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P4 Maths: Compass Directions and Angles (Paper 3 (challenge))
Tutor Prep Guide · Naming and ordering the eight compass points, clockwise and anticlockwise turns, angles between directions, opposite directions and clock-face turns
P4 Maths: Compass Directions and Angles (Paper 3 (challenge))
Paper 3 (challenge): ten compass questions on the eight points, clockwise and anticlockwise turns, angles between directions and opposite directions, with answers and one-line notes.
Direct answers Level: P4 maths; format: the eight compass points, clockwise and anticlockwise turns, angles between directions, opposite directions and clock-face turns.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: P4 Maths: Compass Directions and Angles |
| Level | P4 |
02 Questions (10 items)
- FoundationFacing north-west, you turn 270 degrees clockwise. Which direction are you facing now?
- FoundationFacing east, you turn 135 degrees clockwise and then 270 degrees anticlockwise. Which direction do you face?
- FoundationFacing south, you turn three right angles anticlockwise. Which direction are you facing now?
- IntermediateA is south-east of B. In which direction is B from A?
- IntermediateOn a clock face, how many degrees does the hour hand turn from 12 to 3?
- IntermediateHow many degrees does the minute hand turn from 12 to the 20-minute mark?
- ChallengeFacing east, you turn x degrees clockwise and then face south-west. What is x?
- ChallengeFacing north-east, you turn one and a half right angles anticlockwise. Which direction are you facing now?
- ChallengeA is north of B and C is east of B. In which direction does A look to see C?
- Error redoTrue or false: after turning 45 degrees anticlockwise from east you face south-east.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | South-west. | North-west is 315 degrees; adding 270 gives 585, and 585 minus 360 is 225, which is south-west. |
| 2 | North-west. | 90 plus 135 is 225; subtracting 270 gives minus 45, and adding 360 gives 315 degrees, which is north-west. |
| 3 | West. | Three right angles make 270 degrees; south is 180, and 180 minus 270 plus 360 is 270 degrees, which is west. |
| 4 | North-west. | Looking back the other way means a difference of 180 degrees, and the opposite of south-east is north-west. |
| 5 | 90 degrees | The hour hand moves 30 degrees each hour, and 12 to 3 is three hours, so 3 times 30 is 90 degrees. |
| 6 | 120 degrees | The minute hand moves 6 degrees a minute, so 20 minutes is 20 times 6, which is 120 degrees. |
| 7 | 135 degrees | East is 90 degrees and south-west is 225 degrees, so going clockwise takes 225 minus 90, which is 135 degrees. |
| 8 | West. | One and a half right angles is 135 degrees; north-east is 45, and 45 minus 135 plus 360 is 270 degrees, which is west. |
| 9 | South-east. | From A you go south to B and then east, so the combined direction is south-east. |
| 10 | False; you face north-east. | East is 90 degrees and anticlockwise subtracts, so 90 minus 45 is 45 degrees, which is north-east; south-east would need a clockwise turn. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Check the answers; for a wrong item, change the direction into degrees again and decide whether the turn adds or subtracts.Tutor Registration →
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