Hint
Use the stated units and precision. Use the correct lower/upper endpoint combination for the stated increasing or quotient expression.
Worked solution
(a)
Use the correct lower/upper endpoint combination for the stated increasing or quotient expression.
\(\displaystyle \frac{50721}{400}\)
Answer: \(\displaystyle \frac{50721}{400}\)
(b)
Use the correct lower/upper endpoint combination for the stated increasing or quotient expression.
\(\displaystyle \frac{51681}{400}\)
Answer: \(\displaystyle \frac{51681}{400}\)
(c)
Use the correct lower/upper endpoint combination for the stated increasing or quotient expression.
\(\displaystyle \frac{239}{5}\)
Answer: \(\displaystyle \frac{239}{5}\)
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: Use the correct lower/upper endpoint combination for the stated increasing or quotient expression.
- 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: Use the correct lower/upper endpoint combination for the stated increasing or quotient expression.
- 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 the correct lower/upper endpoint combination for the stated increasing or quotient expression.
- 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.