Edexcel GCSE Maths
Topic questions Number Estimation and approximation
20 questions · 80 marks · about 1.5 hours
Write 23 619 to the nearest 1000
Work out an estimate for the value of 5.9 
98.1
A car travelled 4.96 miles at an average speed of 30.4 miles per hour.
Work out an estimate for the time taken by the car. Give your answer in minutes.
Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.
A car travelled 4.96 miles at an average speed of 30.4 miles per hour.
Work out an estimate for the time taken by the car. Give your answer in minutes.
Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.
Sophie drives a distance of 513 kilometres on a motorway in France. She pays 0.81 euros for every 10 kilometres she drives.
Work out an estimate for the total amount that Sophie pays.
Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.
Sophie drives a distance of 513 kilometres on a motorway in France. She pays 0.81 euros for every 10 kilometres she drives.
Work out an estimate for the total amount that Sophie pays.
Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.
Also involves Rounding
26Work out an estimate for 
A total of 700 tickets were on sale for a football match. 452 of the tickets were sold.
How many tickets were not sold?
For a different football match, 297 tickets were sold for £9.50 each. 399 tickets were sold for £19.50 each.
Work out an estimate for the total amount of money paid for these tickets. You must show all your working.
Is your answer to part (b) an underestimate or an overestimate? Give a reason for your answer.
Work out an estimate for the value of 92 × 1.63 You must show all your working.
Given that 2.96 × 3.2 = 9.472
find the value of 29.6 
32
The diagram shows a shape made from 6 identical squares.
The total area of the shape is 5406 cm2
Find an estimate for the length of one side of each square. Give your answer correct to the nearest whole number.
Is your answer to part (a) an underestimate or an overestimate? You must give a reason for your answer.
Rehan is on holiday in the USA.
He has $200 to spend on clothes.
Rehan buys 1 pair of trainers costing $60 3 T-shirts costing $25 each.
He also wants to buy a jacket costing $80
Has Rehan got enough money to buy the jacket? You must show how you get your answer.
The trainers cost $60 The exchange rate is $1 = £0.749
Rehan says, “The trainers cost less than £40”
Rehan is wrong.
Using a suitable approximation, show working to explain why.
(2.3)6 = 148 correct to 3 significant figures.
Find the value of (0.23)6 correct to 3 significant figures.
Find the value of 5–2
The table shows the costs of sending a parcel by the Express service and by the Rapid service.
| Type of service | Cost |
| Express | £15.25 |
| Rapid | £35.38 |
Brendan has to send 12 parcels. It will be cheaper to send the parcels by the Express service than by the Rapid service.
How much cheaper?
Luke wants to send 21 parcels by the Express service. He does the calculation 20 
£15 £300 to estimate the cost.
Explain why Luke’s calculation shows the actual cost will be more than £300
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer.
Also involves Rounding · Compound measures
A cycle race across America is 3069.25 miles in length.
Juan knows his average speed for his previous races is 15.12 miles per hour. For the next race across America he will cycle for 8 hours per day.
Estimate how many days Juan will take to complete the race.
Juan trains for the race. The average speed he can cycle at increases. It is now 16.27 miles per hour.
How does this affect your answer to part (a)?
A cycle race across America is 3069.25 miles in length.
Juan knows his average speed for his previous races is 15.12 miles per hour. For the next race across America he will cycle for 8 hours per day.
Estimate how many days Juan will take to complete the race.
Juan trains for the race. The average speed he can cycle at increases. It is now 16.27 miles per hour.
How does this affect your answer to part (a)?
Berenika wants to buy 35 T-shirts.
Each T-shirt costs £5.80 Berenika does the calculation 40 
6 = 240 to estimate the cost of 35 T-shirts.
Explain how Berenika’s calculation shows the actual cost will be less than £240
There is a special offer.
Work out the actual cost of buying 35 T-shirts using the special offer.
Ami’s answer is 27.1115 Josh’s answer is 271.115
One of these answers is correct.
Use approximations to find out which answer is correct.
Work out an estimate for the number of boxes of grass seed Balena needs. You must show your working.
Is your estimate for part (a) an underestimate or an overestimate? Give a reason for your answer.
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