This table shows the names and areas of five lakes: | Name of Lake | Area in km² | |--------------|--------------| | Ladoga | 1.81 × 10^4 | | Mweru | 5.12 × 10^3 | | Tana | 3.20 × 10^3 | | Topozero | 9.86 × 10^2 | | Victoria | 6.89 × 10^4 | (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.

GCSE OCR Maths Standard Form: This table shows the names and a

This table shows the names and areas of five lakes: | Name of Lake | Area in km² | |--------------|--------------| | Ladoga | 1.81 × 10^4 | | Mweru | 5.12 × 10^3 | | Tana | 3.20 × 10^3 | | Topozero | 9.86 × 10^2 | | Victoria | 6.89 × 10^4 | (a) Write the area of Lake Mweru as an ordinary number - 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-×-10^4--|-|-Mweru--------|-5.12-×-10^3--|-|-Tana---------|-3.20-×-10^3--|-|-Topozero-----|-9.86-×-10^2--|-|-Victoria-----|-6.89-×-10^4--|--(a)-Write-the-area-of-Lake-Mweru-as-an-ordinary-number-OCR-GCSE Maths-Question 1-2021-Paper 1.png

This table shows the names and areas of five lakes: | Name of Lake | Area in km² | |--------------|--------------| | Ladoga | 1.81 × 10^4 | | Mweru | ... show full transcript

Worked Solution & Example Answer:This table shows the names and areas of five lakes: | Name of Lake | Area in km² | |--------------|--------------| | Ladoga | 1.81 × 10^4 | | Mweru | 5.12 × 10^3 | | Tana | 3.20 × 10^3 | | Topozero | 9.86 × 10^2 | | Victoria | 6.89 × 10^4 | (a) Write the area of Lake Mweru as an ordinary number - 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 is $5.12 imes 10^3 = 5120$ 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 from smallest to largest area is:

Topozero (986 km²)
Tana (3200 km²)
Mweru (5120 km²)
Ladoga (18100 km²)
Victoria (68900 km²)

Step 3

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

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101 rated

Answer

First, convert the areas:

Area of Lake Ladoga: $1.81 imes 10^4 = 18100$ km²
Area of Lake Tana: $3.20 imes 10^3 = 3200$ km²

Now, calculate the difference: $18100 - 3200 = 14900$

Expressing this in standard form gives: $1.49 imes 10^4$

Thus, the answer is $1.49 imes 10^4$ km².

Write the area of Lake Mweru as an ordinary number.

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

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

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