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CALCULATE

Friday p3 higher

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Page 1: Friday p3 higher

CALCULATE

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PAPER 1 Its all done now, don’t dwell on it too

much or celebrate yet.

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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!

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TO HELP OVER HALF TERM… Twitter @MAKErevision

Instagram- MAKErevision

Blog- MAKErevision.blogspot.co.uk

This powerpoint will be available on the blog.

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TWITTER @MAKEREVISION Poll questions

Ask for help via @MAKErevision

Retweets of corbettmaths and other useful resources

Instagram posts are tweeted.

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INSTAGRAM MAKEREVISION Daily questions Higher, Foundation

and Further Maths. Respond to

questions. Ask for help on

questions. Request questions

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MAKEREVISION.BLOGSPOT..CO.UK Useful videos

Exam style questions

Links to useful documents and resources.

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MAKEREVISION.BLOGSPOT..CO.UK Useful videos

Exam style questions

Links to useful documents and resources.

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TODAYWe 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!

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TIPS FOR OVER HALF TERMRevise EVERYTHING!

Use corbettmaths Complete the 5 a daysFollow Twitter and Instagram and respond to the posts.

Remember this is a calculator paper- so you can use you calculator for every question!

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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

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AVERAGES - SKILLS

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AVERAGES – EXAM QUESTION

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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

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ERROR BOUNDS

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ERROR BOUNDS

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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!

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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

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REVERSE PERCENTAGES

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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.

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TRIAL AND IMPROVEMENT Layout is important!

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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

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TRIAL AND IMPROVEMENT

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TRIGONOMETRY

Soh Cah Toa – Only for right-angled triangles.

Sine or Cosine Rule – Formulae given on the first page of your exam.

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SOH CAH TOA

Remember to label the sides of the triangle using o (opposite), a (adjacent) and h (hypotenuse).

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SOH CAH TOA

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SINE/COSINE RULE

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SINE/COSINE RULE

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SINE/COSINE RULE

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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 (

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DIRECT AND INVERSE PROPORTION

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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.

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PROBABILITY TREES