Mathematics - PBworksbtrcc.pbworks.com/w/file/fetch/107110347/Stage 2 Handling...Handling Data (1)...

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Mathematics

Stage 2

Handling Data

S. J. Cooper

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Handling Data (1) Collection of data 1. Susan wishes to carry out a survey to find how many students travelled to school.

(a) Design a data collection sheet so that you could collect the data for her.

(b) Fill in your sheet using the students in your maths set.

(c) Give two disadvantages of asking students in your class for this survey.

2. Tim is a paperboy who is interested in the different types of newspapers read by people.

(a) Design an observation sheet for Tim so that he could collect data for his survey.

Tim decided to conduct his survey by asking the neighbours in his street. His results are shown

below:

M = Mirror D = Daily mail S = Sun G = Guardian T = Times O = other

M

M

M

G

M

T

S

S

M

S

T

S

M

G

T

D

S

O

O

M

G

G

T

M

T

S

D

D

M

O

(b) Place these results into the observation sheet designed in part (a)

(c) Give one disadvantage to the way in which Tim collected his data.

3. A restaurant has a three-course meal on offer, which consists of a

starter, main course and dessert. The starter is either soup or melon.

The main course is fish, vegetarian or steak and the dessert will be

either treacle pudding or ice cream.

Design three separate sheets, which will enable the restaurant staff,

collect a tables order most effectively.

4. Mr frost runs an ice cream van and is interested to find the number of sales he has for each of

the following categories: Cornets, Choc-ices, Ice lollies and soft drinks.

(a) Design a tally chart for Mr Frost to collect his data.

(b) What advice could you give Mr Frost for collecting the data?

Thomas Whitham Sixth Form Page 1

5. “Students spend too much time watching television and not enough time on homework or

exercise”.

(a) Design an observation sheet which could be used to gather evidence for this statement.

(b) Collect enough data and make your own conclusion.


Handling Data (2) Bar Charts 1. The bar chart below shows the results

for a survey on favourite football teams.

(a) How many people chose Liverpool as

their favourite football club?

(b) How many people took part in this

survey?

(c) Which foot ball club was the most

popular?

2. Abdul and Rachel did a survey of types of vehicles passing the school gate one lunch hour and

produced the following frequency table.

Type of Vehicle Bicycle Motorbike Car Lorry

Frequency 4 12 17 9

a) How many vehicles passed the school gate altogether?

b) Which was the most common type of vehicle?

c) Draw a bar chart to show this information.

3. This frequency table shows the results of a survey on children’s opinions about the quality of

school dinners.

Opinion Very Good Good Satisfactory Poor Very Poor

Frequency 3 11 20 11 7

a) How many people were asked their opinions on school dinners?

b) Draw a bar chart to show this information.

Blackburn

1 2 3 4 5 6 7 8 9 10 11 Frequency

Man Utd

Burnley

Liverpool

Other


4. The exam entries in a small school for GCSE maths, science, English and R.E. are as follows.

Maths

Science

English

R.E.

28

24

30

12

a) How many entries are made in total?

b) Represent this information on a bar chart.

5. The table below shows the results for 60 pupils on their favourite Pop Groups

Spice Girls

Boyzone

Westlife

Hear’say.

14

18

23

5

a) Which band was the most popular?

b) Represent this information on a bar chart.

6. The bar chart below shows the expenditure in January for a student at college.

(a) How much is spent on entertainment?

(b) Which category accounts for the largest expenditure?

(c) How much did this student spend in January?

5 10 15 20 25 30 35 40 45 50 55 60 65 70 75

80 £

ENTERTAINME

bills

RENT

FOOD

DRINK


Handling Data (3) Pictograms 1. A building firm spends six months on a site where

it is building a housing estate. This pictogram shows

the number of men employed each month.

a) In which month were most men employed?

b) In which were least men employed?

c) Can you suggest any reasons for the change in

employment?

d) If the average monthly wage per man is £400,

what is the wage bill for

(i) July

(ii) August

(iii)the whole six months?

2. A Supermarket manager notes the number of delivery vans which arrive each day.

a) On which weekday was the supermarket closed?

b) Which day was busier than Tuesday for deliveries?

c) On which day did least vans deliver?

Can you suggest a reason why the manager

arranged it so?

d) What was the total number of vans delivering

that week?

3. Alan and Sarah did a survey on the types of vehicles passing their street. They placed their

findings in the table below

Type of Vehicle Bus Motorbike Car Lorry

Frequency 4 7 25 17

Represent these results in a pictogram

4.

5. A council did a survey on the number of children visiting the local swimming baths during one

week. The results are shown below.

Mon. Tues. Weds. Thurs. Fri. Sat. Sun.

Boys 15 20 22 26 40 56 0

Girls 10 15 25 22 23 41 0

Draw two separate pictograms. One for boys visiting the swimming baths and one for the girls.

JULY

AUGUST

SEPT.

OCT.

NOV.

= five men

MON.

TUES.

WED.

THURS.

FRI.

SAT.

= 10 vans


6. The Bar chart below represents the favourite subjects of class 6A1.

0

2

4

6

8

10

12

History Maths English Science French Art

(a) How many children chose Mathematics as their favourite subject ?

(b) Which subject was the most popular?

(c) Which subject was the least popular?

(d) Represent this same information in a pictogram.

7. Peter and Rachel did a survey of the colour of cars passing the school gate one lunch hour and

produced the following frequency table.

(a) How many cars passed the school gate altogether?

(b) Which was the most common colour?

(c) Draw a bar chart to show the information?


Handling data (4) Pie Charts 1. A small class of 20 pupils were asked what they had for breakfast. The results are shown in the

table below.

Breakfast frequency

Cornpops 9

Ricecrispies 3

Cornflakes 6

Weetabix 2

Illustrate these results in a pie chart.

2. A box of 60 coloured pencils contains the following numbers of pencils of each colour:

Colour Red Green Blue Yellow Black

Number of Balloons 22 16 7 9 6

Represent this information in a pie chart.

3. The children in a class were asked what pets they owned and the results were placed in the

table below.

Animal Dog Cat Bird Mouse Fish

Frequency 8 10 3 3 6

Illustrate this information in a pie chart.

4. On the way to work, ninety people were asked how they had got into work. The information was

recorded in the table below:

Transport Car Bus Train Taxis Bike Walk

No. of people 30 32 12 8 6 2

Represent this information in a pie chart.

5. Of 90 cars passing the school gates it was recorded that 23 of them had two doors, 49 had four

doors, 10 had three doors and 8 had five doors. Represent this information on a pie chart.


6. This pie chart illustrates the favourite foods of 72 pupils in a

particular year at school.

a) How many pupils had their favourite food as

(i) Burger? (ii) Pizza?

b) What angle represents fish & Chips?

c) What fraction of the students labelled Hot dog as their

favourite food?

d) How many students stated that their favourite food was

pizza?

7. The working population of the town

Pondston is said to be 12 000 people.

This population takes into account a

variety of areas in industry, as shown

on the pie chart drawn opposite.

(a) Using a protractor measure an

record each angle.

(b) What fraction of the pie chart is

taken up by

(i) Building (ii) Transport

(iii) Manufacturing

(c) How many people in this town work in

(i) Building (ii) Transport (iii) Manufacturing

Unemployed

Manufacturing

Service trades

Agriculture

Trade &

Commerce

Building

Transport

Pizza

Fish &

Chips

Hot dog

Burger


Handling Data (5) Vertical line graphs 1. Graham carried out a survey among 100 year 11 students at Castlerock school. He asked each

student how many books they borrowed from the library last month. The results are shown in the

table below.

Books Borrowed by students at Castlerock School.

0

4

4

5

5

1

0

1

4

0

3

2

2

1

4

0

0

3

2

2

1

0

1

1

1

0

5

2

4

0

3

1

1

1

0

1

0

2

2

3

5

4

4

1

0

0

3

1

3

4

2

0

1

5

4

0

2

2

0

3

1

1

5

1

1

0

2

3

3

5

2

0

0

1

2

1

3

3

1

2

2

0

0

1

2

1

1

4

2

0

2

0

0

0

1

1

2

2

1

0

3

0

1

3

0

0

1

1

0

3

a) Represent these results in a tally chart

b) Draw a vertical line graph to show these results.

c) Which number of books is the mode (the most)?

2. The council surveyed the number of people living in every home in Carr road.

The results are shown in the table below.

Number of people per house on Carr road.

2

7

3

6

5

5

3

4

3

4

4

2

1

6

6

2

3

3

5

4

4

5

3

4

8

4

2

10

5

4

3

6

6

6

8

5

4

5

4

2

a) Represent the data in a tally chart

b) Draw a vertical line to represent these results.

c) How many houses are there on Carr road?

d) How many people live on Carr road?

e) What is the mean number of people per house on Carr road?


3.

“Box” matches are advertised to contain an

average of 50 matches per box.

a) how many boxes in the sample contained 50

matches?

b) How many boxes in the sample contained less

than 50 matches?

c) Using this sample, what is the probability that a

box of matches selected at random will contain

50 matches?

4. The class of 7B were asked to count how many items they had in their pockets. The table below

shows their findings.

Represent these finding in a vertical line graph.

5. The vertical line graph shows the results to a

survey of boys shoe size in year 11.

a) Which shoe size is the most common?

b) How many boys took part in the survey?

c) What is the probability of a boy selected at

random wearing a size 5 shoe?

1

2

3

4

5

6

7

Frequency

48 49 50 51 52

NO. OF MATCHES.

NUMBER OF MATCHES IN

25 BOXES OF “BOX” MATCHES

5 6 7 8 9 10

2

4

6

8

10

12

14

Shoe size

Frequency


Handling data (6) Time series graphs 1. At the end of each month Mr Asad receives a bank statement which tells him how much he has

in his account. The table below shows the amount in his account at the end of each month for

the finance year April to March.

Month April May June July Aug. Sept. Oct. Nov. Dec. Jan. Feb. Marc

h

Balance, £ 50 75 95 30 45 80 110 95 15 60 65 80

Draw a graph to represent this data.

2. During the ten school days, before the summer holidays last year, David recorded the outside

temperature at lunchtime and placed the results in the table below.

Day Mon. Tues. Weds. Thurs. Fri. Mon. Tues. Weds. Thurs. Fri.

Temp C 16 18 17 19 24 25 26 27 23 19

Draw a time series graph to represent his results.

3. A small business makes both blank settees and armchairs. Their manager takes a note of the

number of each made over several weeks. Represent this information on a time series graph.

Week ending 1 Aug 8 Aug 15 Aug 22 Aug 29 Aug 5 Sept 12 Sept 19 Sept 26 Sept

Number of

settees

8 15 7 2 3 6 9 12 11

Number of

armchairs

15 27 11 4 4 7 16 20 17

4. A small general convenience store notes its takings at

the end of each day for the last seven days, as shown

on the graph drawn opposite.

a) On which day is the shop closed?

b) Which day, do you think, it is only open in the

morning?

c) Which day is the shop best for takings?

d) How much did this shop take in total for the last

seven days?

M T W Th F Sa Su

1

2

3

Takings

, £00

Day of the week


Handling Data (7) Histograms 1. The heights of all year 11 girls in a particular school were measured, correct to the nearest

centimetre, and their findings are recorded below:

121

137

134

141

126

156

130

135

141

150

124

123

122

154

132

162

154

148

144

146

137

132

124

129

121

120

147

148

158

164

164

166

170

172

145

143

147

165

174

169

170

158

161

168

167

171

148

157

163

137

134

143

153

160

132

122

178

172

166

155

i) How many year 11 girls attended this school?

ii) Record this information in a tally chart using the groupings 120 –130 , 130 –140, 140 –150,

and so on.

iii) Draw a histogram to represent this data.

2. Doctors at a local hospital were so concerned at the length of time patients had to wait in the

waiting room until they were seen by a nurse that the hospital conducted a survey one Monday

evening on the waiting times of patients.

Time (mins) 0 –10 10 –20 20 –30 30 –40 40 –50

Frrequency 3 7 5 9 4

i) Draw a histogram to represent this data.

ii) Which interval of time was the most common?

iii) Give one disadvantage to the method in which the survey was conducted.

3. The table below shows the distribution of the ages of people in the audience of a recent school

concert.

Age (n years) 200 n 4020 n 6040 n 8060 n 10080 n

frequency 12 27 18 7 1

Illustrate these results in a histogram.


4. A travel firm have a brochure advertising package holidays, the varied prices are shown in the

table below:

Cost per person (£) 0 –100 100 –200 200 –300 300 –400 400 –500

Number of holidays 4 7 17 24 31

Represent these findings in a histogram.

5. The students of a private school

were all asked the length of time it

took them to get to school in a

morning. The histogram opposite

shows the findings.

a) How many boys take between

20 and 30 minutes?

b) What is the least possible time

taken by these students?

c) How many boys attended this

school?

d) How many students took less

than 20 minutes?

6. The table below represents the distribution of heights of 125 boys. Represent these results in a

histogram.

Height (cm) 140 –145 145 –150 150 –155 155 –160 160 –165

Frequency 9 37 45 23 11

10 20 30 40

10

20

30

40

Length of Journey (mins)

Frequency


Handling Data (8) Mean and Range 1. Find the mean and range for each of the following sets of numbers:

(a) 1, 3, 7, 8, 11

(b) 8, 8, 10, 14

(c ) 17, 19, 19, 21

(d) 5, 7, 7, 9, 10, 16

(e) 7, 8, 8, 11, 12, 15, 16

(f) 23, 27, 28

(g) 14, 18, 19, 21

(h) 7, 9, 12, 17, 18, 22, 25, 34

(I) 10, 15, 20, 22, 27, 38

(j) 45, 47, 49, 51

(k) 112, 134, 136, 138

(l) 54, 59, 62, 71, 74

(m) 78, 79, 80, 81, 82, 86

(n) 112, 156, 218

(o) 506, 513, 600, 617

(p) 76, 9, 35, 54, 136

(q) 63, 45, 52, 68, 73, 71

(r ) 85, 99, 75, 46, 8, 102, 117

(s) 1, 2, 3, 4, 5, 6, 7, 8, 9

(t) 34, 35, 36, 37, 38, 39, 40, 41, 42

2. Mohsin Claims that he is better at Maths than Umar. Mohsin’s last five marks out of 20 were 18,

15, 9, 4 and 14 and Umar’s last five test marks were 1, 9, 19, 14 and 17.

Find the mean mark for Mohsin and Umar. Is Mohsin better than Umar, give a reason for your

answer.

3. In six innings at cricket David makes the following scores:

34, 102, 54, 100, 0 and 64 runs.

Find his average score.

4. Over the past term Jane has sat five Maths tests and Six English tests. Her marks in Maths

were 79, 68, 59, 73 and 31. While in English her marks were 19, 90, 78, 56, 49 and 86.

Work out her mean mark for the Maths tests and her mean mark for the English tests.

Work out the range for each subject.

Which is Jane’s strongest subject, give a reason for your answer.


Handling Data (9) Likelihood 1. Consider the following events:

A A new baby will be a boy.

B It will rain tomorrow.

C I shall be a millionaire some day.

D Ed sheeran will reach number one in the charts with their next single.

E A thrown die will land on a three.

F This homework will be handed in on the next Mathematics lesson.

G Homework will be set the next time I have Mathematics.

H I will be 20 tomorrow.

I There will be a fire drill tomorrow.

J The top card of a shuffled pack of cards will be a heart.

Now place the appropriate letter on the following “scale of certainty”, making intelligent guesses

as you have to.

2. Rachel drops a bag which contains a shoe, a thermos flask, a glass, a calculator and a plastic

ruler.

They fall onto the gym floor which is wooden.

(a) Using the likelihood scale below, determine how likely each item is to break. {The glass has

already been placed on for you}

(b) Explain why it is sensible to place the glass so far along the line.

(c) Explain how you decided to place the ruler where you did.

IMPOSSIBLE EVEN

CHANCE

CERTAIN

LESS LIKELY MORE LIKELY


Handling Data (10) Possible outcomes How many possible outcomes are there for the following experiments?

Write down a list of all the possible outcomes in each case.

1. Throwing a 5 pence coin.

2. Throwing a die.

3. Choosing a letter from the word MATHEMATICS”

4. Choosing a number from the first ten whole numbers.

5. Picking a prime number from the list of numbers {11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

6. Picking a vowel from the alphabet.

7. Taking a crayon from a box which contain 2 red, 1 yellow, 3 green and 1 blue crayon.

8. Choosing a card from the set of Aces, Jacks Queens and Kings.

9. Choosing a consonant from the word MISSISSIPPI.

10. Picking at random an even number on a roulette wheel {the numbers on a roulette wheel are

from 0 to 35 inclusive}


Handling data (11) Probability of a single event 1. (a) If something is certain, what is its probability?

(b) If something is impossible, what is its probability?

2. (a) How many numbers are there on a normal die?

(b) How many of those numbers are less than 3?

(c) What is the probability of getting a number less than 3 when a normal die is rolled?

3. (a) How many cards are there in a pack?

(b) How many kings are there in a pack?

(c) What is the probability of drawing a king from a pack of cards?

4. (a) How many counters are there in a bag which contains 3 white, 2 red and 5 blue counters.

(b) How many ways are there of selecting a red at random from the bag?

(c) What is the probability of selecting a red counter from the bag?

5. A bag contains ten identical cards numbered from 1 to 10. A card is drawn from the bag at

random. Obtain the probability of each of the following events:

a) The number is “even”

b) The number is “not less than 5”

c) The number is “exactly divisible by 3”

d) The number is a “factor of 10”

6. The letters of the word “MATHEMATICS” are printed on identical pieces of card

and placed into a box. A card is then selected at random from the box. Obtain the

probability that the letter drawn is:

(a) the letter S. (b) the letter A (c) a consonant.

7. An ordinary pack of playing cards are shuffled and the top card is picked. What is the

probability of the card picked being

(a) a king (b) a club (c) the King of Clubs (d) a face card

(e) not a spade (f) a red card (g) a number card between 2 and 5 inclusive?

8. The letters of the alphabet are printed onto pieces of card and placed into a bag. One card is

then selected at random. Assuming that the pieces of card are identical in size, what is the

probability of selecting:

(a) a vowel, (b) a letter before H, (c) a letter between E and M?

S J Cooper

9. On the next Saturday Lottery draw what is the probability that the first ball drawn is

(a) ball 9, (b) an even number, (c) a multiple of 5, (d) a multiple of 3

(e) a multiple of both 3 and 5, (f) a number bigger than 30 (g) a factor of 30?

10. A school raffle is held for which 150 tickets are sold. If the Headmaster bought 5 tickets, what

is the probability

(a) that the headmaster will win first prize?

(b) That the headmaster will not win first prize?

S J Cooper

Handling Data (12) Probability 1. 7AF consists of 18 boys and 13 girls. The form tutor must

select a form representative and decides to do this at random.

(a) How many pupils are there in 7AF?

(b) What is the probability that the pupil chosen is a boy?

2. Abdul and Rachel did a survey of types of vehicles passing the school gates one lunch time

and produced the following table.

Type of Vehicle Bicycle Motorbike Car Lorry

Frequency 4 12 15 9

(a) How many vehicles passed the school gate altogether?

(b) Based on this evidence, what is the probability that the next vehicle to pass the school gate

is (i) a lorry (ii) not a car?

3. I bought a pucket of cucumber seeds and sowed ten seeds. Only seven germinated. On this

evidence, what is the probability that the next seed I sow will germinate?

4. In the local general hospital there were 1500 male births and 2400 female

births last year. On this evidence what is the probability that the first birth this

year at the general hospital will be a girl?

5. In a general election in Nelson and Colne, 42000 voted Labour, 12500 voted Conservative,

9400 voted Liberal and 600 voted for other parties. On this evidence, what is the probability

that a Nelson or Colne voter selected at random voted for Conservative?

6. The table below shows the results for 60 girls on their favourite Pop Groups

Pop Group Number of Girls

5 seconds of

summer 14

The Vamps 18

One Direction 23

Coldplay 5

A pupil is selected at random to sing in the next concert. Based on this evidence what is the

probability that her favourite pop group is (a) One Direction (b) Coldplay?

S J Cooper

Handling Data (13) Probability Sample Spaces 1. A coin is tossed and a die is rolled at the same time.

(a) Draw a sample space diagram to show all the possible outcomes.

(b) What is the probability that

(i) the coin lands heads up and the die lands on a six?

(ii) An even number is obtained on the die with the coin showing Tails?

2. Two dice are thrown together.

(a) Draw up a table to show a list of all possible outcomes.

(b) What is the probability of throwing:

(i) a total greater than 8,

(ii) a double,

(iii) a total which is an odd number,

(iv) a total which is exactly divisible by 3?

3. Pupils in year 7 had to design a Logo using any two shapes. John’s

design is shown opposite.

Next he had to paint his logo and had a choice of 4 colours: Red,

Green, Yellow or Blue. John could not decide which colours to use and

so picked at random one colour from the four for his top shape and

again one colour from the four for his second shape.

(a) Draw up a table of all possible outcomes for John’s Logo.

(b) What is the probability of picking yellow for the first shape and red for the second shape?

(c) What is the probability of picking the same colour for the complete logo?

(d) What is the probability that one shape will be red and the other green?

4. One bag contains 5 counters where 3 are black and 2 are white. A second bag contains 4

counters where 3 are white and 1 is black. A counter is selected, at random, from each bag.

(a) List all the possible outcomes for the two selected counters.

(b) What is the probability of selecting

(i) two black counters

(ii) one black counter and one white counter?

S J Cooper

5. Asif and Joanne are playing a game called “Paper, scissors and Rock”. Each person places a

hand behind their back and after a count of five shows their hand in the shape of either paper,

scissors or a rock. The winner depends on rock beats scissors, scissors beats paper and paper

beats rock. If they both show the same shape then it’s a draw.

(a) Draw up a table to show a list of all the possible outcomes when Asif and Joanne play.

(b) What is the probability that

(i) Asif shows paper and Joanne shows a rock,

(ii) They both show the same shape,

(iii) Asif wins?

6. The four Aces and the four twos are taken from an ordinary pack of playing cards and placed

into two piles. A card is selected at random from the set of four Aces and one from the set of

four Twos.

(a) Draw a sample space diagram for the possible combinations of the two cards.

(b) What is the probability that the two cards are

(i) both clubs,

(ii) both red,

(iii) both of the same suit?

S J Cooper

Handling Data (14) Conversions 1. Using the graph to convert pounds sterling (£) 4 into the Euro

(i) How many Euros will you get for

a) £3 b) £7

c) £9 d) £4.50

e) 8.20

(ii) How many pounds will

you get for

a) 3 euros b) 5 euros

c) 7 euros d) 11 euros

e) 30 euros

2. (a) Using £1 $1.40 (USA) , find in dollars (i) £2 (ii) £10

(b) Draw and label a set of axes from £0 up to £15 and $0 up to $20

(c) Using your answers in (a) draw the conversion graph of £ to $.

(d) Use your graph to find (ii) £3 in $

(ii) £8 in $

(iii) $4 in £

(iv) $7 in £

(v) £13.20 in $

(vi) $18.50 in £

3. (a) Using 1kg 2.2 lb (pounds) find the equivalent weight in pounds of (i) 10 kg (ii) 40 kg

(b) Draw a conversion graph for kg into lb using the horizontal line as kg from 0 kg to 50 kg.

(c) Use your conversion graph to find (ii) 5kg in pounds

(ii) 8kg in pounds

(iii) 6 lb in kg

(iv) 10 lb in kg

(v) 32kg in pounds

(vi) 48 lb in kg

0 2 4 6 8 10

5

10

15

20

£

Euros

S J Cooper

4. Miss Lockton is using an old recipe book to make chocolate eclairs but her scales are

graduated in grams and kilograms. Convert the weights of the ingredients given in the recipe

so that she can weigh the correct amounts on her scales.

Chocolate Eclairs

2 ounce of butter

3 ounce of plain flour

2 eggs

7 ounces of potted cream

1 ounces of plain chocolate

4 ounces of icing sugar

1 table spoon of black coffee

5. The table shown below represents the conversion between litres and gallons.

Gallons 0 1 2 10

Litres 0 4.5 9 45

(a) In your book draw a conversion graph to represent this conversion

(b) Use your graph to convert into litres (i) 5 gallons (ii) 7 gallons (iii) 3.5

gallons

(c) Use your graph to convert into gallons (i) 5 litres (ii) 35 litres (iii) 11 litres

1 2 3 4 5 6 7 8 0

50

100

150

200

250

Grams

Ounces

S J Cooper

Handling Data (15) Flowcharts 1. For each of the following flowcharts complete five trials and make a conclusion.

(a) (b) (c) (d)

(e) (f) (g)

2. For each of the following flow diagrams complete five trials.

a)

b)

Input a

number x 2 –1 Output

Input a

number x 3 + 4 Output

S J Cooper

c)

d)

e)

f)

g)

Input a

number 2 –1 Output

Input a

number 4 +1 Output

Input a

number x 10 –1 Output

Input a

number x 5 + 9 Output

Input a

two digit

number

Reverse the

digits to give a

second number

Add the

original

number

Output

Mathematics - PBworksbtrcc.pbworks.com/w/file/fetch/107110347/Stage 2 Handling...Handling Data (1)...

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