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1.10.6 Trapezium rule (A-level only)

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Question 3

Sasha monitors the rate of water flow RRR (in litres per minute) into a drainage tank during a 12-minute heavy storm. The readings taken from a sensor at 2-minute intervals are recorded in the table below:

t (min)024681012R (L/min)450112024804750510039501850 \begin{array}{|c|c|c|c|c|c|c|c|} \hline t \text{ (min)} & 0 & 2 & 4 & 6 & 8 & 10 & 12 \\ \hline R \text{ (L/min)} & 450 & 1120 & 2480 & 4750 & 5100 & 3950 & 1850 \\ \hline \end{array} t (min)R (L/min)​0450​21120​42480​64750​85100​103950​121850​​

Sasha claims that, during this 12-minute period, the total volume of water that entered the tank is approximately 37,00037,00037,000 litres.

By applying the trapezium rule to all the data in the table, determine if Sasha's estimate is correct to the nearest 1,0001,0001,000 litres. Show your working clearly.

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Markscheme

1.10.6 Trapezium rule (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.10.6 Trapezium rule (A-level only)

43 exam-style questions on OCR (MEI) A Level Maths 1.10.6 Trapezium rule (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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