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P1 Position and Direction Paper 2 (intermediate)
P1 Position and Direction Paper 2 (intermediate)
Ten intermediate items on grid routes, cancelling opposite moves and counting edges around a loop.
Direct answers Q1 5 squares, Q2 3 north, Q3 (3, 1), Q4 A, B, C, Q5 4 west, Q6 bottom right 6 squares, Q7 2 north, Q8 12 edges, Q9 5 south, Q10 2 west.
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: P1 Position and Direction |
| Level | P1 |
02 Questions (10 items)
- FoundationFrom the start walk 3 squares east, then 2 squares north. How many squares are walked in all?
- FoundationWalk 4 squares north, then 1 square south. How many squares north of the start are you?
- FoundationOn a grid, walk 2 squares east from (1, 1). Which square is reached?
- IntermediateA is north of B and B is north of C. Arrange the three from north to south.
- IntermediateWalking 4 squares east from home reaches school. Which way, and how far, is the walk home?
- IntermediateOn a 4 by 4 grid, walk 3 squares right from the top left corner, then 3 squares down. Which corner is reached and how far in all?
- ChallengeFrom the start walk 2 east, 3 north, 2 west and 1 south. Where do you end up relative to the start?
- ChallengeWalk once around the outside of a 3 by 3 grid of squares. How many square edges are walked?
- ChallengeFrom the start walk 5 east, 5 north and 5 west. Which way, and how far, returns to the start?
- Error redoWalk 3 squares east then 5 squares west and you are back at the start. Is this correct?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 5 squares | Add the two parts: 3 + 2 = 5 squares. |
| 2 | 3 squares | North and south cancel: 4 – 1 = 3, still north. |
| 3 | (3, 1) | Going east adds 2 to the sideways count, so (3, 1). |
| 4 | A, B, C | A is north of B who is north of C, so A is furthest north. |
| 5 | 4 squares west | The way home reverses the direction but keeps the distance. |
| 6 | the bottom right corner, 6 squares in all | 3 squares across plus 3 down makes 6. |
| 7 | 2 squares north of the start | East and west cancel, and north and south leave 3 – 1 = 2. |
| 8 | 12 edges | Each of the four sides has 3 edges, so 3 x 4 = 12. |
| 9 | 5 squares south | East and west cancel, leaving 5 squares north, so walk 5 south. |
| 10 | No, you end 2 squares west of the start | Opposite moves subtract: 5 – 3 = 2, and the larger move was west. |
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 every answer, then draw the route once on squared paper.Tutor Registration →
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