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# Maths estimation question watch

1. Q. In a competition a prize is won every 2014 seconds.
ESTIMATE number of prizes won in 24 hours.

The exact value of the answer is 42.899970209 prizes
The mark scheme ( not official but done by maths genie ) shows that the answer should be 36.

My working out

2014 seconds = 2000 seconds ( 1 sig fig )
2000/60 = Number of minutes.
2000/60 = 33. 333333 ..... mins
There fore = 30 mins (1 sig fig )
1 prize per 30 mins
there fore 48 Prizes in 24 hours.

Would my answer be acceptable , it is more closer to the real answer than the one provided by maths genie.
2. (Original post by AverageHuman)
Q. In a competition a prize is won every 2014 seconds.
ESTIMATE number of prizes won in 24 hours.

The exact value of the answer is 42.899970209 prizes
The mark scheme ( not official but done by maths genie ) shows that the answer should be 36.

My working out

2014 seconds = 2000 seconds ( 1 sig fig )
2000/60 = Number of minutes.
2000/60 = 33. 333333 ..... mins
There fore = 30 mins (1 sig fig )
1 prize per 30 mins
there fore 48 Prizes in 24 hours.

Would my answer be acceptable , it is more closer to the real answer than the one provided by maths genie.
I would say that’s right
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3. (Original post by AverageHuman)
Q. In a competition a prize is won every 2014 seconds.
ESTIMATE number of prizes won in 24 hours.

The exact value of the answer is 42.899970209 prizes
The mark scheme ( not official but done by maths genie ) shows that the answer should be 36.

My working out

2014 seconds = 2000 seconds ( 1 sig fig )
2000/60 = Number of minutes.
2000/60 = 33. 333333 ..... mins
There fore = 30 mins (1 sig fig )
1 prize per 30 mins
there fore 48 Prizes in 24 hours.

Would my answer be acceptable , it is more closer to the real answer than the one provided by maths genie.
The official mark scheme accepts any answer 35-50 with correct arithmetic methods and some appropriate rounding.
Typically though for estimations EDEXCEL expects you to round your numbers to one significant figure and then do the calculation, they usually design the numbers so that the calculation is then very easy. It's amazing that people are happy to round most things but feel really uncomfortable rounding 24 hours to 20.
(20 X 60 X 60) divided by 2000 is a very easy calculation that leads to 36
(24 X 60 X 60) divided by 2000 is a bit harder.
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