Estimation, assumptions and predictions

You would have covered estimating calculations in GCSE. Round the following numbers to 1 sig. fig.: A) 2520 B) 324,566 C) D) E) Estimating calculations 2

On whiteboards! On a long-haul flight an aeroplane flew 3123 miles in 8.4 hours. Work out an estimate of how many miles it flew each hour. a) 4000 b) 40 c) 400 3

On whiteboards! Estimate the answer to this question: 54.6 x 2.91 a) 1650 b) 165 c)

On whiteboards! Martyn rode 287 kilometres in 11 days. Roughly how many kilometres did he ride each day? a) 30 b) 300 c) 3 5

On whiteboards! Estimate the answer to this question: 2.1 x 9.4 x 3.7 a) 75 b) 750 c)

On whiteboards! A square has edges of length 2.44cm. What is an estimate of the area? a) 6cm² b) 60cm² c) 0.6cm² 7

On whiteboards! Estimate the answer to this question: 935 x 29 a) b) 2700 c) 270 8

On whiteboards! At a theatre they sold 73 cups of coffee during the interval at 68p a cup. Estimate the amount they took on coffee. a) £5.00 b) £500 c) £50 9

On whiteboards! Estimate the answer to this question: x a) 70 b) 7000 c)

On whiteboards! At Dave’s ice cream stall he sold 223 ice creams at 67p each. Estimate how much his takings were that day. a) £150 b) £15 c) £

On whiteboards! Estimate the answer to this question: 3.14 x 7.92 a) 250 b) 25 c)

You are used to estimating calculations from GCSE but you now have to be able to estimate real life problems. Estimation 13

What is the average height of a man in the UK? Question cm 107cm 177cm 207cm

What is the average weight of a man in the U.K? Question kg 54kg 153kg 28kg

Average life span for a woman in England? Question

The height of the express lift tower? Question m 256m 1350m 65m

Average age of a woman to have her first child in England Question

Distance from here to Sixfields stadium (walking distance) Question miles 3 miles 5 miles 1.5 miles

How many seconds in a year? Question ,78731,557, ,5673,456,678,876

Average number of people per household in the UK Question

Average wage for a full time worker in the U.K? Question 9 22 £36,500 £19,500 £12,500 £26,500

What is the average age of the maths department? Question

Answers 1. C 2. A 3. D 4. A 5. C 6. D 7. B 8. C 9. D 10. B 24

Fermi estimation 25

What is the volume of Wembley stadium? Break this down into more accessible calculations:  What is the width of Wembley stadium? (m)  What is the length of Wembley stadium? (m)  What is the height of Wembley stadium? (m)  What is the volume of Wembley stadium? (m³) Click for Hint Wembley stadium 26 Hint: The area of a standard football pitch is 90m by 45m

If you were to roll out a standard toilet roll, how long would it be? Click for hint How long is a toilet roll? 27 Hint: A standard piece of toilet paper is 11cm long.

average How many bricks are needed to build a garage? 28 Click for Hint Hint: The average width of a car is 1.8m

Estimate the distance from John O’Groats to Land’s End 29 Click for Hint Hint: The distance from London to Cambridge is 65 miles (driving)

What is this a picture of? Using data to make predictions 30

Is climate change happening? 31

Look at the data sheet provided. Can you use this to argue your case? Is climate change happening? 32

Could you predict the average temperatures from 2011 to 2040? By what per cent has it increased by? Comparing temperatures from an average in 30 years 33

mean/date/UK.txt Choose a month to look at: How can we use this data to predict the mean temperatures in 2020? Or 2100? Or 3100? Mean temperatures each month in the UK 34

Find the average for every ten years. By what per cent is it increasing by each year? Group the averages 35 YearAverage temperature (January) Increase from previous 10 years Percentage increase ….

 Will looking at moving averages find a more accurate picture?  Create a 3-point moving average for the data in the table. Then try a 4- and 5-point moving average.  Enter this on to a spreadsheet and graph the temperature change over the last 100 years. Moving average 36

Core Maths Support Programme 60 Queens Road Reading RG1 4BS Call