Sunday, 25 September 2016

Quibans 39: Injured Cyclists

This Quibans is particularly useful when you are working on (revising?) percentages, particularly undoing a percentage change.

From the Cambridge News:
Cyclists injured on Cambridgeshire's roads falls in last year
Shock new figures show more than one cyclist a day was injured on Cambridgeshire's roads last year - but numbers are falling.
Data from the Department for Transport has revealed 444 cyclists were involved in road accidents last year across the county - of which 74 were seriously injured and three fatally.  This is a drop of 6.3 per cent when compared with the ### in 2014, four of which were fatal.
Cambridge also saw a decrease of 4.3 per cent with 221 cyclist injured in 2015.
Noel Kavanagh, Cambridgeshire county councillor and the council's cycling champion, said “These figures are hugely encouraging in light of the fact that there's a large increase in the number of people cycling.”
Elsewhere across the county, there were 44 people injured in South Cambridgeshire last year, a 17 per cent drop and 15 in East Cambridgeshire, a decrease of 28.6 per cent.  But Huntingdonshire saw injuries go up by 15 per cent with 46 cyclists injured on the roads.
Nationally, the number of cyclist injured on the roads as a whole is falling too with ### in 2015, down by 11.5 per cent compared with the 21,287 in 2014.

The first step is to work out the blanked out numbers.  (Answers given below)

Then we could calculate other things, such as the percentage of injuries in Cambridgeshire that take place in the city of Cambridge, the number that were injured in 2014 in different parts of the county, and what percentage of the cyclist injuries across the country occurred in Cambs.

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The first missing number is 474.  If students wrongly add on 6.3% then they won’t get the right answer.  This should lead them to think again.

With the second number, even if they do the right calculation they won’t get the given number of 18,845 because of rounding issues.  This is a nice prompt for them to then work out what the actual percentage is (closer to 11.47%).

Source:

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