guaranteed to make your brain blue some effort and grow ...guaranteed to make your brain grow, just...
TRANSCRIPT
Blue
6
The wee
Maths Book of Big Brain
Growth
Percentages, Tables and Graphs
Grow your brain
Guaranteed to
make your brain
grow, just add
some effort and
hard work
Don’t be afraid if
you don’t know
how to do it, yet!
It’s not how fast
you finish, but that
you finish.
It’s always better
to try something
than to try nothing.
Don’t be worried
about getting it
wrong, getting it
wrong is just part
of the process
known better as
learning.
Page | 2
Tips for Parents #6
Your child should be able to experiment with Maths safe in
the knowledge that they can learn from their mistakes
1. Encourage your child to always attempt tasks, even when there is
a risk of making a mistake.
2. Making mistakes is a natural part of the learning process.
You child should feel safe to experiment with their Maths safe in
the knowledge that they can learn from their mistakes.
3. The power of yet!
If you child says “I don’t get it” this has the sound of permanence –
and they might never get it.
If your child says “I don’t get it yet” they open themselves up to a
future where they will be able to do it.
Page | 3
Percentages (MNU 4-07a)
N25f I can compare quantities given in different formats.
Revision
Write each of the following vulgar fractions in their simplest form.
(a) 𝟐𝟒
𝟏𝟎𝟎 (b)
𝟏𝟐𝟎
𝟏𝟎𝟎 (c)
𝟏∙𝟐
𝟏𝟎𝟎
(d) 𝟏𝟖
𝟏𝟎𝟎 (e)
𝟐𝟐𝟎
𝟏𝟎𝟎 (f)
𝟓∙𝟒
𝟏𝟎𝟎
(g) 𝟑𝟓
𝟏𝟎𝟎 (h)
𝟐𝟓𝟎
𝟏𝟎𝟎 (i)
𝟐∙𝟓
𝟏𝟎𝟎
Page | 4
1. Write each as a vulgar fraction (in its simplest form) and a decimal
fraction.
(a) 13% (b) 24% (c) 99%
(d) 120% (e) 2∙5% (f) 11∙9%
2. Write each as a vulgar fraction (in its simplest form) and a decimal
fraction.
(a) 11% (b) 32% (c) 88%
(d) 210% (e) 14∙5% (f) 6∙5%
3. Write each as a vulgar fraction (in its simplest form) and a decimal
fraction.
(a) 37% (b) 19% (c) 44%
(d) 64% (e) 4∙2% (f) 15∙9%
4. Complete Worksheet 1
Use your understanding of rounding to express your answers to an
appropriate degree of accuracy.
5. Use your worksheet to help you write down the percentages
equivalent to the following vulgar fractions
(a) 𝟑
𝟒 (b)
𝟒
𝟓 (c)
𝟑
𝟕
(d) 𝟕
𝟖 (e)
𝟒
𝟗 (f)
𝟕
𝟗
Page | 5
6. Use your worksheet to help you write down the decimal fraction
equivalent to the following vulgar fractions
(a) 𝟐
𝟑 (b)
𝟐
𝟓 (c)
𝟓
𝟔
(d) 𝟓
𝟕 (e)
𝟑
𝟖 (f)
𝟐
𝟗
7. Change each vulgar fraction into a decimal fraction
and a percentage (calculator allowed).
(a) 𝟏𝟖
𝟏𝟎𝟎 (b)
𝟒
𝟓 (c)
𝟕
𝟏𝟎
(d) 𝟏𝟕
𝟐𝟓 (e)
𝟏𝟗
𝟐𝟎 (f)
𝟏
𝟒
(g) 𝟒𝟗
𝟓𝟎 (h)
𝟓
𝟖 (i)
𝟐𝟕
𝟒𝟎
(j) 𝟔
𝟕𝟓 (k)
𝟏𝟐
𝟖 (l)
𝟓𝟎
𝟒𝟎
8. Find the percentage equivalent to each of the following vulgar
fractions (calculator allowed).
Give your answer to one decimal place and show your working clearly.
(a) 𝟗
𝟏𝟏 (b)
𝟕
𝟏𝟑 (c)
𝟏𝟏
𝟏𝟓
(d) 𝟏
𝟑 (e)
𝟏𝟑
𝟑𝟎 (f)
𝟖𝟕
𝟗𝟎
(g) 𝟓
𝟖 (h)
𝟑𝟕
𝟒𝟎 (i)
𝟏
𝟔𝟔
Page | 6
9. Write each decimal as a percentage and a vulgar fraction in its
simplest form.
(a) 𝟎 ∙ 𝟐 (b) 𝟎 ∙ 𝟑𝟓 (c) 𝟎 ∙ 𝟐𝟒
(d) 𝟎 ∙ 𝟎𝟖 (e) 𝟎 ∙ 𝟎𝟓 (f) 𝟏 ∙ 𝟒
10. Write each decimal as a percentage and a vulgar fraction in its
simplest form.
(a) 𝟎 ∙ 𝟑 (b) 𝟎 ∙ 𝟓𝟓 (c) 𝟎 ∙ 𝟑𝟔
(d) 𝟎 ∙ 𝟎𝟔 (e) 𝟎 ∙ 𝟎𝟕 (f) 𝟏 ∙ 𝟖
11. Write each decimal as a percentage and a vulgar fraction in its
simplest form.
(a) 𝟎 ∙ 𝟓 (b) 𝟎 ∙ 𝟒𝟓 (c) 𝟎 ∙ 𝟒𝟐
(d) 𝟎 ∙ 𝟎𝟗 (e) 𝟎 ∙ 𝟎𝟐 (f) 𝟐 ∙ 𝟒
12. Look at the newspaper headlines below.
For each headline state whether the comparison is accurate.
Justify your answer.
(a) 36% of drug users experience homelessness.
Nearly 2 in every 5 drug users!
Page | 7
(b) 47% of violent incidents Involve alcohol.
Over half!
(c) 92% of Modern Apprentices stay in work once they’re qualified.
More than 9 out of every 10!
(d) Those who visited the theatre were 24% more likely to report
good health than those who did not attend the theatre in the
previous 12 months.
That’s nearly one in every four!
(e) Those who participated in dance were 62% more likely to report
good health than those who did not participate in dance.
Over two thirds!
(f) Those who attended a cultural place or event were over 59%
more likely to have reported good health compared to those who
did not attend any cultural place or event. Nearly three in every
five!
Page | 8
N26t I can find a percentage of a quantity involving at most
4 digits (Non Calculator).
Section A – When the percentage is a single digit.
1. At a comedy show 4% of the audience buy a
programme.
If 1500 attend the show, how many buy a
programme?
2. A bottle of iodine solution contains 7% iodine by volume.
What volume of iodine is there in a 500ml bottle?
3. A restaurant increases its prices by 3%.
How much will the increase be on a steak which cost £22∙50 before
the increase?
4. An extension on a house increases the floor area by 9%.
If the floor area was 200m2, calculate the increase?
5. A brand of cereal is usually sold in 700g
packs.
During a special promotion and extra 5%
is added to each box.
How much extra is added to the pack?
Page | 9
Section B – When the percentage is a multiple of ten
6. A travel firm offers a discount of 40% off the full price of package
holiday.
The full price of the package holiday is £760.
How much is the discount?
7. A metal alloy contains 90% pure gold.
How much gold is there in 270g of the alloy?
8. A hotel in Glasgow offers 70% off the full price of a weekend break.
How much is this saving if the full price of a weekend break is £350.
9. A new TV costs £375.
You must pay 30% deposit.
How much is the deposit?
10. Joanne’s car insurance is reduced by 60% because she has not made a
claim.
The normal cost of her insurance is £420.
How much is Joanne’s reduction?
Page | 10
Section C – When the percentage is 15%
11. A salesperson is paid commission of 15% of her weekly sales.
How much will her commission be in a week when her sales total
£800?
12. Sandy earns £420 a week and receives a 15% pay rise after a
promotion.
How much was his pay rise?
13. An Iyonix PC is normally sold for £1200.
It is reduced by 15%.
Calculate the reduction?
14. Kenny has £3200 in a savings
account.
He earns a bonus of 15% is he keeps
the money in the account for 5
years. Calculate the bonus.
15. On my sister's 15th birthday, she was 159 cm in height.
By the time she was 18 she had grown by 15%.
Calculate the increase in her height.
Page | 11
Section D – When the percentage can be converted to a simple
percentage
16. In a sale a shop reduces all its prices by 331
3%.
I want to buy a hat which, before the price rise, cost £15 and a pair of
shoes which cost £25.
How much will I save in the sale?
17. There are 130 people living on Albert Square and 50% are women.
How many are women live in Albert Square?
18. 1200 people go to a football match and 662
3% stay until the final
whistle.
How many fans are still at the game for the final whistle?
19. The original price of a coffee machine
was £700.
The shop reduced the price by 10%,
and then cut the reduced price by 20%.
What does the machine now cost?
20. Jim bought a cat for £60.
Later he sold the cat and made a 75% profit.
How much money did he receive for the cat?
Page | 12
N27t I can calculate percentage increase and decrease.
Calculator allowed
1. A new luxury villa in Florida
is valued at $375000. It is
expected to rise in value by
11∙7% during its first year.
What will the value of the
villa be at the end of the
first year?
2. Mrs Dodds buys a new car for £25000.
It depreciates in value by 7∙2% during its first year.
How much will Mrs Dodds car be worth at the end of the first year?
3. Jorge buys a new house for £80 000. The value of the house
depreciates by 8∙7% in the first year.
How much would his house be worth at the end of the first year?
4. Company shares worth £1,200 depreciate over a month by 1∙2%.
How much were the shares worth at the end of the month?
5. The Pollards bought a bungalow for £110,000.
It appreciated in value by 3∙8% in first year.
How much was the bungalow worth at the end of the first year?
Page | 13
N28f I can express one quantity as a percentage of another.
Calculator allowed
1. Alan scored 28 out of 40 in a Maths test.
What was his percentage score?
2. The Head of First Year knows there are 300 pupils in the year group.
160 of them are girls.
What percentage are boys?
3. In the 2011-2012 season Lionel Messi scored 73 of the 190 goals scored
by Barcelona.
What percentage of Barcelona’s total goals Lionel Messi score?
Give your answer to 1 decimal place.
4. Jamie bought a new car for £18000 in 2009 and sold it for £8000
three years later.
Calculate the depreciation, and
express it as a percentage of the cost
when new?
Give your answer to 1 decimal place.
5. Last year Sally was paid £20 per hour.
This year she gets £22.50 per hour.
Calculate her percentage increase in pay.
Page | 14
0
10
20
30
40
50
60
70
1960 1970 1980 1990 2000 2010
Lif
e e
xpecta
nce f
rom
bir
th (
years
)
Year of birth
Life expectancy (Kenya)
Female Male
Tables and Graphs (MTH 4-20)
D3t I can display and analyse discrete data
1. The graph below displays information on life expectancy from birth in
Kenya.
(a) Describe the trend in life expectancy from birth between 1960
and 2010.
(b) Kenya is in East Africa.
This area has been the subjected
to drought and famine.
In 1999/2000 famine affected
close to 4∙4 million Kenyans.
What effect did this have on life
expectancy?
Explain your answer
Page | 15
2. Life expectancy is the number of years the average person will live
from birth.
Sourced from the National Records of
Scotland, the figures in the following
table are the life expectancy for
babies born on the given year in
Scotland.
Year of Birth
Life
Expectancy
(male)
Life
Expectancy
(female)
1861 40 44
1891 45 47
1921 53 56
1951 64 69
1981 69 75
2011 77 81
(a) Use the table to complete the bar graph, on Worksheet 2, which
compares male life expectancy and female life expectance for
the years given.
(b) Describe the trend in life expectancy for male births from 1861 to
2011.
(c) Describe the trend in life expectance for female births from 1861
to 2011.
(d) Compare the life expectancy of males with life expectancy of
females from 1861 to 2011.
Page | 16
0
100
200
300
400
500
600
1850 1900 1950 2000
Num
ber
of
Bir
ths
Year
Birth in Aberloch
Male Female
3. Aberloch is a small Scottish town.
The number of births each year in Aberloch has been recorded since
1850.
The graph below illustrates this information for 4 selected years.
(a) Describe the trend in the total number of births from 1850 to
2000.
(b) The birth rate was higher in 1850 than in 2000.
However, the population of Aberloch was higher in 2000 than
1850.
Using information from question 2, give a possible reason for this
surprising fact.
Page | 17
4. The figures in the following table are
the number of births in Scotland, to
the nearest thousand, for 4 selected
years.
Source: the National Records of Scotland,
(a) Use the table to complete the stacked bar graph, on
Worksheet 3, which compares the total number of births each
year separated into male births and female births.
(b) Describe the trend in the total number of births from 1890 to
2010.
Year Number of
Male Births
Number of
Female Births
1890 62000 59000
1930 48000 46000
1970 45000 42000
2010 30000 29000
Page | 18
5. The number of full time Scottish students, to the nearest 100, living
away from home during term time for selected age groups is given
below.
Age Range Male students Female
Students
18 to 19 6500 8000
20 to 21 6000 7500
22 to 24 3000 3000
25 and over 900 700
(a) Use the table to construct a bar graph, on Worksheet 4, which
compares the number of male students in each age group with
the number of female students.
(b) Use the table to construct a stacked bar graph, on Worksheet 5,
which compares the total number of students, separated into
male students and female students, in each age group.
(c) Describe the trend in the total number of students across the age
groups. Which of the two graphs (a) or (b) is most suited to
illustrating this trend.
(d) Compare the number of male students against the number of
female students across the age groups. Which of the two graphs
(a) or (b) is most suited to this comparison.
Page | 19
6. The figures in the following table are the number of divorces in
Scotland, to the nearest hundred, for 7 selected years.
Year Number of
Divorces
1950 2200
1960 1800
1970 4600
1980 10500
1990 12200
2000 11100
2010 10100
Source: The National Records of Scotland
(a) Use the table to complete the line graph on Worksheet 6.
(b) Describe the trend in the number of divorces from 1950 to 2010.
(c) A newspaper headline read “The number of divorces more than
doubled through the seventies”.
Is this headline truthful?
Justify your answer.
Page | 20
0
100
200
300
400
500
600
700
800
900
2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013
FATALITIES
YEAR
ROAD FATALITIES - GREAT BRITAIN
Pedestrian Pedal Cyclist
7. The line below illustrates the numbers of fatalities on British roads
from 2000 to 2013.
(a) What was the number of pedestrian fatalities in 2003?
(b) What was the number of cyclist fatalities in 2002?
(c) Describe the trend in pedestrian fatalities and compare it against
the trend in pedal cyclist fatalities between 2000 and 2013.
Page | 21
8. The data for the number of
fatal accidents in the United
Kingdom involving drink driving
are shown in the table below.
The data is from the
Department of Transport and
was compiled over an eight-
year period between 2007 and
2014.
(a) On a fresh page in your jotter, set to landscape, draw a vertical
Number of Fatal Accidents axis using the following guidance
Min 0, Max 400, grid step 20, number step 100.
(b) Draw a horizontal Year axis using the following guidance
Min 2007, Max 2014 with 4 boxes between years.
(c) Plot the points to illustrate the information in the table and join
the points using straight lines.
(d) The Government’s policy in this time has been to “clamp down”
on drink driving.
Is the policy working?
Give a reason for your answer.
Year 2007 2008 2009 2010 2011 2012 2013 2014
Number of Fatal Accidents
370 350 340 220 220 210 230 210
Page | 22
9. Eva, a pupil studying Higher Maths failed
her first portfolio test.
She decided she wasn’t working hard enough so started attending
supported study, and completed more questions at home, on a regular
basis.
Her portfolio test results are shown below:
(a) On a fresh page in your jotter, set to landscape, draw a vertical
Percentage axis using the following guidance
Min 20, Max 100, grid step 5, number step 10.
(b) Draw a horizontal Test Number axis using the following guidance
Min 1, Max 8 with 4 boxes between test numbers.
(c) Plot the points to illustrate the information in the table and join
the points using straight lines.
(d) Do you think the new study plan has helped her marks?
Give a reason for your answer.
Test Number 1 2 3 4 5 6 7 8
Percentage 24 70 53 55 53 60 91 82
Page | 23
10. The met office published
the UK mean
temperature (℃) for each
month in 2015.
(a) On a fresh page in your jotter, set to landscape, draw a vertical
Temperature axis using the following guidance
Min 0℃, Max 16℃, grid step 1, number step 2.
(b) Draw a horizontal Month axis using the following guidance
From Jan to Dec with 2 boxes between months.
(c) Plot the points to illustrate the information in the table and join
the points using straight lines.
(d) Between which two months did the mean temperature drop the
most?
Month Jan Feb Mar Apr May Jun
Temp 3.7 3.5 5.5 7.9 9.6 12.7
Month Jul Aug Sep Oct Nov Dec
Temp 14.4 14.7 11.9 10.0 8.2 7.9
Page | 24
D4t I can display and analyse continuous data
11. A pan of water is brought to the boil.
Once boiled it is removed from the heat
and allowed to gradually cool.
The temperature of the water was recorded every three minutes and
the results were recorded in the table shown below:
(a) On a fresh page in your jotter, set to landscape, draw a vertical
Temperature axis (℃) using the following guidance
Min 0℃, Max 100℃, grid step 5℃, number step 20℃.
(b) Draw a horizontal Time axis (mins) using the following guidance
Min 0 mins, Max 30 mins, grid step 1∙5 mins, number step 6 mins.
(c) Plot the points on your axes and join the points using a smooth
curve.
Time (mins) Temp (℃)
0 100
3 86
6 72
9 61
12 54
15 48
18 44
21 40
24 37
27 34
30 33
Page | 25
12. An experiment was conducted
measuring the average radius of
lettuce leaves taken from thirty-six
plants.
The measurements were taken every
two days and the data was recorded
in the table shown below:
(a) On a fresh page in your jotter, set to portrait, draw a vertical
Leaf Radius axis (mm) using the following guidance
Min 0, Max 120, grid step 5, number step 20.
(b) Draw a horizontal Day Number axis using the following guidance
Min 0, Max 26 mins, grid step 1, number step 4.
(c) Plot the points on your axes and join the points using a smooth
curve.
Day Number Leaf Radius (mm)
2 26
4 32
6 38
8 47
10 55
12 67
14 82
16 93
18 104
Page | 26
13. A Physics student performs an
experiment to investigate how the
length of a pendulum affects how
long it will take to make one
complete swing back and forth (The
Period).
She obtains the following data.
(a) On a fresh page in your jotter, set to portrait, draw a vertical
Time axis using the following guidance
Min 0, Max 2·8, grid step 0·1, number step 0·4.
(b) Draw a horizontal Length axis using the following guidance
Min 0, Max 2·8, grid step 0·2, number step 0·4.
(c) Plot the points on your axes and join the points using a smooth
line.
(d) Use your graph to estimate how long the swing would be for a
pendulum which measures 0·8 metres.
Length (metres) Time (seconds)
0∙1 0∙6
0∙3 1∙1
0∙5 1∙4
1∙0 2∙0
1∙5 2∙4
2∙0 2∙6
2∙5 2∙8
Page | 27
14. A Biology student investigates the
average number of bubbles
produced per minute by a plant in
various depths of water.
He obtains the following results.
(a) On a fresh page in your jotter, set to portrait, draw a vertical
Bubbles per Minute axis using the following guidance
Min 0, Max 50, grid step 2, number step 10.
(b) Draw a horizontal Depth axis using the following guidance
Min 0, Max 40, grid step 2, number step 10.
(c) Plot the points on your axes and join the points using a smooth
line.
(d) Describe the trend in the number of bubbles produced as the
depth increases.
Depth (metres) Bubbles per minute
2 29
5 36
10 45
16 32
25 20
30 10
37 8
Page | 28
15. A chemistry student performs an
experiment to examine the solubility
of CO2 in water and collects the
following data.
(a) Draw a vertical Solubility axis using the following guidance
Min 0, Max 0·4, grid step 0·02, number step 0·1.
(b) Draw a horizontal Temperature axis using the following guidance
Min 0, Max 60, grid step 2∙5, number step 10.
(c) Plot the points on your axes and join the points using a smooth
line.
(d) Describe what happens to the solubility as the temperature
increases.
Temp (℃) Solubility (g/100ml)
0 0∙33
10 0∙24
20 0∙17
30 0∙13
40 0∙1
50 0∙08
60 0∙06
Page | 29
D5t I can display and analyse Stem and Leaf Diagrams
1. In an experiment in Social Subjects, 1C3 measured the rainfall in East
Kilbride each week for 16 weeks.
The stem-and-leaf diagram illustrates the results.
Rainfall each week
(a) Write down the values of the maximum and minimum rainfall in
one week.
(b) Calculate the total rainfall over the 16 weeks.
(c) Calculate the average (mean) rainfall per week over the 16
weeks.
A school in Balarup, Denmark, carried out the same experiment.
The results are shown below.
19 18 20 25 37 33 21 17
29 20 42 18 23 37 22 14
(d) Complete a stem and leaf diagram to illustrate these results.
Page | 30
2. Pupils in 1P1 are sampling the number of buttercups in meadows in
East Kilbride using quadrats.
In one meadow, they used 12 quadrats.
The results are shown in the stem and leaf diagram below.
Number of buttercups
(a) Write down the total number of buttercups recorded.
(b) Find the average (mean) number of buttercups over all 12
quadrants.
Another class, 1P2 used 16 quadrats to sample the number of
buttercups in their allocated meadow.
The numbers of buttercups in each quadrat are given below.
4 32 17 32 29 18 29 28
19 36 14 22 24 27 13 25
(c) Draw a stem and leaf diagram to illustrate these results.
Page | 31
3. First Year pupils take part in a gymnastic performance in PE.
Each pupil calculates the difficulty of their routine.
The stem and leaf below shows the results for the girls in 1T1.
Gymnastic Performance Difficulty 1T1
𝑛 = 14 20/7 means 20∙7
(a) Write down the total of all the values of difficulty for the girls in
1T1.
(b) Find the average (mean) value of difficulty for the girls in 1T1.
The scores for the boys in 1T1 are given below
23∙7 22∙8 22∙9 19∙8 20∙6 20∙3 22∙5 21∙5
19∙4 19∙2 23∙1 21∙0 21∙2 21∙6 20∙0 19∙5
(c) Illustrate the data for the boys in 1T1 in a stem and leaf diagram.
Page | 32
4. 1P3 are baking apple pie in HE.
Each pupil in the class is given an apple to weigh.
The stem and leaf below illustrates the results.
Weight of apple
(a) Write out the weights of the apples in order from minimum to
maximum.
The weights of the apples for 1P4 are given below
140 181 178 183 168 149 165 172 181
175 179 181 169 187 176 141 167 173
(b) Illustrate the data for 1P4 in an ordered stem and leaf diagram.
Page | 33
5. As part of a drink awareness project in PSHE, Pupils in 1C1 calculated
the number of alcoholic units in 25 different 500ml cans of beverage.
The stem and leaf diagram below illustrates the results.
Number of units of alcohol
(a) How many non-alcoholic drinks were sampled?
(b) On average, men and women should drink no more than 2 units of
alcohol per day.
Of the 25 cans samples, how many beverages break this guidance
in just one can?
1C2 carried out a similar study.
The numbers of alcoholic units, in 16 beverages tested, are shown
below.
0∙5 1∙0 1∙5 1∙2 0∙8 0∙7 2∙0 3∙5
2∙4 2∙0 3∙3 2∙4 1∙0 0∙8 1∙6 1∙0
(c) Use the data for 1C2 to draw a stem and leaf diagram.
Page | 34
6. 1T2 are studying climate in Geography.
Look at the back-to-back stem and leaf diagram below.
(a) Write down the minimum and maximum average monthly
temperature for both cities.
(b) Which city is likely to be closer to the equator?
Give a reason for your answer.
Below are the average monthly temperatures (℃) for two more cities.
City C 13 17 22 28 29 27 25 22
22 21 18 15 12 9 8 8
City D 21 23 27 27 32 34 38 35
32 28 26 24 21 19 18 20
(c) Illustrate this data in an ordered back-to-back stem and leaf
diagram.
Page | 35
7. The pupils in a Maths class have their heights measured.
The stem and leaf diagram below illustrates the results, separated
into boys and girls.
(a) Compare the heights of the boys and the girls in 1S1.
Explain your answer with reference to the diagram.
Another Maths class also have their heights measured.
The results, in centimetres, are shown below.
Girls 137 129 133 121 117 129
138 142 123 137 139 154
Boys 121 133 127 127 132 134 138
132 148 126 134 131 129 148
(b) Construct and back-to-back stem and leaf diagram to illustrate
these results.
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8. ABC logistics deliver parcels bought on the internet.
Ben and Eva are two drivers who work for ABC logistics.
The delivery sheets one morning, for Ben and Eva, are shown below.
Construct and back-to-back stem and leaf diagram to illustrate and
compare the weights of the parcels delivered by Ben and Eva this day.
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D6t I can display data in a Pie Chart
1. The table below shows the average attendance at Scottish Premier
League games expressed as a percentage of the total average
attendance.
Use the table to complete the pie chart on worksheet 6.
2. The table below show the results of a school survey on the genre of
Music streamed by staff and pupils.
Use the table to complete the pie chart on worksheet 7.
Celtic Rangers Hearts Aberdeen Others
34% 30% 10% 8% 18%
Rock Pop Dance/EDM R&B/HH Others
29% 15% 3% 17% 35%
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3. The nutritional information of a slice of bread is given in the table
below.
(a) Write down each nutrient as a percentage of the serving size.
(b) Use the table to complete the pie chart on worksheet 8.
4. The nutritional information of a burger is given in the table below.
(a) Write down each nutrient as a percentage of the serving size.
(b) Use the table to complete the pie chart on worksheet 9.
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A well nurtured and emotionally healthy pupil will know that
they can improve their brain power through regularly applying
themselves to his/her studies in class and by completing all of
the tasks in this booklet.
He/she will feel more included, respected and will develop greater levels of
responsibility if you regularly discuss with them their progress, both progress
in class and progress through this booklet.
You will encourage him/her to be a passive learner and intellectually lazy if
you show them how to attempt every question. Encourage them to think for
themselves. Your child will achieve more if they actively experiment with
the questions in this booklet, safe in the knowledge that they can learn from
any mistakes made.
Tips for Parents
1. Talk to your child on a regular basis about the work they are
attempting in Mathematics.
2. Give praise for appropriate effort and resilience, and avoid praise
which uses the words clever or smart.
3. Talk about your child's brain power improving through hard work
and not being something that is fixed.
4. Mistakes are part of the learning process. Your child should be able
to experiment with Maths safe in the knowledge that they can learn
from their mistakes.
5. Talk about your child’s progress in a way which emphasises their
own ability to influence a positive and successful future. This will
encourage them to become more resilient and equipped to meet
the challenges of the course.