AQA · Mathematics · 8300
GCSE Maths: Units: converting areas
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions and answers for Units: converting areas (Corbettmaths Video 350), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
19 flashcards · Free to study · No account needed
Sign in and GCSE Zone remembers what you know: cards you have nailed drop out of your study until they are due again.
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
How many square centimeters are in 1 square meter?
Show answer
10,000 cm². (Since 1 m = 100 cm, so 1 m² = 100 × 100 = 10,000 cm²)
How many square millimeters are in 1 square centimeter?
Show answer
100 mm². (Since 1 cm = 10 mm, so 1 cm² = 10 × 10 = 100 mm²)
How many square meters are in 1 square kilometer?
Show answer
1,000,000 m². (Since 1 km = 1000 m, so 1 km² = 1000 × 1000 = 1,000,000 m²)
How many cubic centimeters are in 1 cubic meter?
Show answer
1,000,000 cm³. (Since 1 m = 100 cm, so 1 m³ = 100 × 100 × 100 = 1,000,000 cm³)
How many cubic millimeters are in 1 cubic centimeter?
Show answer
1,000 mm³. (Since 1 cm = 10 mm, so 1 cm³ = 10 × 10 × 10 = 1,000 mm³)
How many cubic centimeters equal 1 liter?
Show answer
1,000 cm³. (1 litre = 1,000 cm³)
How many milliliters equal 1 cubic centimeter?
Show answer
1 ml = 1 cm³. They are equivalent.
To convert from m² to cm², multiply by ?
Show answer
10,000
To convert from m³ to cm³, multiply by ?
Show answer
1,000,000
Why is the conversion factor for area (m² to cm²) different from the linear conversion factor (m to cm)?
Show answer
Because area is two-dimensional, you must square the linear conversion factor. For example, 1 m = 100 cm, but 1 m² = 100 × 100 = 10,000 cm².
Why is the conversion factor for volume (m³ to cm³) different from the linear conversion factor (m to cm)?
Show answer
Because volume is three-dimensional, you must cube the linear conversion factor. For example, 1 m = 100 cm, but 1 m³ = 100 × 100 × 100 = 1,000,000 cm³.
If a tile measures 20 cm by 20 cm, what is its area in square centimetres?
Show answer
400 cm². Area = 20 × 20 = 400 cm².
A floor measures 3 m by 5 m. What is the floor area in square metres?
Show answer
15 m². Area = 3 × 5 = 15 m².
A floor area is 15 m². How many square centimetres is this?
Show answer
150,000 cm². 15 × 10,000 = 150,000 cm².
How many 400 cm² tiles are needed to cover 150,000 cm²?
Show answer
375 tiles. 150,000 ÷ 400 = 375.
If tiles are sold in boxes of 10 and you need 375 tiles, how many boxes must you buy?
Show answer
38 boxes. 375 ÷ 10 = 37.5, so you must round up to 38 whole boxes.
What is the formula for the area of a circle in terms of radius r?
Show answer
A = πr², where π ≈ 3.14159.
How do you find the radius of a circle if you know its area A?
Show answer
Rearrange A = πr² to get r = √(A/π).
What is the relationship between the diameter and radius of a circle?
Show answer
Diameter = 2 × radius, or d = 2r.
Want to create your own cards? Create a free account. AI generation uses credits.