Hint
Use the stated units and precision. Add 180° and reduce to a valid three-figure bearing.
Worked solution
(a)
Add 180° and reduce to a valid three-figure bearing.
The reverse bearing is 234°.
Answer: \(234\)
(b)
Increase the bearing by the clockwise turn, allowing for a full revolution.
Adding the clockwise turn and reducing modulo 360 gives 123°.
Answer: \(123\)
(c)
Interpret the requested direction of rotation from the original heading.
The anticlockwise turn reverses the original clockwise bearing of 54°.
Answer: \(54\)
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: Add 180° and reduce to a valid three-figure bearing.
- 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: Increase the bearing by the clockwise turn, allowing for a full revolution.
- 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: Interpret the requested direction of rotation from the original heading.
- 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.