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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 551 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  2. 2.A clock shows 2:03. What time will it show 75 minutes later? (a) 3:18 (b) 3:08 (c) 3:28 (d) 4:18
  3. 3.How many degrees does the minute hand of a clock turn in 55 minutes? =
  4. 4.A clock shows 7:26. What time will it show 115 minutes later? (a) 9:31 (b) 9:11 (c) 9:21 (d) 10:21
  5. 5.How many degrees does the hour hand of a clock turn in 168 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 79 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 13 minutes? =
  8. 8.A clock shows 11:42. What time will it show 146 minutes later? (a) 2:08 (b) 3:08 (c) 1:58 (d) 2:18
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 23 minutes? =
  12. 12.A clock shows 4:47. What time will it show 81 minutes later? (a) 6:08 (b) 5:58 (c) 6:18 (d) 7:08
  13. 13.A clock shows 10:29. What time will it show 104 minutes later? (a) 12:03 (b) 1:13 (c) 12:23 (d) 12:13
  14. 14.How many degrees does the hour hand of a clock turn in 167 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 51 minutes? =
  16. 16.A clock shows 10:50. What time will it show 102 minutes later? (a) 1:32 (b) 12:32 (c) 12:22 (d) 12:42
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  18. 18.A clock shows 5:36. What time will it show 155 minutes later? (a) 8:21 (b) 9:11 (c) 8:11 (d) 8:01
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 40 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 50 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 12 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  26. 26.A clock shows 10:52. What time will it show 113 minutes later? (a) 12:35 (b) 1:45 (c) 12:55 (d) 12:45
  27. 27.How many degrees does the hour hand of a clock turn in 131 minutes? =
  28. 28.A clock shows 11:37. What time will it show 167 minutes later? (a) 2:14 (b) 2:34 (c) 3:24 (d) 2:24
  29. 29.A clock shows 7:45. What time will it show 24 minutes later? (a) 7:59 (b) 8:19 (c) 8:09 (d) 9:09
  30. 30.A clock shows 10:11. What time will it show 127 minutes later? (a) 12:08 (b) 12:18 (c) 12:28 (d) 1:18
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  32. 32.A clock shows 11:11. What time will it show 63 minutes later? (a) 1:14 (b) 12:04 (c) 12:14 (d) 12:24
  33. 33.How many degrees does the minute hand of a clock turn in 38 minutes? =
  34. 34.A clock shows 2:16. What time will it show 13 minutes later? (a) 2:19 (b) 2:29 (c) 3:29 (d) 2:39
  35. 35.A clock shows 12:01. What time will it show 112 minutes later? (a) 2:53 (b) 1:43 (c) 2:03 (d) 1:53
  36. 36.A clock shows 5:47. What time will it show 123 minutes later? (a) 7:40 (b) 8:00 (c) 8:50 (d) 7:50
  37. 37.A clock shows 3:38. What time will it show 66 minutes later? (a) 4:34 (b) 5:44 (c) 4:54 (d) 4:44
  38. 38.How many degrees does the minute hand of a clock turn in 37 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 148 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 10 minutes? =

Answer key

  1. 109
  2. 3:18
  3. 330
  4. 9:21
  5. 84
  6. 39.5
  7. 78
  8. 2:08
  9. 115
  10. 154
  11. 138
  12. 6:08
  13. 12:13
  14. 83.5
  15. 306
  16. 12:32
  17. 83.5
  18. 8:11
  19. 177
  20. 240
  21. 128.5
  22. 25
  23. 48
  24. 6
  25. 35.5
  26. 12:45
  27. 65.5
  28. 2:24
  29. 8:09
  30. 12:18
  31. 100.5
  32. 12:14
  33. 228
  34. 2:29
  35. 1:53
  36. 7:50
  37. 4:44
  38. 222
  39. 74
  40. 60

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