Hint
Use the stated units and precision. Rearrange the relevant rate formula and convert every stated unit consistently.
Worked solution
(a)
Rearrange the relevant rate formula and convert every stated unit consistently.
\(240\)
Answer: \(240\)
(b)
Rearrange the relevant rate formula and convert every stated unit consistently.
\(\displaystyle \frac{200}{3}\)
Answer: \(\displaystyle \frac{200}{3}\)
(c)
Rearrange the relevant rate formula and convert every stated unit consistently.
\(156\)
Answer: \(156\)
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: Rearrange the relevant rate formula and convert every stated unit consistently.
- 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: Rearrange the relevant rate formula and convert every stated unit consistently.
- 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: Rearrange the relevant rate formula and convert every stated unit consistently.
- 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.