The table shows the names and areas of five lakes - OCR - GCSE Maths - Question 14 - 2021 - Paper 3

To order the lakes by area from smallest to largest:

1. Topozero - 9.86 × 10² = 986 km²
2. Victoria - 6.89 × 10² = 689 km²
3. Tana - 3.20 × 10³ = 3200 km²
4. Mweru - 5.12 × 10³ = 5120 km²
5. Ladoga - 1.81 × 10⁴ = 18100 km²

Thus, the order from smallest to largest is: Topozero, Victoria, Tana, Mweru, Ladoga.

To find the difference in areas:

• Area of Lake Ladoga: $1.81 imes 10^4 = 18100 ext{ km}^2$
• Area of Lake Tana: $3.20 imes 10^3 = 3200 ext{ km}^2$

Calculating the difference:

$ext{Difference} = 18100 - 3200 = 14900 ext{ km}^2$

Converting to standard form gives:

$14900 = 1.49 imes 10^4 ext{ km}^2$

So, the difference between the areas of Lake Ladoga and Lake Tana is 1.49 × 10⁴ km².