Hint
Use the stated units and precision. Multiply by the length conversion factor.
Worked solution
(a)
Multiply by the length conversion factor.
\(\displaystyle 6\times 100=600 \mathrm{cm}\).
Answer: \(600\)
(b)
Square the length conversion factor for area.
\(\displaystyle 3\times 100^{2}=30000 \mathrm{cm}^{2}\).
Answer: \(30000\)
(c)
Use 1000 cubic centimetres per litre.
\(\displaystyle 4\times 1000=4000 \mathrm{cm}^{3}\).
Answer: \(4000\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Multiply by the length conversion factor.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Square the length conversion factor for area.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Use 1000 cubic centimetres per litre.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.