The table shows the total electricity consumption in Singapore over three years.

  1. (a)
    1. (i)

      In 2021, the electricity consumed by households took up 15.5% of the total electricity consumption. Calculate the amount of electricity consumed by households in 2021, correct to two significant figures.

      Answer ... GWh

    2. (ii)

      Calculate the percentage increase in the total electricity consumption from 2020 to 2022.

      Answer ... %

    3. (iii)

      Express the 2020 electricity consumption in kilowatt hours (kWh), leaving your answer in standard form, correct to two significant figures.

      Answer ... kWh

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Worked solution

1(a)(i)

1. Calculate 15.5% of the 2021 total consumption.

From the table, the total electricity consumption in 2021 is 53 48353\,483 GWh.

15.5%×53 483=15.5100×53 483=8299.86515.5\% \times 53\,483 = \frac{15.5}{100}\times 53\,483 = 8299.865

2. Round the answer to two significant figures.

8299.865 GWh≈8300 GWh8299.865 \text{ GWh} \approx 8300 \text{ GWh}
correct to two significant figures.

Answer

83008300 GWh

1(a)(ii)

1. Find the increase in electricity consumption from 2020 to 2022.

Increase =54 884−50 779=4105= 54\,884 - 50\,779 = 4105 GWh

2. Calculate the percentage increase using the 2020 value as the original amount.

Percentage increase=410550 779×100%=8.0840505…%\text{Percentage increase}=\frac{4105}{50\,779}\times 100\% = 8.0840505\ldots\%
So, the percentage increase is 8.09%8.09\% to 3 significant figures.

Answer

8.09%8.09\%

1(a)(iii)

1. Convert the 2020 consumption from GWh to kWh and express it in standard form to two significant figures.

50 779 GWh=50 779×106 kWh50\,779\text{ GWh}=50\,779\times 10^6\text{ kWh}

=50 779 000 000 kWh=50\,779\,000\,000\text{ kWh}

=5.0779×1010 kWh=5.0779\times 10^{10}\text{ kWh}

Correct to two significant figures,

5.0779×1010≈5.1×10105.0779\times 10^{10}\approx 5.1\times 10^{10}

Answer

5.1×10105.1\times 10^{10} kWh

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