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Year 11 Tutorial booklet
Half Term 4 Name: __________________________________________
House:__________________________________________
Tutor: __________________________________________ Be Kind. Work Hard. Achieve Greatness.
Tutorial schedule
Half term 3 2019
Be Kind. Work Hard. Achieve Greatness.
24/02/2020 M
25/02/2020 Tu English #1 Building settings for narrative
26/02/2020 W Science #2 Atomic Structure
27/02/2020 Th Maths #3 Factorising Quadratics
28/02/2020 F English #4 Creating tension and suspence
29/02/2020 S
01/03/2020 Su
02/03/2020 M
03/03/2020 Tu Maths #5 Introduction to Trigonometry
04/03/2020 W Science #6 Particle Model of Matter
05/03/2020 Th Maths #7 Finding the missing side
06/03/2020 F English #8 Planning narratives and descriptions
07/03/2020 S
08/03/2020 Su
09/03/2020 M
10/03/2020 Tu English #9 Letter Writing
11/03/2020 W Science #10 Energy Stores
12/03/2020 Th Maths #11 Finding the missing angle
13/03/2020 F English #12 Developing arguments
14/03/2020 S
15/03/2020 Su
16/03/2020 M
17/03/2020 Tu Maths #13 Density
18/03/2020 W Science #14 Electricity
19/03/2020 Th Maths #15 Compound interest
20/03/2020 F English #16 Speech writing
21/03/2020 S
22/03/2020 Su
23/03/2020 M
24/03/2020 Tu English #17 Addressing the statement
25/03/2020 W Science #18 Waves
26/03/2020 Th Maths #19 Depreciation
27/03/2020 F English #20 Commentary articles
28/03/2020 S
29/03/2020 Su
30/03/2020 M
31/03/2020 Tu English #21 Leaflet writing
01/04/2020 W Science #22 Forces
02/04/2020 Th Maths #23 Vectors 1
Expectations and purpose of
Year 11 tutorials
Be Kind. Work Hard. Achieve Greatness.
Tutorial Expectations
• Continually try your best
• Respect others in the room
• Always sit in your designated seat
• Put your hand up if help is required
• Remain quiet unless otherwise instructed
• Remain in your seat throughout the session
• Respect the presentation of your booklet and use it for revision
• Walk straight to your seat and begin the starter
What is the purpose of the tutorial sessions?
Each tutorial session provides a high quality 25 minute revision session which will ensure
that everyone has a firm grasp and understanding of the key knowledge, skills and
methods which are required to be successful in your exams in Maths, English & Science.
The sessions are designed to help you learn or practise in areas which will support you
improving your GCSE grade in these core subjects.
Over the year these sessions will provide 60 hours of additional revision, support and
intervention which is the equivalent of an extra week of school.
But remember the amount of effort, work and focus you give to these sessions will impact
on your future and that of your future families. So make it count, make them proud and go
on to ‘Achieve Greatness’.
To ‘Achieve Greatness’: Demonstrate real commitment by researching the prepared topics
before the tutorial sessions or seek advice from teachers after them.
Be Kind. Work Hard. Achieve Greatness.
English #1—Writing Building settings for narratives
TASK 1: Match the key terms to their definitions. (AO2)
Simile
Metaphor
Personification
Zoomorphism
Pathetic fallacy
Onomatopoeia
A figure of speech that makes an implicit, implied or hidden com-
parison between two unrelated things with common characteris-
tics.
When a word imitates the natural sounds of something.
A figure of speech in which non-human objects are given human
Giving human attributes to inanimate objects of nature to reflect
A figure of speech that makes a comparison, showing similarities
A literary technique in which animal attributes are imposed on
TASK 2: Circle five things that could be used to describe the setting. (AO5)
What to consider when building the
setting:
Positive or negative?
Perspective up or down?
Mirror or contrast the character?
Methods Sentence types
Simile
Metaphor
Personification
Zoomorphism
Pathetic fallacy
Onomatopoeia
One word
Simple
Compound
Adverb-start
Semi-colon
Brackets
Be Kind. Work Hard. Achieve Greatness.
TASK 3: Write a paragraph setting the scene based on the image above. (AO5 + AO6)
English #1—Writing Building settings for narratives
TASK 4: Write a paragraph setting the scene based on the image below. (AO5 + AO6)
Be Kind. Work Hard. Achieve Greatness.
Tutorial #2—Science
Atomic Structure
1) What is the word equation and
chemical symbol equation for
photosynthesis?
2) How many protons, neutrons and
electrons in this Chlorine atom?
Protons:
Neutrons:
3) What is the equation to work out
the magnification of an object?
Complete the starter questions in the boxes below:
What are we learning/revisiting today?
Structure of the atom, the different types of
radiation and the discovery of the nucleus
Cl 35
17
Task 2: The following table shows the different types of radiation, you need to
know the range, ionising and penetration power of each different one
Particle Size Mass Found
Neutron
Proton
Electron
Task 1: Complete the table
Decay Range Ionising power Penetration power
Alpha
Beta
Gamma
Be Kind. Work Hard. Achieve Greatness.
Tutorial 2– Science
Atomic Structure
Who? Idea
Democritus
JJ Thomson (1897)
Thomson (1904)
Geiger and Marsden
(1909)
Rutherford (1911)
Bohr (1913)
Chadwick (1932)
Task 3: Discovery of the nucleus
Question 1
Work out the value of
13 + 3b2 when b = 4
Question 2
Expand & Simplify
(y+3)(y+7)
Question 3
Can you find 2 num-
bers that add to make
11 but also multiply to
make 30?
Question 4
Expand & Simplify
(x+5)(x-5)
What are we learning today?
How to factorise a quadratic expression into 2 brackets.
Ex 1. Factorise y2 + 8y + 12
Ex 2 Factorise y2 - 4y - 28
Ex 3 Factorise y2 - 7y + 12
Ex 4 Factorise y2 - 49
Mathematics — Tutorial 3
Factorising Quadratics Complete the starter questions in the boxes below:
Be Kind. Work Hard. Achieve Greatness.
Key points:
TASK 1: Factorising Quadratics
Mathematics — Tutorial 3
Factorising Quadratics
1. y2 + 11y + 30
2. y2 + 6y + 8
3. y2 + 4y - 21
4. y2 + 7y -30
5. y2 - 5y - 24
6. y2 - 12y + 35
7. y2 - 100
8. y2 - 169
Be Kind. Work Hard. Achieve Greatness.
English #4—Writing Creating tension and suspense
TASK 1: Write a sentence that implies the following emotions. (AO5)
Emotion Sentence
Embarrassed
Surprised
Scared
Angry
Upset
TASK 2: Plan the first half of a story based on the images. (AO5)
Tension: The feeling of
anticipation that some-
thing risky or danger-
ous is about to happen.
Suspense: The intense
feeling an audience
gets waiting for the
outcome of something.
RECAP:
STORY planning
Setting
Tension + Talking
characters
Oops! A problem
Resolving the issue
Yay! Or Yikes!
Be Kind. Work Hard. Achieve Greatness.
Be Kind. Work Hard. Achieve Greatness.
English #4—Writing Creating tension and suspense
Setting Tension + Characters Oops! A problem (suspense)
Tension/Suspense = Implied phrases + one-word sentences + simple sentences + imagery*
TASK 3: Write a paragraph that builds tension in your planned story. (AO5 and AO6)
Question 1
Question 2 Question 3
Question 4
What are we learning today?
Which trigonometric ratio to use.
The Three Ratios
Deciding on which triangle to use.
Mathematics — Tutorial #5
Introduction to Trigonometry Complete the starter questions in the boxes below:
Be Kind. Work Hard. Achieve Greatness.
Key points:
Mathematics — Tutorial #5
Introduction to Trigonometry
Be Kind. Work Hard. Achieve Greatness.
Be Kind. Work Hard. Achieve Greatness.
Tutorial #6—Science
Particle Model of matter
1) What are the definitions of diffu-
sion, osmosis and active transport?
2) What does the pH scale show?
What colour would an acid be on
the scale?
What colour would a strong alkali
be?
Neutral?
3) Why do you use stains and dyes
to observe things through a micro-
scope?
Complete the starter questions in the boxes below:
What are we learning/revisiting today?
States of matter,
Task 2: What is SPECIFIC HEAT CAPACITY?
Definition:
What does it depend on?
Equation:
State Particle arrangement Properties
Solid
Liquid
Gas
Task 1: Complete the table about the different states of matter
Be Kind. Work Hard. Achieve Greatness.
Tutorial #6– Science
Particle Model of matter
Task 3: Changes of state and their defintions
Freezing
Melting
Boiling / Evaporating
Condensation
Sublimation
Conservation of mass
Physical change
Task 4: Draw a graph to show the changes of state when a substance is heated
from a solid to a gas
Question 1
Solve
5x = 55
Question 2
Solve
X = 4
7
Question 3
Solve
7(2x + 5) = 77
Question 4
Solve
7x + 2 = 2x + 37
What are we learning today?
Using trigonometry to calculate a missing side.
Mathematics — Tutorial #7
Finding the missing side. Complete the starter questions in the boxes below:
Be Kind. Work Hard. Achieve Greatness.
Key points:
Mathematics — Tutorial #7
Finding the missing side.
TASK 1
Write down the calculation we would use to find the side labelled.
Be Kind. Work Hard. Achieve Greatness.
English #8—Writing Planning narratives and descriptions
Be Kind. Work Hard. Achieve Greatness.
TASK 1: Match the words to their synonyms. (AO6)
avarice
brazen
coerce
enmity
feral
lurid
intrepid
myriad
panacea
vociferous
hate, bitterness, loathing, dislike
bully, intimidate, force, urge
gruesome, horrifying, revolting
cure, remedy, elixir
greediness, frugality, stinginess
Loud, noisy, shrill, boisterous
multiple, countless, endless
bold, blatant, cocky, audacious
untamed, wild, savage
brave, heroic, fearless, daring
TASK 2: Annotate the image below with key phrases or words that could be used. (AO5)
Key skills
• Realistic and relatable
narratives
• Poetic and imaginative
descriptions
• 6 paragraphs maximum
• Range of methods
• Range of vocabulary
• Range of sentence types
English #8—Writing Planning narratives and descriptions
Be Kind. Work Hard. Achieve Greatness.
TASK 3: Plan a narrative and description based on the image. (AO5)
Narrative:
STORY
Twist
Motif
Setting Tension Oops! Resolving Yay/Yikes!
Descrip-
tion:
Diamond
or Hour-
glass
Planning space:
English #9—Writing Letter writing
Be Kind. Work Hard. Achieve Greatness.
TASK 1: Write a sentence beginning with the discourse markers below. (AO6)
Broadly speaking,
As a rule,
In the past,
In other words,
Overall,
TASK 2: Illustrate the layout of a letter in the space below. (AO5)
Letter writing tips
Do not write your address
Use the correct level of
formality
Use the correct greeting
and sign off
Introduction
4 x supporting paragraphs
Conclusion
English #9—Writing Letter writing
Be Kind. Work Hard. Achieve Greatness.
“Cars are dangerous and toxic, harming the health of young people and causing breathing difficulties. All
motor vehicles should be banned from city centres and funding should be used to develop cycle routes and
green areas.”
TASK 3: Plan a letter persuading the Minister of Transport to your point of view on this statement. (AO5)
Point 1
Point 2
Point 3
Point 4
“The roads are dangerous for young people travelling to school in the winter. School times should be
changed at different points in the year to ensure the safety of pupils.”
TASK 4: Plan a letter persuading the principal to your point of view on this statement. (AO5)
Point 1
Point 2
Point 3
Point 4
Be Kind. Work Hard. Achieve Greatness.
Tutorial #10—Science
Energy
1) Draw and label a generalised
animal cell
2) How many protons, neutrons and
electrons in this Flourine atom?
Protons:
Neutrons:
Electrons:
3) Who developed the modern
Periodic Table? Why has this been
accepted as correct?
Complete the starter questions in the boxes below:
What are we learning/revisiting today?
Energy stores
Renewable and Non renewable energy
F 19
9
Task 1: What is an energy store?
Name them
1. 5.
2. 6.
3. 7.
4. 8.
System
Open System Closed system
Elastic Potential equation
Gravitational Potential equation Kinetic energy equation
Work
Power Unit of energy
Task 2: Complete the key terms and equations
Be Kind. Work Hard. Achieve Greatness.
Tutorial #10– Science
Energy
Energy Resource How it works Positives Negatives
Fossil Fuels
(Coal, oil and gas)
Nuclear
Biofuels
Tidal
Waves
Hydroelectric
Wind
Solar
Geothermal
Task 3: Renewable and non renewable energy sources
Question 1
How many centimetres in
5.72 metres?
Question 2
How many millimetres in
27.8 cm
Question 3
Product of primes for 20
Question 4
Lowest common multiple
of 6 and 9
What are we learning today?
Which trigonometric ratio to find the missing angle.
Mathematics — Tutorial #11
Finding the missing angle Complete the starter questions in the boxes below:
Be Kind. Work Hard. Achieve Greatness.
Key points:
Mathematics — Tutorial #11
Finding a missing angle
Be Kind. Work Hard. Achieve Greatness.
English #12—Writing Developing arguments
TASK 1: Match the key terms to their examples. (AO5)
Statistics
Opinion
Triadic structure
Rhetorical question
Alliteration
Emotive language
We believe that the health of children should take priority.
Innocent bystanders are being systematically poisoned by cars.
Can you continue to watch a child coughing and spluttering?
‘Gas guzzlers’ are a particular noisy nuisance.
75% of people with asthma believe car exhausts are the cause.
Trucks, cars and motorbikes have no place in the city.
“Cars are dangerous and toxic, harming the health of young people and causing breathing difficulties. All
motor vehicles should be banned from city centres and funding should be used to develop cycle routes
and green areas.”
TASK 2: Develop counter arguments for the points below. (AO5)
Argument Undermine the argument Counter proposal
Car exhaust fumes cause
breathing difficulties in
babies and toddlers.
Road accidents increase
in pedestrian areas.
Green areas make people
feel happier and more
relaxed.
More cycle routes would
make people fitter and
healthier.
Be Kind. Work Hard. Achieve Greatness.
English #12—Writing Developing arguments
Be Kind. Work Hard. Achieve Greatness.
TASK 3: Write an argumentative paragraph based on one of the rows. (AO5)
“The roads are dangerous for young people travelling to school in the winter. School times should be
changed at different points in the year to ensure the safety of pupils.”
TASK 4: Develop counter arguments for the points below. (AO5)
Argument Undermine the argument Counter proposal
The icy roads and pave-
ments can be a slip haz-
ard for pupils.
Drivers struggle to see
young people due to
their dark coats and uni-
form.
Changing the timings of
the day will give pupils
more time to socialise
with peers or family.
Starting school later will
make pupils more alert to
dangers on the road.
Question 1
Work out the value of 3a2 when
a = 7
Question 2
Work out the value of 4y - 3
when y = 5
Question 3
Work out 58 ÷ 4 as a decimal
Question 4
Work out 14 x 23
What are we learning today?
How to calculate density given the mass and volume.
Find the density of an object where the mass is 480g and the volume is 60cm3
Below is a block that has a mass of 960g. What is the density of the block giving the correct units.
Mathematics — Tutorial #13
Density Complete the starter questions in the boxes below:
Be Kind. Work Hard. Achieve Greatness.
Key points:
TASK 1
The mass of 5 m3 of copper is 40 000 kg.
Work out the density of copper
The density of zinc is 7000kg/m3. (b) Work out the mass of 5 m3 of zinc.
1 ton = 1000kg
This block has a mass of 2.5 tons. Work out it’s density.
Mathematics — Tutorial #13
Density
Be Kind. Work Hard. Achieve Greatness.
Be Kind. Work Hard. Achieve Greatness.
Tutorial #14—Science
Electricity
1) Name the 8 different energy
stores
2) What discovery did Bohr make
about the atom?
3) Which type of radiation has the
most penetrating power?
Complete the starter questions in the boxes below:
What are we learning/revisiting today?
Electricity, circuit symbols, wiring a 3 pin plug
Task 1: Current and charge
Task 2: Drawing circuits
Current Flow of electrical charge Ampere (A)
Potential Difference
Charge
Resistance
SERIES —A circuit with 1 loop PARALLEL —A circuit with 2 or more
loops
Be Kind. Work Hard. Achieve Greatness.
Tutorial #14– Science
Electricity
What and description Symbol
Cell
Battery
Open switch
Closed switch
Lamp
Ammeter
Voltmeter
Task 3: The different circuit symbols you need to know and be able to draw
What and description Symbol
Diode
LED
LDR
Fuse
Resistor
Variable resistor
Thermistor
Task 4: Wiring a 3 pin plug
Wire Colour of wire Function
Mathematics — Tutorial #15
Compound interest
Be Kind. Work Hard. Achieve Greatness.
Question 1
Find 15% of £220
Question 2
Increase £60 by 25%
Question 3
Increase your answer to ques-
tion 2 by 10%
Question 4
What is a 1/3 off £24?
What are we learning today?
How to find out how much interest is paid by a bank.
Simple interest.
I invest £4000 at 3% simple interest for 5 years. How much interest will I have after the 5 years?
I invest £3000 into a bank account that pays 2.7% compound interest per annum. What calculation will I
use to calculate how much money will be in the account after 4 years?
£5000 was invested into a bank account that pays 2.8% for the first year then 2.3% compound interest for
every year after.
What calculation will I use to calculate the total amount after 3 years in the bank account?
Complete the starter questions in the boxes below:
Mathematics — Tutorial #15
Pythagoras’ Theorem
Be Kind. Work Hard. Achieve Greatness.
Key points:
I invest £200 at 4% simple interest for 3 years. How much interest will I have after the 3 years?
For each of these write down the calculation used.
English #16—Writing Speech writing
TASK 1: Write an example of each type of method (AO5)
Anaphora
Epistrophe
Asyndeton
Inclusive language
Anecdote
Direct address
“Global warming is destroying the planet and ecosystem. Young people should do more to protect the
planet by recycling, eating less meat and buying things locally.’
TASK 2: Plan a speech for pupils your age arguing your viewpoint on this statement. (AO5)
For Against
Be Kind. Work Hard. Achieve Greatness.
English #16—Writing Speech writing
Speech introductions: Audience’s experience + background information + relate to the audience
TASK 3: Write the introductory paragraph to the speech, outlining your point of view on the statement.
(AO5 + AO6)
TASK 4: Write the introductory paragraph to a speech for parents and teachers, outlining your point of
view on the statement. (AO5 + AO6)
Be Kind. Work Hard. Achieve Greatness.
English #17—Writing Addressing the statement
TASK 1: Write a sentence including the punctuation listed. (AO2)
Punctuation
mark
Sentence example
Comma
Brackets
Semi-colon
Colon
Dash
“The meat industry is the biggest contributor to global warming. The government should restrict the sale
of meat to encourage more vegetarianism and veganism.”
TASK 2: Write arguments for or against the statement above. (AO5)
Agree Disagree
Be Kind. Work Hard. Achieve Greatness.
English #17—Writing Addressing the statement
TASK 3: Develop one of the points from the table into persuasive paragraph. (AO5)
“Obesity is the biggest issue affecting children today. Primary schools should do more to teach pupils
about the importance of healthy eating and an active lifestyle.”
TASK 4: Write arguments for or against the statement above. (AO5)
Agree Disagree
Be Kind. Work Hard. Achieve Greatness.
Be Kind. Work Hard. Achieve Greatness.
Tutorial #18—Science
Waves
1) Draw a series circuit with a cell,
one bulb and an closed switch
2) Convert the following:
1.5Km into ………………...m
200g into …………………….Kg
10cm into …………………...mm
3 mins into …………………..seconds
25W into ……………………...KW
3) What is “normal” body tempera-
ture?
What happens if your body temper-
ature gets too high?
Complete the starter questions in the boxes below:
What are we learning/revisiting today?
Waves, reflection, refraction, the electromagnetic
spectrum
Transverse
Longitudinal
Wave
Task 1: What is the difference between Transverse and Longitudinal Waves?
Task 2: Reflection
Law of reflection:
Task 3: Refraction
Be Kind. Work Hard. Achieve Greatness.
Tutorial #18– Science
Waves
Wave Danger Use
Radiowave
Microwave
Infrared
Visible light
Ultra violet wave
X Ray
Gamma Ray
Task 5: Electromagnetic Wave Spectrum
Low freq.
Long wave
length
High Freq.
Short wave
length
Task 4 : Draw a longitudinal wave. Show the wavelength, amplitude, peak and trough
Mathematics — Tutorial #19
Depreciation
Be Kind. Work Hard. Achieve Greatness.
Question 1
What is 20% of £600
Question 2
Decrease £80 by 10%
Question 3
Decrease your answer to
question 2 by another 10%
Question 4
A car costs £18000 plus VAT at
20%. How much will the car
cost?
What are we learning today?
How to depreciate the value of something.
A car depreciates in value by 10% per year. It currently has a value of £6000. How much will it be worth in 3
years?
A machine cost a company £40000 brand new. It’s value depreciated by 20% in the first year and then by
10% every year after. How much will the machine be worth in 3 years?
Complete the starter questions in the boxes below:
Mathematics — Tutorial #19
Depreciation
Be Kind. Work Hard. Achieve Greatness.
Key points:
A car depreciates in value by 10% per year. It currently has a value of £15000. How much will it be worth in 2
years?
A car depreciates in value by 5% per year. It currently has a value of £800. How much will it be worth in 2
years?
A machine cost a company £60000 brand new. It’s value depreciated by 20% in the first year and then by
10% every year after. How much will the machine be worth in 2 years?
A machine cost a company £120000 brand new. It’s value depreciated by 30% in the first year and then by
15% every year after. How much will the machine be worth in 3 years?
English #20—Writing Commentary articles
TASK 1: Write a sentence beginning with the discourse markers below. (AO6)
Naturally,
Many people believe
We can conclude that
When all factors are considered
Admittedly
TASK 2: Illustrate the layout of an article in the space below. (AO5)
Article writing tips
• Pick a well-known
newspaper for the
masthead
• Attract your reader with
the headline
• Include a strapline to
add more detail
• Write an introductory
paragraph
• Use subheadings if ap-
propriate
• 4 x supporting para-
graphs
• Conclusion
Be Kind. Work Hard. Achieve Greatness.
English #20—Writing Commentary articles
“The meat industry is the biggest contributor to global warming. The government should restrict the
sale of meat to encourage more vegetarianism and veganism.”
TASK 3: Write the beginning of an article arguing for or against the statement above. (AO5 + AO6)
To ‘Achieve Greatness’: Write the beginning of an article arguing for or against the statement below.
(AO5 + AO6)
“Obesity is the biggest issue affecting children today. Primary schools should do more to teach pupils
about the importance of healthy eating and an active lifestyle.”
Be Kind. Work Hard. Achieve Greatness.
English #21—Writing Leaflet writing
TASK 1: Write an example of the methods below. (AO6)
Anecdote
Determiners
Modal verbs
Hyperbole
Litotes
TASK 2: Illustrate the layout of a leaflet in the space below. (AO5)
Leaflet writing tips
• Pick a catchy title
• Use subheadings
• Use bullet points
• Draw boxes around key
information
• Write an introductory
paragraph
• 4 x supporting para-
graphs
• Conclusion
Be Kind. Work Hard. Achieve Greatness.
English #21—Writing Leaflet writing
Be Kind. Work Hard. Achieve Greatness.
“Obesity is the biggest issue affecting children today. Primary schools should do more to teach pupils
about the importance of healthy eating and an active lifestyle.”
TASK 3: Plan a leaflet advising primary aged pupils on ways to stay healthy, based on the statement
above. (AO5)
Proposal Problem Advice
TASK 4: Write the beginning of a leaflet advising primary aged pupils on ways to stay healthy. (AO5 +
AO6)
Be Kind. Work Hard. Achieve Greatness.
Tutorial #22—Science
Forces
1) Draw and label an atom. What
are the charges and masses of the
sub atomic particles
2) Describe the different stages that
an ice cube goes through to become
steam
3) What happens to the bodies cells
if a person is dehydrated? Why
does it happen?
Complete the starter questions in the boxes below:
What are we learning/revisiting today?
What is a force, different types of forces
Task 2: What is the difference between weight and mass?
Weight:
Mass:
What is the equation used to calculate weight?
Ext: Why would your weight change if you were on the moon, but your mass wouldn’t?
Task 1: What is a force?
Contact Force:
Non-Contact force
Unit
Kilo
Mega
Be Kind. Work Hard. Achieve Greatness.
Tutorial #22– Science
Particle Model of matter
Task 3: What is the difference between speed and velocity?
Speed
Velocity
Distance
Displacement
Task 5: If the forces acting upon an object are unbalanced, then the object will ac-
celerate.
Force (N) = Mass (Kg) X Acceleration (m/s2)
1. A Car has a mass of 100Kg, what force must the car’s engine supply to cause an
acceleration of 2m/s2 ?
2. A lorry has a mass of 12,000kg. What acceleration is caused by a force of
10,000N?
Task 4: How to calculate resultant forces
A) Forces acting in the same direction B) Forces acting in the opposite direction
Mathematics — Tutorial #23
Vectors 1
Be Kind. Work Hard. Achieve Greatness.
Question 1
3 people share 72 sweets in
the ratio 3:5:1. How many
sweets do they get each?
Question 2
Ali and Bob share some sweets
in the ratio 5:7. If Bob get 42
how many sweets did they
share?
Question 3
Find the nth term for
19, 17, 15, 13, 11, ...
Question 4
Expand 4y(2y—5)
What are we learning today?
How to write the column vector and sum two vectors together.
Write the column vector for each.
a = , b =
Work out 2b – 3a as a column vector.
Complete the starter questions in the boxes below:
Be Kind. Work Hard. Achieve Greatness.
Mathematics — Tutorial #23
Vectors 1
Be Kind. Work Hard. Achieve Greatness.
Key points:
Write the column vector.
a = , b =
Work out 4b – 2a as a column vector.
a = , b =
Work out b + 3a as a column vector.
a = , b =
Work out 5b + 4a as a column vector.
Mathematics — Tutorial #24
Vectors 2
Be Kind. Work Hard. Achieve Greatness.
Question 1
72
112
132
Question 2
√100
√64
Question 3
6cm ?
8cm
Question 4
Area of triangle in question 3
What are we learning today?
How to find the magnitude (length) of a vector.
Calculate the magnitude
Complete the starter questions in the boxes below:
Mathematics — Tutorial #24
Vectors 2
Be Kind. Work Hard. Achieve Greatness.
Key points:
Calculate the magnitude
Be Kind. Work Hard. Achieve Greatness.
“A dream does not
become reality through
magic; it takes sweat,
determination and hard
work.”