This table shows the names and areas of five lakes. Name of Lake Area in km²: Ladoga 1.81 × 10⁴ Mweru 5.12 × 10³ Tana 3.20 × 10³ Topozero 9.86 × 10² Victoria 6.89 × 10⁴ (a) Write the area of Lake Mweru as an ordinary number. (b) Write the lakes in the order of their area, starting with the smallest. (c) Calculate the difference between the areas of Lake Ladoga and Lake Tana. Give your answer in standard form, correct to 2 significant figures.

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This table shows the names and areas of five lakes - OCR - GCSE Maths - Question 1 - 2021 - Paper 1

Question 1

This table shows the names and areas of five lakes. Name of Lake Area in km²: Ladoga 1.81 × 10⁴ Mweru 5.12 × 10³ Tana 3.20 × 10³ Topozero 9.86 × 10² Victoria 6.89 ×... show full transcript

Worked Solution & Example Answer:This table shows the names and areas of five lakes - OCR - GCSE Maths - Question 1 - 2021 - Paper 1

Step 1

Write the area of Lake Mweru as an ordinary number.

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Answer

The area of Lake Mweru in ordinary number form is 5120 km².

Step 2

Write the lakes in the order of their area, starting with the smallest.

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Answer

The order of the lakes by area, starting with the smallest, is:

Topozero (9.86 × 10² km² = 986 km²)
Tana (3.20 × 10³ km² = 3200 km²)
Mweru (5.12 × 10³ km² = 5120 km²)
Ladoga (1.81 × 10⁴ km² = 18100 km²)
Victoria (6.89 × 10⁴ km² = 68900 km²)

Step 3

Calculate the difference between the areas of Lake Ladoga and Lake Tana.

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Answer

To find the difference between the areas of Lake Ladoga (1.81 × 10⁴ km²) and Lake Tana (3.20 × 10³ km²):

Convert both areas to ordinary numbers:
- Lake Ladoga: 18100 km²
- Lake Tana: 3200 km²
Calculate the difference:

$18100 - 3200 = 14900$
Convert the difference back to standard form:
- The difference is 1.49 × 10⁴ km², rounded to 2 significant figures.

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