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P4 Maths: Compass Directions and Angles (Paper 4 (error clinic))
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 4 (error clinic))
Paper 4 (error clinic): 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, you turn 90 degrees anticlockwise. Which direction are you facing now?
- FoundationFacing east, you turn 180 degrees clockwise. Which direction are you facing now?
- FoundationWhat is the smaller angle between north and south-west?
- IntermediateFacing west, you make a half turn. Which direction are you facing now?
- IntermediateFacing south-east, you turn 90 degrees clockwise. Which direction are you facing now?
- IntermediateFacing north-east, you turn 45 degrees clockwise. Which direction are you facing now?
- ChallengeFacing south, you turn 270 degrees clockwise. Which direction are you facing now?
- ChallengeHow many degrees apart are east and south?
- ChallengeOn a clock face, how many degrees does the hour hand turn from 12 to 6?
- Error redoTrue or false: in the eight compass points, south-east and south-west are only 45 degrees apart.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | West. | Anticlockwise is a turn to the left, so from north a 90-degree turn to the left gives west. |
| 2 | West. | A 180-degree turn is a half turn, and the opposite of east is west. |
| 3 | 135 degrees | North is 0 degrees and south-west is 225; the other way round from 225 to 360 is only 135 degrees, so the smaller angle is 135. |
| 4 | East. | A half turn is 180 degrees, and west plus 180 degrees is east. |
| 5 | South-west. | South-east is 135 degrees; adding 90 gives 225 degrees, which is south-west. |
| 6 | East. | North-east is 45 degrees; adding 45 gives 90 degrees, which is east. |
| 7 | East. | South is 180 degrees; adding 270 gives 450, and 450 minus 360 is 90, which is east. |
| 8 | 90 degrees | East is 90 degrees and south is 180 degrees, so they differ by 90 degrees, which is one right angle. |
| 9 | 180 degrees | The hour hand turns 30 degrees an hour, so six hours is 180 degrees, exactly half a turn. |
| 10 | False; they are 90 degrees apart. | South-east is 135 degrees and south-west is 225 degrees, so the gap is 90 degrees; 45-degree gaps are between south-east and south, for example. |
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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