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CALCULATE
PAPER 1
 Its all done now, don’t dwell on it too much
or celebrate yet.
PAPER 2…
 50% more marks
 33% more time
So
Therefore it is crucial in
determining your final grade.
 Can still assess content that was in paper 1!
TO HELP OVER HALF TERM…
 Twitter @MAKErevision
 Instagram- MAKErevision
 Blog- MAKErevision.blogspot.co.uk
This powerpoint will be available on the blog.
TWITTER @MAKEREVISION
 Poll questions
 Ask for help via
@MAKErevision
 Retweets of
corbettmaths and other
useful resources
 Instagram posts are
tweeted.
INSTAGRAM
MAKEREVISION
 Daily questions
 Higher, Foundation and
Further Maths.
 Respond to questions.
 Ask for help on
questions.
 Request questions
MAKEREVISION.BLOGSPOT..CO.UK
 Useful videos
 Exam style questions
 Links to useful
documents and
resources.
MAKEREVISION.BLOGSPOT..CO.UK
 Useful videos
 Exam style questions
 Links to useful
documents and
resources.
TODAY
We are going to look through some examples which
are typical calculator problems.
There is no guarantee that these topics will come up
on paper 2. (Unlike Marty McFly we cannot travel to
the future!)
Other topics will come up
that do not appear in this
list- so revise EVERYTHING!
TIPS FOR OVER HALF TERM
Revise EVERYTHING!
Use corbettmaths
Complete the 5 a days
Follow Twitter and Instagram and respond
to the posts.
Remember this is a calculator paper- so
you can use you calculator for every
question!
AVERAGES AND DATA HANDLING
 Higher Tier data handling is more likely to be based
on grouped and/or continuous data
 Cumulative Frequency, LQ, median, UQ etc along
with boxplots are common questions
AVERAGES - SKILLS
AVERAGES – EXAM QUESTION
ERROR BOUNDS
 Rounding to significant figures and decimal places
means that there is potential variation in the actual
value
 eg 1500 to 2sf could be anything between 1550 and
1450
 A possible method to ensure you have the upper or
lower bound of a calculation is to quickly calculate
all the possible options (in a systematic way) and
then identify the highest/lowest values
ERROR BOUNDS
ERROR BOUNDS
REVERSE PERCENTAGES
 Reverse percentages are the questions that ask
what the ORIGINAL price was before a
sale/discount etc
 The key is to think about the calculation that would
have been done to achieve the value and then
undo it.
 Decimal multipliers are the only effective way of
consistently getting this right!
REVERSE PERCENTAGES
 Something that has been reduced by 25% would
have been multiplied by 0.75
 So to get the original just divide by 0.75
REVERSE PERCENTAGES
TRIAL AND IMPROVEMENT
 Trial and improvement should only be used on
questions that mention it specifically
 More than any other question, the majority of the
marks are for your working out, not you final answer
 Remember to give you answer to the right level of
precision as given in the question.
TRIAL AND IMPROVEMENT
 Layout is important!
TRIAL AND IMPROVEMENT
 Substitute in whole numbers (in this example).
 If the answer is smaller than you want use a larger
value
 Decide (and state) which values x must be between
TRIAL AND IMPROVEMENT
TRIGONOMETRY
 Soh Cah Toa – Only for right-angled triangles.
 Sine or Cosine Rule – Formulae given on the first
page of your exam.
SOH CAH TOA
 Remember to label the sides of the triangle using o
(opposite), a (adjacent) and h (hypotenuse).
SOH CAH TOA
SINE/COSINE RULE
SINE/COSINE RULE
SINE/COSINE RULE
DIRECT AND INVERSE PROPORTION
 Direct proportion – y is directly proportional to x ( y
α x ) means y = kx
 You must calculate the constant of proportionality k by
using the values of x and y given in the question
( y α x2 ) means y = kx2 or ( y α √x ) means y = k√x
 Inverse proportion – y is indirectly proportional to x (
DIRECT AND INVERSE PROPORTION
PROBABILITY TREES
 Remember to read the question carefully.
 Does it mention replacement?
 Are the events independent?
 To calculate probabilities of events, you must
multiply along the paths of the tree.
 You may then also need to add separate outcomes
together.
PROBABILITY TREES

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Friday p3 higher

  • 2. PAPER 1  Its all done now, don’t dwell on it too much or celebrate yet.
  • 3.
  • 4. PAPER 2…  50% more marks  33% more time So Therefore it is crucial in determining your final grade.  Can still assess content that was in paper 1!
  • 5. TO HELP OVER HALF TERM…  Twitter @MAKErevision  Instagram- MAKErevision  Blog- MAKErevision.blogspot.co.uk This powerpoint will be available on the blog.
  • 6. TWITTER @MAKEREVISION  Poll questions  Ask for help via @MAKErevision  Retweets of corbettmaths and other useful resources  Instagram posts are tweeted.
  • 7. INSTAGRAM MAKEREVISION  Daily questions  Higher, Foundation and Further Maths.  Respond to questions.  Ask for help on questions.  Request questions
  • 8. MAKEREVISION.BLOGSPOT..CO.UK  Useful videos  Exam style questions  Links to useful documents and resources.
  • 9. MAKEREVISION.BLOGSPOT..CO.UK  Useful videos  Exam style questions  Links to useful documents and resources.
  • 10. TODAY We are going to look through some examples which are typical calculator problems. There is no guarantee that these topics will come up on paper 2. (Unlike Marty McFly we cannot travel to the future!) Other topics will come up that do not appear in this list- so revise EVERYTHING!
  • 11. TIPS FOR OVER HALF TERM Revise EVERYTHING! Use corbettmaths Complete the 5 a days Follow Twitter and Instagram and respond to the posts. Remember this is a calculator paper- so you can use you calculator for every question!
  • 12. AVERAGES AND DATA HANDLING  Higher Tier data handling is more likely to be based on grouped and/or continuous data  Cumulative Frequency, LQ, median, UQ etc along with boxplots are common questions
  • 14. AVERAGES – EXAM QUESTION
  • 15. ERROR BOUNDS  Rounding to significant figures and decimal places means that there is potential variation in the actual value  eg 1500 to 2sf could be anything between 1550 and 1450  A possible method to ensure you have the upper or lower bound of a calculation is to quickly calculate all the possible options (in a systematic way) and then identify the highest/lowest values
  • 18. REVERSE PERCENTAGES  Reverse percentages are the questions that ask what the ORIGINAL price was before a sale/discount etc  The key is to think about the calculation that would have been done to achieve the value and then undo it.  Decimal multipliers are the only effective way of consistently getting this right!
  • 19. REVERSE PERCENTAGES  Something that has been reduced by 25% would have been multiplied by 0.75  So to get the original just divide by 0.75
  • 21. TRIAL AND IMPROVEMENT  Trial and improvement should only be used on questions that mention it specifically  More than any other question, the majority of the marks are for your working out, not you final answer  Remember to give you answer to the right level of precision as given in the question.
  • 22. TRIAL AND IMPROVEMENT  Layout is important!
  • 23. TRIAL AND IMPROVEMENT  Substitute in whole numbers (in this example).  If the answer is smaller than you want use a larger value  Decide (and state) which values x must be between
  • 25. TRIGONOMETRY  Soh Cah Toa – Only for right-angled triangles.  Sine or Cosine Rule – Formulae given on the first page of your exam.
  • 26. SOH CAH TOA  Remember to label the sides of the triangle using o (opposite), a (adjacent) and h (hypotenuse).
  • 31. DIRECT AND INVERSE PROPORTION  Direct proportion – y is directly proportional to x ( y α x ) means y = kx  You must calculate the constant of proportionality k by using the values of x and y given in the question ( y α x2 ) means y = kx2 or ( y α √x ) means y = k√x  Inverse proportion – y is indirectly proportional to x (
  • 32. DIRECT AND INVERSE PROPORTION
  • 33. PROBABILITY TREES  Remember to read the question carefully.  Does it mention replacement?  Are the events independent?  To calculate probabilities of events, you must multiply along the paths of the tree.  You may then also need to add separate outcomes together.