PRICE REDUCTIONS.

On a regular basis the Co-op decide to have a

promotion and reduce the price of a particular

item. The aim of this sheet is to explore the

effects of such price reductions on the sale of

other items and on the total sales in a store.

The prices of 5 pieces of fruit are given below

with the number of each item sold during the

week.

Fruit Melon Lemons Apples Pears Bananas

Sales 8 18 68 42 51

Price 98p 16p 12p 16p 14p

1. How many pieces of these fruits are sold during the week?

2. Work out the amount of money spent on the 5 pieces of fruit during the week.

In promotion idea 1, it is decided to sell bananas at half price,

which has the effect of increasing banana sales by 40% but

reducing the sales of apples by 10% and the sales of pears by

15%.

3. How much money would now be spent on the 5 pieces of fruit?

4. How many pieces of fruit would be sold now?

In promotion idea 2, it is decided to reduce the price of apples to 10p, which has the

effect of increasing apple sales by 30% but reducing the sales of bananas by 5%, the sales

of melons by 8% and the sales of pears by 12%.




In promotion idea 3, it is decided to sell melons at 60p, which

has the effect of increasing melon sales by 92% but reducing

the sales of apples by 18%, the sales of bananas by 14% and

the sales of pears by 23%.




PROFIT AND PROFIT MARGIN 1

1) The table below lists 8 items with their selling prices and total costs

Copy the table calculating the profit for each item and their profit

margin (profit as a percentage of selling price).

ITEM Selling Price Total Cost Profit Profit Margin

Baked Beans 27p 25.65p

Corn Flakes 89p 80.1p

Coca Cola £1.25 87.5p

Ice-cream £1.67 100.2p

Bananas (per kg) £1.08 90.72p

Digestive Biscuits 52p 49.92p

Crisps (pack of 6) 99p 64.35p

Chicken (each) £2.79 111.6p

2) This table lists 4 different items with their total costs and profit

margins required.

Copy and complete the table calculating the selling price for each item.

TAKE CARE:

The profit margin required is a percentage of the final selling price.

ITEM Total Costs Profit Margin Selling Price

White cabbage 29.7p 10%

Lemonade (1 litre) 35.15p 5%

Grapes (per kg) £2.55 15%

Apple Crumble £1.40 20%


PROFIT AND PROFIT MARGIN 2

1) This table shows how the price of 4 items is made up.

Calculate the profit for each item, copy and complete the table.

ITEM BUILDING

RENT

LIGHTING

AND HEAT

WAGES TRANSPORT

AND

PACKAGING

PROFIT RETAIL

PRICE

Baked Beans 8.1p 3.24p 7.5p 6.81p 27p

Corn Flakes 26.7p 10.68p 17.6p 25.12p 89p

Coca Cola 37.5p 15p 15p 20p £1.25

Ice-cream 50.1p 20.04p 20p 10.06p £1.67

2) The table below shows the percentage of the retail price of each part

for each item.

Calculate each percentage and then copy and complete the table.

ITEM BUILDIN

G RENT

LIGHTING

AND HEAT

WAGES TRANSPORT PROFIT RETAIL

PRICE

Baked Beans 100

Corn Flakes 100

Coca Cola 100

Ice-cream 100

3) Draw 4 pie charts (1 for each item) showing this information.

Comment on your results.


ADVERTISING

You have an advertising budget of ₤28,000 to promote a special offer. It is

known that there 160,000 houses in the area surrounding the Co-op stores which

need to be targeted. Using the figures given below decide how you intend to

spend the advertising budget to most effectively inform potential customers.

Production costs are only payable once for making

the advertisement but space costs have to be

multiplied by the number of occasions on which

you wish your advertisement to appear.

Medium Space/Time Cost per

hour

Production

time East Anglian Daily Times ₤8 per column cm ₤50 3

Evening Star ₤7 per column cm ₤50 3

The Advertiser ₤8.10 per column cm ₤50 3

SGR FM radio ₤194 per 30 second

advert

plus ₤18 per broadcast

Production cost

₤150 per commercial

Anglia TV ₤10,000 per week

for 40 slots

Production cost

₤5,000 per commercial

Buses ₤187 per bus ₤275

Hoardings ₤1,100 each ₤660

Launch Event ₤1250

Flyers (per 1000) Distribution Costs ₤15 ₤55

A typical page in one of the newspapers has 8 columns and each column is 36cm long. So if

you wanted to place an advert in the Advertiser which would cover 3 columns wide and be

6cm in length the cost would be:

₤8.10 x 6 x 3 = ₤145.80 each time you place the advert plus

₤50 x 3 = ₤150 for one-off production costs. Total = ₤295.80

Present your final budget breakdown in table form.


DIVIDENDS

1) This table shows a list of 20 items and their retail prices.

Baked Beans 27p Lemonade 51p

Corn Flakes 89p Jar of Coffee £2.99

Tinned Peaches 39p Tea Bags £2.82

Ice-cream £1.67 Sugar 69p

Eggs £1.29 Bread 43p

Digestive Biscuits 52p Jam 85p

Cauliflower 59p Sunflower Spread £1.09

Oven Chips £1.19 Milk 95p

Frozen Peas £2.05 Chocolate Mini Rolls 89p

Beefburgers 81p Cheese £1.39

In Ipswich a dividend of 3% is paid on sales.

You put at least 10 items in your shopping basket, calculate the dividend paid on each of

the items you buy and the total dividend you will receive.

2) A friend buys the same items in Norwich for the same price. However, in Norwich the

dividend paid on sales is 2½ %. What will be the total dividend they receive?

What is difference between the dividends paid;

a) in £

b) as a percentage of the Ipswich dividend paid?


Transport - Answers

1. Articulated lorry 82.5 gallons

Fixed Body lorry 68.75 gallons

2. Articulated lorry 618.75 miles = 990 kms

Fixed Body lorry 550 miles = 880 kms

3. Articulated lorry ₤239.70

Fixed Body lorry ₤199.75

4. ₤4,074.90

5. 14 rows 17 rows 17 rows

82cm

69cm

69cm 82cm 82cm

Total cages = 52.

6. 9 feet = 270cm so height above cages = 112cm

Volume wasted = 1.12x12x2.4 = 32.256

Volume of lorry = 2.7x12x2.4 = 77.76

Percentage wasted = 41.5%

7. 58.5%

8. Ipswich - Stowmarket 12 miles

Stowmarket - Eye 13 miles

Eye - Framlingham 13 miles

Ipswich - Woodbridge 15 miles

Woodbridge - Saxmundham 13 miles

Saxmundham - Leiston 4 miles

Leiston - Framlingham 15 miles

9. Yes - A round trip is 99 miles


10. 6 complete circuits for an articulated vehicle

5 complete circuits for a fixed body vehicle.

11. 11 stores

12. 18 stores

13. 9 stores

14. (3,6) = Saxmundham

(1,7) = Eye

(1,4) = Ipswich

15. Hadleigh = (0,4)

Leiston = (4,6)

Tachodisc

1. 6am

2. 140 km/hr

3. Toilet Break

4. 9am to 9.45am 45minutes

5. 1pm to 2pm

6. 420km

7. 240km

8. 2pm till 4pm

9.

10. 3x140 + 3x120 + 2x60 + 100x1 + 2.5x80 (Approximating speed of each section as a

constant speed) Total distance = 1200km

11. 750 miles

12. 14hrs – 2.25hrs = 11.75hrs

13. 750/11.75 = 64mph

14. 8pm


CORN FLAKES BOX - Answers

1) What is the volume of this box in cubic centimetres?

…………………………………..20 x 9 x 30 = 5400 cm3


………….20 x 30 x 2 + 9 x 30 x 2 + 20 x 9 x 2 = 2100 cm3

3) Design another box for the same product which has the same

volume……………….pupils' own boxes

4) What is the area of this net?……..see pupils' own calculations

for their own nets

5) Card costs 15p per square metre.

What is the cost of the card for

a) box 1 …..2100/10000 x 15 = 3.1p or 3.2p

b) box 2 …..pupils' own area/10000 x 15

6) Investigate the different amounts of card used to make boxes

with the same volume……….pupils' own workings

they do not have to restrict

themselves to cuboids

7) What are the measurements of the box which will give you the

same volume but will use the least amount of card?

length width height volume area

20 9 30 5400 2100

10 18 30 5400 2040

20 18 15 5400 1860

… … …

… … …

17.544 17.544 17.544 5400 1847

Why do manufactures not use cubes for their products?


TINS OF BEANS: ANSWERS

For a floor display tins are stacked in the shape of a square based pyramid.

1) The display is to be 8 tins high, how many tins will be used?…….204

In another display there are 400 tins to stack

2a) How many tins high will the display be?……………10

b) How many tins will be left over?……………….15

A 420g tin of beans has radius of 3.75cm

3) What is the name of the shape of the tin?……….cylinder

4) The tin is 10.4 cm high. What is the volume of the tin in cubic

centimetres? (to 2 d.p.)………….459.18 cm3 (using = 3.142)

( 3.75 x 3.75 x 3.142 x 10.4 )

5) Draw a net of the tin…………..as per pupils' diagrams

6) What is the area of the net in square centimetres? (to 2 d.p.)

……333.44 cm2 (using = 3.142)

( 3.75 x 3.75 x 3.142 x 2 ) + ( 7.5 x 3.142 x 10.4 )

7) The actual cost to make a tin is 4p, what will the cost per square

centimetre be?……………….0.012p

__ 4__

333.44


Sales - Answers

Q7. 8am to 9am £600

Q1. Total sales for the day 37205.7

9am to 10am £2,400

Q2. Total customers for the day 3262

10am to 11am £3,800

Q3. Money spent on average 11.41

11am to 12pm £4,800

Q4. Busiest hour

12pm-1pm has the most sales

12pm to 1pm £4,000

11am-12pm has the most customers 1pm to 2pm £2,600

Q5. Average spent

9.92

2pm to 3pm £3,200

Q6. Average spent

9.62

3pm to 4pm £3,600

4pm to 5pm £3,400

5pm to 6pm £3,700

6pm to 7pm £3,700

7pm to 8pm £1,400

Extension Saturday

Time Sales

% of total

sales

Customer

s

% of

customer

s

Number

of tills

Sales

per till customers per till

Sales per

customer

8am to 9am £665.76 2.1% 85 2.5% 6 110.96 14 £7.83

9am to 10am £2,520.11 8.1% 285 8.3% 8 315.01 36 £8.84

10am to 11am £3,146.26 10.1% 380 11.0% 9 349.58 42 £8.28

11am to 12pm £3,842.30 12.3% 426 12.4% 10 384.23 43 £9.02

12pm to 1pm £3,849.75 12.3% 389 11.3% 9 427.75 43 £9.90

1pm to 2pm £3,418.03 10.9% 379 11.0% 8 427.25 47 £9.02

2pm to 3pm £2,742.39 8.8% 307 8.9% 8 342.80 38 £8.93

3pm to 4pm £3,368.90 10.8% 366 10.6% 9 374.32 41 £9.20

4pm to 5pm £3,480.19 11.1% 365 10.6% 9 386.69 41 £9.53

5pm to 6pm £2,747.54 8.8% 296 8.6% 7 392.51 42 £9.28

6pm to 7pm £1,400.70 4.5% 160 4.6% 5 280.14 32 £8.75

7pm to 8pm £68.14 0.2% 9 0.3% 3 22.71 3 £7.57


Newspaper Sales - Answer Sheets

Q1. Paper A 30 340 102

Paper B 45 220 99

Paper C 70 170 119

320

Q2. Paper A 10 340 34

Paper B 45 220 99

Paper C 70 170 119

252

Q3. Extra 480 copies need to be sold

Q4. Paper A 30 380.8 114.24

Paper B 45 191.4 86.13

Paper C 70 144.5 101.15

301.52

Q6. Paper A 30 170 51

Paper B 45 208 93.6

Paper C 70 222 155.4

600 300


CONVERTING WEIGHTS: ANSWERS

1) Approximately: 1 ounce (oz) = 30 g

oz 1 2 4 6 8 8.75 9 11 14.5 16

grams 30 60 120 180 240 262.5 270 330 435 480

2) Approximately: 1 pound (lb) = 0.45 kg

lb 1 2 4 6 6.5 7.2 10 11 12.15 14

kg 0.45 0.9 1.8 2.7 2.925 3.24 4.5 4.95 5.4675 6.3

3) Design a conversion chart based on the above tables which will help you

change ounces to grams, grams to ounces, pounds to kilograms and

kilograms to pounds.

………………as per pupils' diagrams.


PRICE COMPARISON: ANSWERS

1)

Price Quantity Unit Price

Co-op tinned peaches 37p 411g 90.0p per kg

Co-op Baked Beans 27p 420g 64.3p per kg

Co-op Corn Flakes 89p 500g 17.8p per 100g

Co-op Fresh Double Cream 75p 284ml 26.4p per 100ml

Co-op Cola 49p 2 litre 2.5p per 100ml

Co-op Vanilla Ice-Cream £1.67 2 litre 0.1p per 100ml

Co-op Semi-Skimmed Milk 95p 4 pints 43.6p per litre

Co-op Free Range Eggs (large) £1.29 6 eggs 2.5p per egg

2) Compare the retail prices above to the retail prices of some well known

labels.

- which items are best value?…….. as per the pupils' results.

- by adding the retail prices are the Co-op items better value overall?

- as per the pupils' results.

3) Repeat Q2 but this time compare the Co-op items with other stores'

own labels……………………as per the pupils' results.


Price Reductions - Answer Sheet


Sales 12 18 68 42 51

Q1 Items sold = 191

Price (p) 98 16 12 16 14

Q2 Sales = £36.66


Sales 12 18 61 36 71

Q3 Items sold = 198

Price (p) 98 16 12 16 7

Q4 Sales = £32.69


Sales 11 18 88 42 48

Q5 Items sold = 207

Price (p) 98 16 10 16 14

Q6 Sales = £35.90


Sales 23 18 56 32 44

Q7 Items sold = 173

Price (p) 60 16 12 16 14

Q8 Sales = £34.68


PROFIT AND PROFIT MARGIN 1: ANSWERS

1)

ITEM Selling Price Total Cost Profit Profit

Margin

Baked Beans 27p 25.65p 1.35p 5%

Corn Flakes 89p 80.1p 8.9p 10%

Coca Cola £1.25 87.5p 37.5p 30%

Ice-cream £1.67 100.2p 66.8p 40%

Bananas (per kg) £1.08 90.72p 17.28p 16%

Digestive Biscuits 52p 49.92p 2.08p 4%

Crisps (pack of 6) 99p 64.35p 34.65p 35%

Chicken (each) £2.79 111.6p 167.4p 60%

2) If the profit margin is 10% the total cost must equal 90%

Selling Price x 90% = Total Cost Therefore; Selling Price = Total Cost

0.9

ITEM Total Costs Profit Margin Selling Price

White cabbage 29.7p 10% 33p

Lemonade (1 litre) 35.15p 5% 37p

Grapes (per kg) £2.55 15% £3.00

Apple Crumble £1.40 20% £1.75

PROFIT AND PROFIT MARGIN 2: ANSWERS

1)

ITEM BUILDING

RENT

LIGHTING

AND HEAT

WAGES TRANSPOR

T AND

PACKAGING

PROFIT RETAIL

PRICE

Baked

Beans

8.1p 3.24p 7.5p 6.81p 1.35p 27p

Corn

Flakes

26.7p 10.68p 17.6p 25.12p 8.81p 89p

Coca Cola 37.5p 15p 15p 20p 37.5p £1.25

Ice-

cream

50.1p 20.04p 20p 10.06p 66.8p £1.67


2)

Q3

ITEM BUILDING

RENT

LIGHTING

AND HEAT

WAGES TRANSPOR

T

PROFIT RETAIL

PRICE

Baked

Beans

30% 12% 27.8% 25.2% 5% 100

Corn

Flakes

30% 12% 19.8% 28.2% 10% 100

Coca Cola

30% 12% 12% 16% 30% 100

Ice-cream

30% 12% 12% 6% 40% 100


Dividends - Answers

TABLE OF DIVIDENDS PAYABLE

IPSWICH at 3% and NORWICH at 2½%

The answers to this worksheet are dependent on the items the pupils put in their shopping

baskets

ITEM PRICE IPSWICH DIV. NORWICH DIV.

Baked Beans 27p 0.81p 0.675p

Corn Flakes 89p 2.67p 2.225p

Tinned Peaches 39p 1.17p 0.975p

Ice-cream £1 .67 5.01p 4.175p

Eggs £1 .29 3.87p 3.225p

Digestive Biscuits 52p 1.56p 1.3p

Cauliflower 59p 1.77p 1.475p

Oven Chips £1 .19 3.57p 2.975p

Frozen Peas £2.05 6.15p 5.125p

Beefburgers 81p 2.43p 2.025p

Lemonade 51p 1.53p 1.275p

Jar of coffee £2.99 8.97p 7.475p

Tea bags £2.82 8.46p 7.05p

Sugar 69p 2.07p 1.725p

Bread 43p 1.29p 1.075p

Jam 85p 2.55p 2.125p

Sunflower Spread £1 .09 3.27p 2.725p

Milk 95p 2.85p 2.375p

Chocolate Mini Rolls 89p 2.67p 2.225p

Cheese £1 .39 4.17p 3.475p

Documents

Maths and the Co-op