1. map-route-reasoning-s01-q01
You are facing north. You turn 90° clockwise. Which direction are you now facing?
- North
- East
- South
- West
Answer:
This is untimed educational practice for one cognitive skill. It is not a clinical, diagnostic, employment, or professionally recognized assessment, and it does not produce an IQ score or credential.
One hundred untimed self-check questions on directions, grids, routes, timetables, and journey planning. Every question contains all the information you need. Work through the sections in order, as the difficulty builds.
Choose one answer for each item. For a delayed-recall item, read its study text, cover it, and then answer without looking back.
Start with the compass: work out which way you face after simple quarter and half turns.
1. map-route-reasoning-s01-q01
You are facing north. You turn 90° clockwise. Which direction are you now facing?
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2. map-route-reasoning-s01-q02
You are facing east. You turn 180° (a half turn). Which direction are you now facing?
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3. map-route-reasoning-s01-q03
You are facing south. You turn 90° anticlockwise. Which direction are you now facing?
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4. map-route-reasoning-s01-q04
Early one morning you walk directly towards the rising sun, then turn left. Which direction are you now facing?
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5. map-route-reasoning-s01-q05
On a standard map with no compass rose shown, which direction is conventionally at the top?
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6. map-route-reasoning-s01-q06
You are facing west. You turn 270° clockwise. Which direction are you now facing?
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7. map-route-reasoning-s01-q07
In a park, the library is directly north of the fountain and the café is directly south of the fountain. Which of the three is furthest north?
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8. map-route-reasoning-s01-q08
You are facing north. You turn left twice, 90° each time. Which direction are you now facing?
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9. map-route-reasoning-s01-q09
You are travelling due south along a road when you take a branch to your right. Which compass direction does the branch head?
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10. map-route-reasoning-s01-q10
A village lies directly west of a bridge. Standing in the village, in which direction is the bridge?
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Work out directions relative to a walker, driver, or another person's point of view.
11. map-route-reasoning-s02-q01
You walk a route that includes one left turn. Later you walk the same route in reverse. What does that left turn become on the way back?
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12. map-route-reasoning-s02-q02
You stand face to face with a friend. A door is on your right. On which side of your friend is the door?
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13. map-route-reasoning-s02-q03
You face north, then turn right, turn right again, and finally turn left (each turn is 90°). Which direction are you now facing?
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14. map-route-reasoning-s02-q04
A cyclist heads east, turns left, then left again, then right (each turn is 90°). Which direction is the cyclist now heading?
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15. map-route-reasoning-s02-q05
You face south and hold a map rotated so that south is at the top, matching your view. Which real-world direction lies off the left-hand edge of the map?
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16. map-route-reasoning-s02-q06
Walking into a building along a corridor, you pass a storeroom on your right. Walking back out along the same corridor, on which side is the storeroom?
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17. map-route-reasoning-s02-q07
Starting out facing west, you turn right 90°, left 90°, then right 90°. Which direction are you now facing?
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18. map-route-reasoning-s02-q08
A driver travelling north takes three consecutive right turns of 90° each. Which direction is the driver now travelling?
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19. map-route-reasoning-s02-q09
Two people walk towards each other along the same street: one heads north, the other heads south. A shop stands on the northbound walker's right. On which side is the shop for the southbound walker?
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20. map-route-reasoning-s02-q10
You and a friend stand back to back: you face north, your friend faces south. Each of you then turns 90° to your own right. How do your facing directions now compare?
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Locate points and count moves on lettered and numbered grids.
21. map-route-reasoning-s03-q01
On a map grid, x-values increase towards the east and y-values increase towards the north. In which direction do you travel going from (2, 3) to (5, 3)?
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22. map-route-reasoning-s03-q02
On the same style of grid (x east, y north), how many grid units apart are the points (4, 1) and (4, 6)?
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23. map-route-reasoning-s03-q03
A grid labels its columns A to E from west to east and its rows 1 to 5 from south to north. Which square is directly north of square C2?
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24. map-route-reasoning-s03-q04
On a city grid you may only move along grid lines (no diagonals). What is the minimum number of blocks from (1, 1) to (4, 5)?
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25. map-route-reasoning-s03-q05
On a grid where x increases east, which of these points lies furthest west: (−3, 2), (1, 5), (4, −2), or (0, 0)?
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26. map-route-reasoning-s03-q06
A footpath runs in a straight line from (2, 4) to (8, 4). At which point is the halfway marker?
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27. map-route-reasoning-s03-q07
On a grid with columns A to E running west to east and rows 1 to 5 running south to north, you stand at B2 and the flag is at D4. In which compass direction is the flag?
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28. map-route-reasoning-s03-q08
A drone starts at (0, 0), flies 6 units east, then 2 units north, then 2 units west. What are its final coordinates?
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29. map-route-reasoning-s03-q09
On a map, each grid square represents 500 m on the ground. How far apart in real distance are the grid points (1, 1) and (1, 5)?
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30. map-route-reasoning-s03-q10
On a lettered grid (columns A–E west to east, rows 1–5 south to north), which of these squares touches square C3 only at a corner, not along an edge?
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Track where a journey actually ends up, not just how far it travels.
31. map-route-reasoning-s04-q01
You walk 5 km north, then 5 km south. Where are you relative to your starting point?
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32. map-route-reasoning-s04-q02
A walker goes 6 km north, then 2 km south. Where do they finish relative to the start?
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33. map-route-reasoning-s04-q03
You walk 3 km north, then 4 km east. What is the straight-line distance back to your starting point?
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34. map-route-reasoning-s04-q04
A hiker walks 2 km west, then 5 km north, then 2 km east. Where do they finish relative to the start?
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35. map-route-reasoning-s04-q05
A jogger runs one complete lap of a 400 m park circuit, finishing back at the gate where they started. How far is the jogger from their starting point?
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36. map-route-reasoning-s04-q06
A delivery rider goes 8 km east, then 3 km west, then 2 km west. Where do they finish relative to the start?
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37. map-route-reasoning-s04-q07
You travel 6 km south, then 6 km west. Which single compass direction best describes where you now are relative to your starting point?
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38. map-route-reasoning-s04-q08
A courier drives 5 km north, then 12 km east. What is the straight-line distance from the starting point to the finishing point?
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39. map-route-reasoning-s04-q09
A walker goes 7 km north, then 4 km south, then 3 km south. Where do they finish relative to the start?
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40. map-route-reasoning-s04-q10
You walk 1 km north, 2 km east, 3 km south, then 2 km west. Where are you relative to your starting point?
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Build a mental map from written directions and landmark clues.
41. map-route-reasoning-s05-q01
From the station, the museum is two streets to the north and the bakery is one street to the north. Which building is closer to the station?
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42. map-route-reasoning-s05-q02
The town hall is east of the fountain, and the market is east of the town hall. Where is the market relative to the fountain?
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43. map-route-reasoning-s05-q03
The school sits between the park and the pool along one straight road, and the park is at the road's western end. Which of the three is furthest east?
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44. map-route-reasoning-s05-q04
A bus passes the cinema before the stadium, and the stadium before the hospital. Which of the three stops does it reach second?
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45. map-route-reasoning-s05-q05
To reach Anna's house from the church, walk one block north, then one block east. Which route takes you from Anna's house back to the church?
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46. map-route-reasoning-s05-q06
A signpost on a straight road reads: Ford 3 km and Elm 5 km, both in the same direction. How far is it from Ford to Elm along the road?
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47. map-route-reasoning-s05-q07
A signpost on a straight road points to Ford, 3 km one way, and Elm, 5 km the opposite way. How far is it from Ford to Elm along the road?
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48. map-route-reasoning-s05-q08
Driving out of town you pass, in order, a farm, a windmill, and a bridge. Driving back along the same road, which do you pass second?
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49. map-route-reasoning-s05-q09
The café is north of the town square and the gallery is west of the square. Standing in the square facing the café, on which side of you is the gallery?
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50. map-route-reasoning-s05-q10
The hotel is two blocks east of the station, and the theatre is one block north of the hotel. Walking only along blocks, how many blocks is the station from the theatre?
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Read departure times, journey lengths, and waiting times from schedule facts.
51. map-route-reasoning-s06-q01
A bus leaves at 09:20 and the journey takes 25 minutes. At what time does it arrive?
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52. map-route-reasoning-s06-q02
Trains run every 15 minutes starting at 07:00. You reach the platform at 07:20. How long do you wait for the next train?
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53. map-route-reasoning-s06-q03
Bus A departs at 08:05 and arrives at 08:50. Bus B departs at 08:20 and arrives at 08:55. Which bus has the shorter journey time?
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54. map-route-reasoning-s06-q04
A tram leaves at 10:45 and the ride takes 30 minutes. At what time does it arrive?
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55. map-route-reasoning-s06-q05
A museum closes at 17:00 and recommends allowing at least 45 minutes for a visit. What is the latest entry time that still allows the full 45 minutes?
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56. map-route-reasoning-s06-q06
A train departs at 14:32 and arrives at 15:18. How long is the journey?
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57. map-route-reasoning-s06-q07
Your train arrives at 12:10. Connecting buses leave on the hour and on the half hour. How long is your wait?
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58. map-route-reasoning-s06-q08
A journey takes 40 minutes. Departures are at 08:05, 08:15, 08:25, and 08:35. Which is the latest departure that arrives by 09:00?
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59. map-route-reasoning-s06-q09
An overnight coach departs at 23:40 and arrives at 06:10 the next morning. How long is the journey?
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60. map-route-reasoning-s06-q10
Ferries leave every 40 minutes, with the first at 06:00. Which is the first departure after 08:30?
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Pick the workable route when closures, tolls, and vehicle limits rule others out.
61. map-route-reasoning-s07-q01
Route 1 to the harbour is 10 km on open roads. Route 2 is 8 km but crosses a bridge that is closed for repairs. Which route should you take, and why?
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62. map-route-reasoning-s07-q02
Route A is 12 km. Route B is 15 km. Route C is normally 11 km but roadworks force a detour adding 5 km. Which route is now the shortest?
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63. map-route-reasoning-s07-q03
Route A is 20 km driven at 60 km/h. Route B is 15 km driven at 30 km/h. Which route gets you there sooner?
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64. map-route-reasoning-s07-q04
Route X takes 30 minutes but includes a £2 toll. Route Y is free but takes 45 minutes. How much time does paying the toll save?
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65. map-route-reasoning-s07-q05
The direct street from the cinema to the bank is 3 blocks, but it is one-way against you. The shortest permitted driving route is 5 blocks. How many extra blocks does the one-way rule cost you?
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66. map-route-reasoning-s07-q06
A driver must visit three sites, P, Q, and R, one after another, and Q must be visited before R. How many different visiting orders are possible?
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67. map-route-reasoning-s07-q07
A car has a range of 150 km on a full tank. Route A is 120 km. Route B is 90 km. Route C is 160 km with no fuel stations along the way. Which route is NOT possible without refuelling?
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68. map-route-reasoning-s07-q08
Your commute is a 10-minute walk to the station, a 25-minute train ride, and a 5-minute walk at the other end. To arrive by 09:00, what is the latest time you can leave home?
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69. map-route-reasoning-s07-q09
A lorry is 3.2 m tall and weighs 10 tonnes. Route A passes under a bridge with 3.0 m clearance. Route B has a 3.5 m bridge but is 20 km longer. Route C has a 7.5-tonne weight limit. Which route can the lorry use?
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70. map-route-reasoning-s07-q10
You need to drive into town on a Monday. North Road is closed every Monday, South Road is closed at weekends, and East Lane is closed all this week for resurfacing. Which road can you use?
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Convert between three-figure bearings and compass directions, including diagonal headings.
71. map-route-reasoning-s08-q01
Which compass direction lies exactly halfway between north and east?
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72. map-route-reasoning-s08-q02
Bearings are measured clockwise from north, so north is 000°. Which direction does a bearing of 090° point?
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73. map-route-reasoning-s08-q03
Which compass direction corresponds to a bearing of 225°?
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74. map-route-reasoning-s08-q04
You are facing north-east and turn 90° clockwise. Which direction are you now facing?
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75. map-route-reasoning-s08-q05
A walker heads out on a bearing of 060°. What bearing takes them directly back the way they came?
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76. map-route-reasoning-s08-q06
A hiker walks 2 km north-east, then 2 km south-west. Where do they finish relative to the start?
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77. map-route-reasoning-s08-q07
The bearing from camp A to camp B is 045°. What is the bearing from camp B back to camp A?
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78. map-route-reasoning-s08-q08
A ship sails 6 km on a bearing of 180°, then 6 km on a bearing of 270°. Which direction is the ship from its starting point?
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79. map-route-reasoning-s08-q09
Which compass direction corresponds to a bearing of 135°?
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80. map-route-reasoning-s08-q10
A hiker walks 4 km on a bearing of 090°, then 4 km on a bearing of 000°. What is the approximate bearing from the starting point straight to the hiker's final position?
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Combine legs, transfers, waits, and speeds into a single journey plan.
81. map-route-reasoning-s09-q01
A journey is a 40-minute train ride, a 10-minute wait to transfer, then a 25-minute bus ride. How long is the whole journey?
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82. map-route-reasoning-s09-q02
You set off at 09:10 on a journey that takes 1 hour 15 minutes in total. When do you arrive?
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83. map-route-reasoning-s09-q03
A driver covers 60 km in the first hour and 40 km in the second hour. What is the average speed across the whole journey?
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84. map-route-reasoning-s09-q04
A route is a 1.5 km walk followed by an 800 m walk. What is the total distance in kilometres?
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85. map-route-reasoning-s09-q05
Your train arrives at the port at 11:05. Ferries depart at 11:00 and then every 45 minutes. How long do you wait for the next ferry?
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86. map-route-reasoning-s09-q06
Along one straight road from your home at kilometre 0 are the library (km 2), the shop (km 5), and the pool (km 6). Visiting all three in a single out-and-back trip from home, what is the minimum total distance?
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87. map-route-reasoning-s09-q07
A journey has three travel legs of 20 minutes each and two waits of 12 minutes each between them. How long is the journey in total?
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88. map-route-reasoning-s09-q08
To reach an appointment by 18:00 you need a 35-minute bus ride followed by a 10-minute walk. What is the latest time you can board the bus?
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89. map-route-reasoning-s09-q09
The train costs £8 and takes 50 minutes door to door. The coach costs £5 but takes 80 minutes plus a 10-minute walk. How much longer is the cheaper option?
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90. map-route-reasoning-s09-q10
A cyclist rides 12 km east in 45 minutes, rests for 15 minutes, then rides 8 km further east in 30 minutes. What is the average speed for the whole trip, including the rest?
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Bring every skill together: counting routes, layered constraints, and meeting-point puzzles.
91. map-route-reasoning-s10-q01
On a city grid you must travel exactly 3 blocks east and 2 blocks north, moving only east or north at each step. How many different shortest routes are there?
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92. map-route-reasoning-s10-q02
Moving only east or north on a grid from (0, 0) to (2, 2), there are 6 shortest routes. If the intersection at (1, 1) is closed, how many shortest routes remain?
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93. map-route-reasoning-s10-q03
You start facing south, turn 90° left, then 180° right, then 90° left. Which direction are you now facing?
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94. map-route-reasoning-s10-q04
Five villages sit along one straight east–west road. M is west of N. P is east of N. Q is between M and N. R is east of P. Which village is in the middle of the five?
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95. map-route-reasoning-s10-q05
Trains leave Ashford for Byfield at 10:00, 10:40, and 11:20, and the journey takes 55 minutes. You must reach Byfield by 12:00. What is the latest train you can catch?
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96. map-route-reasoning-s10-q06
A ship sails 10 km on a bearing of 090°, then 10 km on a bearing of 180°. What is the bearing from the starting point straight to the ship's final position?
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97. map-route-reasoning-s10-q07
Three crossings span a river: a bridge open 06:00 to 20:00, a ferry that departs on the half hour every hour, and a tunnel open at all times. At 21:15, which crossing can you use immediately?
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98. map-route-reasoning-s10-q08
Your direct route is 3 blocks east along one street. The block between the second and third intersections is closed, so at the second intersection you must go 1 block north, 1 block east, then 1 block south to rejoin the street. How many blocks is the full journey?
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99. map-route-reasoning-s10-q09
Ali starts at the west end of an 18 km trail walking east at 4 km/h. Beth starts at the east end at the same time walking west at 5 km/h. How far from the west end do they meet?
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100. map-route-reasoning-s10-q10
Starting at 14:00, a courier must visit a bank (closes 14:30), a depot (opens 14:30), and a print shop (open all afternoon). Each visit takes 10 minutes, and travel between any two locations, or from the start, takes 10 minutes. Which site must the courier visit first?
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