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Three different types of percentage calculations

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Three different types of percentage calculations

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The number of overseas university students in England is up 60 per cent over the past four years to 560,000.  They make up 24% of the student body.  Forecasts suggest that overseas recruits in the coming financial year will be down by 37% next year.

What were the figures four years ago?  What will they be next year?  How many university students are there at the moment altogether?

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What is surprising about this info? (Every 5k took the same time - 19min 44s)

What appears to be wrong? (the 20k time should be 1 s more)

What's going on with that? (A rounding error?)

Is the final 1.1km faster or slower than the pace of the rest? (faster!)

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What would be a better way to present the information?

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How much is this per day?

How does it compare to first class flights?

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"Petrol is x% more/less expensive in country y than in country z"
(Data from a tweet by https://twitter.com/stats_feed)

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New York is sinking by 1 to 2 mm per year because of weight of buildings.
How much does an elephant weigh?
Is this a helpful visualisation?
https://www.theguardian.com/us-news/2023/may/19/new-york-city-sinking-skyscrapers-climate-crisis

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What percentage pay rise have Junior Doctors received since 2008?
In order to be able to buy the same number of beans, what percentage would they need to have?

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Does the graph definitely mean that total supermarket sales have risen?

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What would you expect to get if you multiply the Num of laps by Circuit length?
What is going on?
Roughly how long does the race take?
https://www.bbc.co.uk/sport/live/formula1/63203608

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A tweet:
"If you made $53,000 a day or $20 million per year since Jesus was born you would still not make the profit Shell made in 2022."
How much profit did they make?
The actual profit was £32,200,000,000
How many £ is that per day?
https://twitter.com/MikeHudema/status/1631696976285777920

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This could link to the 'heist' info, but could also involve questions about the percentage more expensive the Waitrose ones are.

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"A chocolate thief is facing jail after admitting he stole almost 200,000 Cadbury Creme Eggs in a heist worth more than £31,000."
What is weird about the figures?
(Google the price of a creme egg ...)

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McVitie’s £1.60; 5.9p each
Lidl, 49p; 1.75p each
How many in a packet?
What is the percentage saving if you buy Lidl? Percentage extra if you buy McVitie's?

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"Water bills are set to get the biggest increase in almost 20 years. The 7.5% increase means customers will pay on average £31 more than last year."
How much is the average bill going to be?
https://www.bbc.co.uk/news/business-64489145

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How many parcels are sent abroad each day?

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How many parcels are sent abroad each day?

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Royal Mail posted 74 million parcels abroad in the six months to the end of September, according to its most recent financial results, or an average of ?????? per day.

[Answer: an average of 400,000 per day. ]
https://www.telegraph.co.uk/business/2023/01/11/parcels-letters-stuck-limbo-royal-mail-hit-suspected-hack/

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The average two-year fixed rate mortgage has fallen from a high of 6.65pc in mid-November, to 5.46pc today. A typical borrower with a £150,000 loan who postponed locking in a rate will have saved almost £### in monthly interest, equating to an annual saving of £####.

A borrower with a £200,000 mortgage will have saved £*** a month in interest, or £**** a year.

[Answers:
# almost £150 in monthly interest, equating to an annual saving of £1,788.
* saved £199 a month in interest, or £2,388 a year.]
https://www.telegraph.co.uk/personal-banking/mortgages/cheapest-mortgage-rates-nearing-4pc-lender-price-war-knocks/

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"Two baskets of 22 pretty much identical items cost £76.50 at Waitrose and £54.46 at Aldi."
What is the percentage saving if you shop at Aldi?
What is the percentage extra if you shop at Waitrose?
Why are the percentages different?  How are they connected?
What is the average cost of an item?
https://www.telegraph.co.uk/food-and-drink/features/waitrose-vs-aldi-ultimate-taste-test-best/

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Four brothers rowed 3000 miles across the Atlantic in 32 days.
What was their speed?  Could you walk at that pace?
https://www.bbc.co.uk/news/uk-england-devon-64274807

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Citizens Advice estimates that one person every 10 seconds ran out of credit on their prepayment meter in Britain last year.
How many people is that? What degree of accuracy?
https://www.bbc.co.uk/news/business-64235997