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A person’s heart beats approximately $10^6$ times each day - Edexcel - GCSE Maths - Question 11 - 2020 - Paper 3

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A person’s heart beats approximately $10^6$ times each day. A person lives for approximately 81 years. (a) Work out an estimate for the number of times a person’s h... show full transcript

Worked Solution & Example Answer:A person’s heart beats approximately $10^6$ times each day - Edexcel - GCSE Maths - Question 11 - 2020 - Paper 3

Step 1

(a) Work out an estimate for the number of times a person’s heart beats in their lifetime.

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Answer

To estimate the total number of heartbeats in a lifetime:

  1. Daily Heartbeat Rate: A person’s heart beats approximately 10610^6 times each day.
  2. Lifetime Duration: A person lives for 81 years, which translates to 81imes36581 imes 365 days. We can calculate: 81imes365=2956581 imes 365 = 29565 days.
  3. Total Heartbeats Calculation: Now, multiply the daily heartbeats by the number of days: 106imes29565=2.9565imes101010^6 imes 29565 = 2.9565 imes 10^{10}.
  4. Significant Figures: Rounding to 2 significant figures gives: 3.0imes10103.0 imes 10^{10} heartbeats.

Step 2

(b) Work out the average mass of 1 red blood cell.

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Answer

To find the average mass of one red blood cell:

  1. Total Mass of Red Blood Cells: We know that 2 x 101210^{12} red blood cells have a total mass of 90 grams.
  2. Average Mass Calculation: To find the average mass, divide the total mass by the number of red blood cells: 90 g2×1012=45×10−12 g\frac{90\,g}{2 \times 10^{12}} = 45 \times 10^{-12}\,g
  3. Convert to Standard Form: Converting this into standard form gives: 4.5×10−11 g4.5 \times 10^{-11}\,g.

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