Hint
Use the stated units and precision. Apply the appropriate repeated multiplier to the initial quantity; compare with that initial value when finding a percentage.
Worked solution
(a)
Apply the appropriate repeated multiplier to the initial quantity; compare with that initial value when finding a percentage.
\(450\)
Answer: \(450\)
(b)
Apply the appropriate repeated multiplier to the initial quantity; compare with that initial value when finding a percentage.
\(405\)
Answer: \(405\)
(c)
Apply the appropriate repeated multiplier to the initial quantity; compare with that initial value when finding a percentage.
\(605\)
Answer: \(605\)
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: Apply the appropriate repeated multiplier to the initial quantity; compare with that initial value when finding a percentage.
- 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: Apply the appropriate repeated multiplier to the initial quantity; compare with that initial value when finding a percentage.
- 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: Apply the appropriate repeated multiplier to the initial quantity; compare with that initial value when finding a percentage.
- 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.