Map and route reasoning: navigation practice: open practice pack ################################################################ 100 untimed questions across 10 authored sections. Pack: cognitive-skills-map-route-reasoning Source: cognitive-skills Pack version: v1 Worksheet items: 100 Authored hints: 0 Worked explanations: 100 ! 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. ! The answer key and worked explanations in this file belong only to this public, untimed educational practice source. No active aptitude suite or Novus Reasoning Challenge answer key is ever included in any download. Learner worksheet ================= 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. Cardinal directions and simple turns ------------------------------------ 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? - A. North - B. East - C. South - D. West Your answer: ______ 2. map-route-reasoning-s01-q02 ------------------------------ You are facing east. You turn 180° (a half turn). Which direction are you now facing? - A. North - B. South - C. East - D. West Your answer: ______ 3. map-route-reasoning-s01-q03 ------------------------------ You are facing south. You turn 90° anticlockwise. Which direction are you now facing? - A. East - B. West - C. North - D. South Your answer: ______ 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? - A. North - B. South - C. East - D. West Your answer: ______ 5. map-route-reasoning-s01-q05 ------------------------------ On a standard map with no compass rose shown, which direction is conventionally at the top? - A. South - B. East - C. North - D. West Your answer: ______ 6. map-route-reasoning-s01-q06 ------------------------------ You are facing west. You turn 270° clockwise. Which direction are you now facing? - A. North - B. East - C. South - D. West Your answer: ______ 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? - A. The café - B. The library - C. The fountain - D. They are all level Your answer: ______ 8. map-route-reasoning-s01-q08 ------------------------------ You are facing north. You turn left twice, 90° each time. Which direction are you now facing? - A. East - B. West - C. North - D. South Your answer: ______ 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? - A. East - B. West - C. North - D. South Your answer: ______ 10. map-route-reasoning-s01-q10 ------------------------------- A village lies directly west of a bridge. Standing in the village, in which direction is the bridge? - A. West - B. North - C. South - D. East Your answer: ______ Left, right, and relative direction ----------------------------------- 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? - A. A left turn - B. A right turn - C. Straight ahead - D. A U-turn Your answer: ______ 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? - A. Their right - B. Behind them - C. Their left - D. Directly in front of them Your answer: ______ 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? - A. North - B. South - C. East - D. West Your answer: ______ 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? - A. North - B. West - C. South - D. East Your answer: ______ 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? - A. East - B. West - C. North - D. South Your answer: ______ 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? - A. On your right - B. On your left - C. Straight ahead - D. Behind the entrance Your answer: ______ 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? - A. North - B. South - C. East - D. West Your answer: ______ 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? - A. East - B. South - C. North - D. West Your answer: ______ 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? - A. Their right - B. Their left - C. Directly ahead - D. Directly behind Your answer: ______ 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? - A. The same direction - B. Directions at right angles - C. It cannot be determined - D. Opposite directions Your answer: ______ Grid references and coordinates ------------------------------- 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)? - A. North - B. South - C. East - D. West Your answer: ______ 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)? - A. 4 - B. 5 - C. 6 - D. 7 Your answer: ______ 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? - A. B2 - B. C3 - C. D2 - D. C1 Your answer: ______ 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)? - A. 7 - B. 6 - C. 8 - D. 5 Your answer: ______ 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)? - A. (1, 5) - B. (−3, 2) - C. (4, −2) - D. (0, 0) Your answer: ______ 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? - A. (4, 4) - B. (6, 4) - C. (5, 4) - D. (5, 0) Your answer: ______ 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? - A. North-west - B. South-east - C. North-east - D. South-west Your answer: ______ 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? - A. (4, 2) - B. (6, 2) - C. (2, 4) - D. (8, 2) Your answer: ______ 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)? - A. 1.5 km - B. 2.5 km - C. 4 km - D. 2 km Your answer: ______ 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? - A. C4 - B. D3 - C. C2 - D. B2 Your answer: ______ Distance, displacement, and cancelling legs ------------------------------------------- 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? - A. 5 km north - B. 5 km south - C. At the starting point - D. 10 km north Your answer: ______ 32. map-route-reasoning-s04-q02 ------------------------------- A walker goes 6 km north, then 2 km south. Where do they finish relative to the start? - A. 8 km north - B. 4 km south - C. 2 km north - D. 4 km north Your answer: ______ 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? - A. 5 km - B. 6 km - C. 7 km - D. 12 km Your answer: ______ 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? - A. 4 km north - B. 5 km north - C. 5 km north-east - D. 9 km north Your answer: ______ 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? - A. 400 m - B. 200 m - C. 0 m - D. 100 m Your answer: ______ 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? - A. 3 km east - B. 3 km west - C. 13 km east - D. 5 km east Your answer: ______ 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? - A. South-east - B. South-west - C. North-west - D. Due south Your answer: ______ 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? - A. 13 km - B. 17 km - C. 12 km - D. 15 km Your answer: ______ 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? - A. 3 km north of the start - B. 3 km south of the start - C. 14 km north of the start - D. Back at the start Your answer: ______ 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? - A. 2 km north - B. 2 km south - C. 2 km east - D. Back at the start Your answer: ______ Verbal route descriptions and landmarks --------------------------------------- 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? - A. The museum - B. They are equally close - C. It cannot be determined - D. The bakery Your answer: ______ 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? - A. West of it - B. North of it - C. East of it - D. It cannot be determined Your answer: ______ 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? - A. The park - B. The school - C. The pool - D. They are side by side Your answer: ______ 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? - A. The cinema - B. The hospital - C. The stadium - D. It cannot be determined Your answer: ______ 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? - A. One block west, then one block south - B. One block east, then one block north - C. One block north, then one block east - D. One block south, then one block east Your answer: ______ 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? - A. 2 km - B. 3 km - C. 5 km - D. 8 km Your answer: ______ 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? - A. 2 km - B. 15 km - C. 5 km - D. 8 km Your answer: ______ 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? - A. The farm - B. The windmill - C. The bridge - D. It depends on your speed Your answer: ______ 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? - A. Your left - B. Your right - C. Behind you - D. Straight ahead Your answer: ______ 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? - A. 2 - B. 3 - C. 4 - D. 1 Your answer: ______ Timetables and departures ------------------------- 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? - A. 09:40 - B. 09:45 - C. 09:50 - D. 09:55 Your answer: ______ 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? - A. 5 minutes - B. 15 minutes - C. 10 minutes - D. 20 minutes Your answer: ______ 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? - A. Bus A - B. Bus B - C. They are equal - D. It cannot be determined Your answer: ______ 54. map-route-reasoning-s06-q04 ------------------------------- A tram leaves at 10:45 and the ride takes 30 minutes. At what time does it arrive? - A. 11:05 - B. 11:10 - C. 11:15 - D. 11:25 Your answer: ______ 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? - A. 16:00 - B. 16:30 - C. 16:45 - D. 16:15 Your answer: ______ 56. map-route-reasoning-s06-q06 ------------------------------- A train departs at 14:32 and arrives at 15:18. How long is the journey? - A. 44 minutes - B. 46 minutes - C. 48 minutes - D. 54 minutes Your answer: ______ 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? - A. 10 minutes - B. 15 minutes - C. 20 minutes - D. 30 minutes Your answer: ______ 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? - A. 08:15 - B. 08:25 - C. 08:05 - D. 08:35 Your answer: ______ 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? - A. 6 hours 30 minutes - B. 5 hours 30 minutes - C. 7 hours 30 minutes - D. 6 hours 50 minutes Your answer: ______ 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? - A. 08:20 - B. 08:30 - C. 09:00 - D. 08:40 Your answer: ______ Route choice under constraints ------------------------------ 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? - A. Route 2, because it is shorter - B. Route 1, because Route 2 is impassable - C. Either, as they are equivalent - D. Neither route reaches the harbour Your answer: ______ 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? - A. Route A - B. Route B - C. Route C - D. They are all equal Your answer: ______ 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? - A. Route A, because it takes less time - B. Route B, because it is shorter - C. They take the same time - D. It cannot be determined Your answer: ______ 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? - A. 10 minutes - B. 20 minutes - C. 15 minutes - D. 30 minutes Your answer: ______ 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? - A. 1 - B. 2 - C. 3 - D. 5 Your answer: ______ 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? - A. 2 - B. 4 - C. 6 - D. 3 Your answer: ______ 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? - A. Route A - B. Route B - C. Route C - D. All three are possible Your answer: ______ 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? - A. 08:15 - B. 08:25 - C. 08:30 - D. 08:20 Your answer: ______ 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? - A. Route A - B. Route B - C. Route C - D. None of them Your answer: ______ 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? - A. North Road - B. East Lane - C. South Road - D. No road is available Your answer: ______ Bearings and intercardinal navigation ------------------------------------- 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? - A. North-west - B. South-east - C. North-east - D. South-west Your answer: ______ 72. map-route-reasoning-s08-q02 ------------------------------- Bearings are measured clockwise from north, so north is 000°. Which direction does a bearing of 090° point? - A. North - B. East - C. South - D. West Your answer: ______ 73. map-route-reasoning-s08-q03 ------------------------------- Which compass direction corresponds to a bearing of 225°? - A. South-west - B. South-east - C. North-west - D. North-east Your answer: ______ 74. map-route-reasoning-s08-q04 ------------------------------- You are facing north-east and turn 90° clockwise. Which direction are you now facing? - A. South-east - B. North-west - C. South-west - D. East Your answer: ______ 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? - A. 120° - B. 300° - C. 240° - D. 060° Your answer: ______ 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? - A. North-east of the start - B. South-west of the start - C. North of the start - D. Back at the start Your answer: ______ 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? - A. 045° - B. 135° - C. 315° - D. 225° Your answer: ______ 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? - A. South-east - B. South-west - C. North-west - D. Due south Your answer: ______ 79. map-route-reasoning-s08-q09 ------------------------------- Which compass direction corresponds to a bearing of 135°? - A. North-east - B. South-east - C. South-west - D. North-west Your answer: ______ 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? - A. 045° - B. 090° - C. 315° - D. 135° Your answer: ______ Multi-leg journey planning -------------------------- 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? - A. 1 hour 5 minutes - B. 55 minutes - C. 1 hour 25 minutes - D. 1 hour 15 minutes Your answer: ______ 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? - A. 10:15 - B. 10:20 - C. 10:25 - D. 10:35 Your answer: ______ 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? - A. 45 km/h - B. 50 km/h - C. 55 km/h - D. 60 km/h Your answer: ______ 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? - A. 2.3 km - B. 2.13 km - C. 2.8 km - D. 3.2 km Your answer: ______ 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? - A. 40 minutes - B. 45 minutes - C. 5 minutes - D. 55 minutes Your answer: ______ 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? - A. 26 km - B. 16 km - C. 12 km - D. 13 km Your answer: ______ 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? - A. 1 hour 12 minutes - B. 1 hour 24 minutes - C. 1 hour 36 minutes - D. 1 hour 4 minutes Your answer: ______ 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? - A. 17:05 - B. 17:10 - C. 17:20 - D. 17:15 Your answer: ______ 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? - A. 30 minutes - B. 35 minutes - C. 40 minutes - D. 45 minutes Your answer: ______ 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? - A. 10 km/h - B. 15 km/h - C. 20 km/h - D. About 13 km/h Your answer: ______ Complex navigation problems --------------------------- 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? - A. 6 - B. 8 - C. 10 - D. 12 Your answer: ______ 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? - A. 2 - B. 3 - C. 4 - D. 6 Your answer: ______ 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? - A. North - B. East - C. South - D. West Your answer: ______ 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? - A. Q - B. N - C. P - D. M Your answer: ______ 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? - A. The 10:00 - B. The 10:40 - C. The 11:20 - D. None arrives in time Your answer: ______ 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? - A. 090° - B. 315° - C. 225° - D. 135° Your answer: ______ 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? - A. The bridge - B. The ferry - C. The tunnel - D. None of them Your answer: ______ 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? - A. 4 - B. 5 - C. 6 - D. 7 Your answer: ______ 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? - A. 8 km - B. 9 km - C. 10 km - D. 4.5 km Your answer: ______ 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? - A. The depot - B. The print shop - C. Any order works - D. The bank Your answer: ______ Authored hints ============== This cognitive practice source does not publish authored hints. Every item is listed as missing a hint, and no hint text is generated or inferred. 100 worksheet items do not have an authored hint. No hint text was generated for them. Answer key ========== ! The answer key and worked explanations in this file belong only to this public, untimed educational practice source. No active aptitude suite or Novus Reasoning Challenge answer key is ever included in any download. Map and route reasoning: navigation practice: open practice pack answer key Item Choice Answer --------------------------- ------ -------------------------------------- map-route-reasoning-s01-q01 B East map-route-reasoning-s01-q02 D West map-route-reasoning-s01-q03 A East map-route-reasoning-s01-q04 A North map-route-reasoning-s01-q05 C North map-route-reasoning-s01-q06 C South map-route-reasoning-s01-q07 B The library map-route-reasoning-s01-q08 D South map-route-reasoning-s01-q09 B West map-route-reasoning-s01-q10 D East map-route-reasoning-s02-q01 B A right turn map-route-reasoning-s02-q02 C Their left map-route-reasoning-s02-q03 C East map-route-reasoning-s02-q04 A North map-route-reasoning-s02-q05 A East map-route-reasoning-s02-q06 B On your left map-route-reasoning-s02-q07 A North map-route-reasoning-s02-q08 D West map-route-reasoning-s02-q09 B Their left map-route-reasoning-s02-q10 D Opposite directions map-route-reasoning-s03-q01 C East map-route-reasoning-s03-q02 B 5 map-route-reasoning-s03-q03 B C3 map-route-reasoning-s03-q04 A 7 map-route-reasoning-s03-q05 B (−3, 2) map-route-reasoning-s03-q06 C (5, 4) map-route-reasoning-s03-q07 C North-east map-route-reasoning-s03-q08 A (4, 2) map-route-reasoning-s03-q09 D 2 km map-route-reasoning-s03-q10 D B2 map-route-reasoning-s04-q01 C At the starting point map-route-reasoning-s04-q02 D 4 km north map-route-reasoning-s04-q03 A 5 km map-route-reasoning-s04-q04 B 5 km north map-route-reasoning-s04-q05 C 0 m map-route-reasoning-s04-q06 A 3 km east map-route-reasoning-s04-q07 B South-west map-route-reasoning-s04-q08 A 13 km map-route-reasoning-s04-q09 D Back at the start map-route-reasoning-s04-q10 B 2 km south map-route-reasoning-s05-q01 D The bakery map-route-reasoning-s05-q02 C East of it map-route-reasoning-s05-q03 C The pool map-route-reasoning-s05-q04 C The stadium map-route-reasoning-s05-q05 A One block west, then one block south map-route-reasoning-s05-q06 A 2 km map-route-reasoning-s05-q07 D 8 km map-route-reasoning-s05-q08 B The windmill map-route-reasoning-s05-q09 A Your left map-route-reasoning-s05-q10 B 3 map-route-reasoning-s06-q01 B 09:45 map-route-reasoning-s06-q02 C 10 minutes map-route-reasoning-s06-q03 B Bus B map-route-reasoning-s06-q04 C 11:15 map-route-reasoning-s06-q05 D 16:15 map-route-reasoning-s06-q06 B 46 minutes map-route-reasoning-s06-q07 C 20 minutes map-route-reasoning-s06-q08 A 08:15 map-route-reasoning-s06-q09 A 6 hours 30 minutes map-route-reasoning-s06-q10 D 08:40 map-route-reasoning-s07-q01 B Route 1, because Route 2 is impassable map-route-reasoning-s07-q02 A Route A map-route-reasoning-s07-q03 A Route A, because it takes less time map-route-reasoning-s07-q04 C 15 minutes map-route-reasoning-s07-q05 B 2 map-route-reasoning-s07-q06 D 3 map-route-reasoning-s07-q07 C Route C map-route-reasoning-s07-q08 D 08:20 map-route-reasoning-s07-q09 B Route B map-route-reasoning-s07-q10 C South Road map-route-reasoning-s08-q01 C North-east map-route-reasoning-s08-q02 B East map-route-reasoning-s08-q03 A South-west map-route-reasoning-s08-q04 A South-east map-route-reasoning-s08-q05 C 240° map-route-reasoning-s08-q06 D Back at the start map-route-reasoning-s08-q07 D 225° map-route-reasoning-s08-q08 B South-west map-route-reasoning-s08-q09 B South-east map-route-reasoning-s08-q10 A 045° map-route-reasoning-s09-q01 D 1 hour 15 minutes map-route-reasoning-s09-q02 C 10:25 map-route-reasoning-s09-q03 B 50 km/h map-route-reasoning-s09-q04 A 2.3 km map-route-reasoning-s09-q05 A 40 minutes map-route-reasoning-s09-q06 C 12 km map-route-reasoning-s09-q07 B 1 hour 24 minutes map-route-reasoning-s09-q08 D 17:15 map-route-reasoning-s09-q09 C 40 minutes map-route-reasoning-s09-q10 D About 13 km/h map-route-reasoning-s10-q01 C 10 map-route-reasoning-s10-q02 A 2 map-route-reasoning-s10-q03 C South map-route-reasoning-s10-q04 B N map-route-reasoning-s10-q05 B The 10:40 map-route-reasoning-s10-q06 D 135° map-route-reasoning-s10-q07 C The tunnel map-route-reasoning-s10-q08 B 5 map-route-reasoning-s10-q09 A 8 km map-route-reasoning-s10-q10 D The bank Worked explanations =================== map-route-reasoning-s01-q01 Clockwise follows the compass in the order north → east → south → west, so one quarter turn from north points you east. map-route-reasoning-s01-q02 A 180° turn always points you in the exact opposite direction, and the opposite of east is west. map-route-reasoning-s01-q03 Anticlockwise runs against the compass order: south → east → north → west. One quarter turn anticlockwise from south is east. map-route-reasoning-s01-q04 The sun rises in the east, so you begin facing east; when you face east, a left turn points you north. map-route-reasoning-s01-q05 Unless a map states otherwise, the convention is north at the top, which also puts east on the right and west on the left. map-route-reasoning-s01-q06 Track each quarter turn: west → north (90°) → east (180°) → south (270°). Alternatively, 270° clockwise equals 90° anticlockwise. map-route-reasoning-s01-q07 Place the three on a north–south line: café, then fountain, then library. The library sits at the northern end. map-route-reasoning-s01-q08 Two 90° turns in the same direction make 180°, which always leaves you facing the opposite way, south instead of north. map-route-reasoning-s01-q09 Right and left depend on which way you face: when travelling south, your right-hand side points west. map-route-reasoning-s01-q10 Directions reverse when you swap viewpoints: if the village is west of the bridge, the bridge must be east of the village. map-route-reasoning-s02-q01 Reversing a route swaps every turn: because you approach each corner from the opposite side, left turns become right turns and vice versa. map-route-reasoning-s02-q02 Two people facing each other have mirrored sides: whatever is on your right is on the other person's left. map-route-reasoning-s02-q03 Update your heading one turn at a time: north → east (right) → south (right) → east (left). Tracking step by step avoids losing count. map-route-reasoning-s02-q04 Follow each turn: east → north (left) → west (left) → north (right). A quick check is to net the turns: two lefts and a right equal one left overall. map-route-reasoning-s02-q05 When a map is turned to match your facing direction, the map's left edge lines up with your own left side, and facing south, your left hand points east. map-route-reasoning-s02-q06 Turning around to retrace your steps flips your left and right, so anything that was on your right on the way in is on your left on the way out. map-route-reasoning-s02-q07 A right and a left cancel each other, leaving one net right turn: 90° clockwise from west is north. map-route-reasoning-s02-q08 Three quarter turns clockwise total 270°, which is the same as one quarter turn anticlockwise: north → west. map-route-reasoning-s02-q09 The northbound walker's right is the east side of the street. Facing south, east falls on your left, so the southbound walker sees the shop on their left. map-route-reasoning-s02-q10 Work each person separately: your right turn takes north to east, while your friend's right turn takes south to west. East and west are opposites, so you still face away from each other. map-route-reasoning-s03-q01 Compare the coordinates: only x changes, rising from 2 to 5. An increasing x-value on this grid means movement east. map-route-reasoning-s03-q02 The x-values match, so the points sit on the same north–south line; subtract the y-values: 6 − 1 = 5 units. map-route-reasoning-s03-q03 Moving north keeps the column letter the same and increases the row number by one, taking C2 to C3. map-route-reasoning-s03-q04 With no diagonal moves, add the east–west and north–south differences separately: (4 − 1) + (5 − 1) = 3 + 4 = 7 blocks. map-route-reasoning-s03-q05 Furthest west means the smallest x-value; ignore the y-values entirely. The x-values are −3, 1, 4, and 0, and −3 is the smallest. map-route-reasoning-s03-q06 Average each coordinate: (2 + 8) ÷ 2 = 5 for x, and y stays at 4, giving a midpoint of (5, 4). map-route-reasoning-s03-q07 Judge each axis separately: D is east of B, and row 4 is north of row 2. East plus north combines into north-east. map-route-reasoning-s03-q08 Net each axis: east 6 then west 2 leaves x = 4, and the single northward leg leaves y = 2, so the drone ends at (4, 2). map-route-reasoning-s03-q09 The points are 4 grid squares apart along the same line; multiply by the scale: 4 × 500 m = 2,000 m, which is 2 km. map-route-reasoning-s03-q10 Corner-only (diagonal) neighbours differ by one step in both the column and the row. B2 shifts one column west and one row south of C3, while the others share a full edge. map-route-reasoning-s04-q01 Equal legs in opposite directions cancel out completely: you walked 10 km in total but finished exactly where you began. map-route-reasoning-s04-q02 Opposite directions subtract rather than add: 6 km north minus 2 km south leaves a net 4 km north of the start. map-route-reasoning-s04-q03 The two legs form the sides of a right angle, so use Pythagoras: √(3² + 4²) = √25 = 5 km, the classic 3-4-5 triangle. map-route-reasoning-s04-q04 Handle each axis separately: the 2 km west and 2 km east cancel, leaving only the 5 km northward leg. map-route-reasoning-s04-q05 Distance travelled and final displacement are different things: a full lap covers 400 m of ground but ends zero metres from the start. map-route-reasoning-s04-q06 Total the eastward and westward movement separately: 8 km east against 3 + 2 = 5 km west leaves a net 3 km east. map-route-reasoning-s04-q07 Equal southward and westward legs place you diagonally from the start, exactly halfway between south and west: south-west. map-route-reasoning-s04-q08 The legs meet at a right angle, so apply Pythagoras: √(5² + 12²) = √169 = 13 km, the 5-12-13 triangle. map-route-reasoning-s04-q09 Add the legs with direction in mind: 7 km north against 4 + 3 = 7 km south nets to zero, so the walker is back where they began. map-route-reasoning-s04-q10 Net each axis: east 2 and west 2 cancel, while north 1 against south 3 leaves 2 km south. Splitting a route into axes makes multi-leg journeys manageable. map-route-reasoning-s05-q01 Both buildings lie in the same direction from the station, so compare the counts directly: one street away is closer than two. map-route-reasoning-s05-q02 Chain the relationships: two eastward steps in a row keep everything on the same line, so the market must lie east of the fountain. map-route-reasoning-s05-q03 Fix the known end first: park at the west, school in the middle, which forces the pool to the eastern end. map-route-reasoning-s05-q04 Both clues share the stadium, which pins the order down as cinema, then stadium, then hospital, putting the stadium second. map-route-reasoning-s05-q05 To reverse a route, undo the legs in reverse order with opposite directions: the final eastward block becomes westward first, then the northward block becomes southward. map-route-reasoning-s05-q06 Both villages lie the same way from the signpost, so subtract the distances: 5 − 3 = 2 km separates them. map-route-reasoning-s05-q07 When destinations lie in opposite directions from the same point, add the distances: 3 + 5 = 8 km, passing the signpost on the way. map-route-reasoning-s05-q08 Reversing a route reverses the order of landmarks, but the middle item of three stays in the middle either way. map-route-reasoning-s05-q09 Facing the café means facing north, and when you face north, west lies on your left-hand side. map-route-reasoning-s05-q10 Chain the two clues into one route: two blocks east plus one block north makes three blocks of walking in total. map-route-reasoning-s06-q01 Add the journey time to the departure: 09:20 plus 25 minutes is 09:45, with no hour boundary to cross. map-route-reasoning-s06-q02 List the departures from the first one: 07:00, 07:15, 07:30. The first train after 07:20 leaves at 07:30, a 10-minute wait. map-route-reasoning-s06-q03 Compare durations, not arrival times: Bus A takes 45 minutes while Bus B takes 35 minutes, so the later departure is actually the quicker ride. map-route-reasoning-s06-q04 Cross the hour in two steps: 15 minutes takes you to 11:00, and the remaining 15 minutes lands on 11:15. map-route-reasoning-s06-q05 Work backwards from the deadline: 17:00 minus 45 minutes is 16:15, the last moment a full-length visit still fits. map-route-reasoning-s06-q06 Bridge the hour: 14:32 to 15:00 is 28 minutes, then 15:00 to 15:18 adds 18 more, giving 46 minutes in total. map-route-reasoning-s06-q07 The buses run at :00 and :30 past each hour, so after a 12:10 arrival the next one leaves at 12:30. A 20-minute wait. map-route-reasoning-s06-q08 Work backwards from the deadline: to arrive by 09:00 you must leave by 08:20, and the latest departure at or before that is 08:15, arriving 08:55. map-route-reasoning-s06-q09 Split the journey at midnight: 23:40 to 00:00 is 20 minutes, and 00:00 to 06:10 is 6 hours 10 minutes, totalling 6 hours 30 minutes. map-route-reasoning-s06-q10 Step through the timetable: 06:00, 06:40, 07:20, 08:00, 08:40. The first departure strictly after 08:30 is 08:40. map-route-reasoning-s07-q01 A shorter distance is irrelevant if the route cannot be completed: the closed bridge removes Route 2 from consideration entirely. map-route-reasoning-s07-q02 Recalculate before comparing: the detour makes Route C 11 + 5 = 16 km, so Route A's 12 km is now the shortest of the three. map-route-reasoning-s07-q03 Convert each route to time using time = distance ÷ speed: Route A takes 20 minutes while Route B takes 30, so the longer road is the faster journey. map-route-reasoning-s07-q04 Subtract the two journey times: 45 − 30 = 15 minutes saved, which is the trade-off you weigh against the £2 cost. map-route-reasoning-s07-q05 Compare the permitted route with the direct one: 5 − 3 = 2 additional blocks caused by the one-way restriction. map-route-reasoning-s07-q06 Three sites give six orders in total, and the before-constraint holds in exactly half of them: P-Q-R, Q-P-R, and Q-R-P. map-route-reasoning-s07-q07 Check each distance against the 150 km range: only Route C, at 160 km with nowhere to refuel, exceeds what the tank can cover. map-route-reasoning-s07-q08 Total the legs first, 10 + 25 + 5 = 40 minutes, then subtract from the deadline: 09:00 minus 40 minutes is 08:20. map-route-reasoning-s07-q09 Test each constraint against the vehicle: the lorry is too tall for Route A and too heavy for Route C, so the longer Route B is the only lawful option. map-route-reasoning-s07-q10 Apply each closure rule to the day in question: Monday rules out North Road, the resurfacing rules out East Lane, but South Road only closes at weekends, so it is open. map-route-reasoning-s08-q01 The intercardinal directions combine the names of their neighbours: halfway between north and east is north-east. map-route-reasoning-s08-q02 Rotate 90° clockwise from north and you face east; each cardinal direction sits 90° further round (south 180°, west 270°). map-route-reasoning-s08-q03 South is 180° and west is 270°; a bearing of 225° falls exactly halfway between them, which is south-west. map-route-reasoning-s08-q04 Quarter turns work on diagonal headings too: 90° clockwise from north-east (045°) is 135°, which is south-east. map-route-reasoning-s08-q05 A return bearing is the outward bearing plus or minus 180°: 060° + 180° = 240° points exactly the opposite way. map-route-reasoning-s08-q06 North-east and south-west are exact opposites, so equal distances along them cancel completely, just as north and south would. map-route-reasoning-s08-q07 Reversing a bearing adds 180° (subtract instead if that would pass 360°): 045° + 180° = 225°. map-route-reasoning-s08-q08 Translate the bearings first: 180° is south and 270° is west. Equal legs south then west leave the ship south-west of where it began. map-route-reasoning-s08-q09 East is 090° and south is 180°, so 135° sits exactly halfway between them: south-east. map-route-reasoning-s08-q10 The legs are 4 km east then 4 km north, so the finish lies equally east and north of the start: a diagonal of north-east, which is bearing 045°. map-route-reasoning-s09-q01 Include the wait as part of the journey: 40 + 10 + 25 = 75 minutes, which is 1 hour 15 minutes door to door. map-route-reasoning-s09-q02 Add the hour first, then the minutes: 09:10 plus 1 hour is 10:10, plus 15 minutes gives 10:25. map-route-reasoning-s09-q03 Average speed is total distance over total time: 100 km in 2 hours gives 50 km/h. Because both legs took equal time, the simple average happens to agree. map-route-reasoning-s09-q04 Convert to the same unit before adding: 800 m is 0.8 km, and 1.5 + 0.8 = 2.3 km. map-route-reasoning-s09-q05 You miss the 11:00 sailing by five minutes, so the next departure is 45 minutes later at 11:45. A 40-minute wait from 11:05. map-route-reasoning-s09-q06 Because all three stops lie on the way to the furthest one, travel out to the pool and back, calling at the others en route: 6 km out plus 6 km back is 12 km. map-route-reasoning-s09-q07 Total each type separately, then combine: 3 × 20 = 60 minutes travelling and 2 × 12 = 24 minutes waiting makes 84 minutes, or 1 hour 24 minutes. map-route-reasoning-s09-q08 Add the legs, 35 + 10 = 45 minutes, then count back from the deadline: 18:00 minus 45 minutes is 17:15. map-route-reasoning-s09-q09 Build the full time for each option before comparing: the coach totals 80 + 10 = 90 minutes against the train's 50, a difference of 40 minutes. map-route-reasoning-s09-q10 Average speed uses the full elapsed time, rest included: 20 km in 90 minutes (1.5 hours) gives 20 ÷ 1.5 ≈ 13.3 km/h. map-route-reasoning-s10-q01 Every shortest route is an arrangement of the letters E, E, E, N, N; count the arrangements: 5! ÷ (3! × 2!) = 10. map-route-reasoning-s10-q02 Count the routes through the closed point and subtract: 2 ways from (0, 0) to (1, 1) times 2 ways onward makes 4 blocked routes, leaving 6 − 4 = 2. map-route-reasoning-s10-q03 Trace it step by step: south → east (left 90°) → west (right 180°) → south (left 90°). The left and right turns net to zero, returning you to your original heading. map-route-reasoning-s10-q04 Build the line clue by clue: M, then Q (between M and N), then N, then P, then R. Reading west to east gives M-Q-N-P-R, with N third of five. map-route-reasoning-s10-q05 Add the journey time to each departure: the 10:40 arrives at 11:35, within the deadline, but the 11:20 arrives at 12:15, which is too late. map-route-reasoning-s10-q06 The legs run 10 km east then 10 km south, placing the ship equally east and south of the start: that diagonal is south-east, bearing 135°. map-route-reasoning-s10-q07 Test each option against the time: the bridge shut at 20:00, the next ferry is not until 21:30, but the tunnel never closes, so it is the only immediate crossing. map-route-reasoning-s10-q08 The detour replaces one closed block with three (north, east, south), so the journey becomes 2 direct blocks plus the 3-block detour: 5 in total. map-route-reasoning-s10-q09 Together they close the 18 km gap at 4 + 5 = 9 km/h, so they meet after 2 hours; in that time Ali has walked 4 × 2 = 8 km from the west end. map-route-reasoning-s10-q10 Going straight to the bank means arriving at 14:10 and finishing by 14:20, before it closes. Visiting anywhere else first delays the bank arrival to 14:30 at the earliest, after closing, so the bank has to come first. Source: https://learn.novusstreamsolutions.com/cognitive-skills/map-route-reasoning