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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 358 · 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.How many degrees does the minute hand of a clock turn in 50 minutes? =
  2. 2.A clock shows 12:11. What time will it show 170 minutes later? (a) 4:01 (b) 3:11 (c) 2:51 (d) 3:01
  3. 3.How many degrees does the hour hand of a clock turn in 15 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 59 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  7. 7.A clock shows 1:42. What time will it show 21 minutes later? (a) 2:03 (b) 1:53 (c) 2:13 (d) 3:03
  8. 8.How many degrees does the minute hand of a clock turn in 37 minutes? =
  9. 9.A clock shows 6:21. What time will it show 143 minutes later? (a) 8:44 (b) 9:44 (c) 8:54 (d) 8:34
  10. 10.A clock shows 8:47. What time will it show 80 minutes later? (a) 10:17 (b) 11:07 (c) 9:57 (d) 10:07
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  12. 12.A clock shows 12:59. What time will it show 45 minutes later? (a) 2:44 (b) 1:34 (c) 1:44 (d) 1:54
  13. 13.A clock shows 8:46. What time will it show 28 minutes later? (a) 10:14 (b) 9:14 (c) 9:04 (d) 9:24
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  16. 16.A clock shows 8:52. What time will it show 80 minutes later? (a) 10:22 (b) 10:02 (c) 10:12 (d) 11:12
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  18. 18.A clock shows 3:25. What time will it show 97 minutes later? (a) 5:02 (b) 6:02 (c) 5:12 (d) 4:52
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 137 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 18 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 14 minutes? =
  23. 23.A clock shows 10:49. What time will it show 40 minutes later? (a) 11:29 (b) 11:39 (c) 12:29 (d) 11:19
  24. 24.A clock shows 3:57. What time will it show 157 minutes later? (a) 6:24 (b) 6:34 (c) 6:44 (d) 7:34
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
  26. 26.A clock shows 2:19. What time will it show 114 minutes later? (a) 4:13 (b) 4:23 (c) 5:13 (d) 4:03
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 34 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 23 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  32. 32.A clock shows 8:16. What time will it show 112 minutes later? (a) 10:18 (b) 11:08 (c) 10:08 (d) 9:58
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  34. 34.A clock shows 11:36. What time will it show 53 minutes later? (a) 12:39 (b) 12:19 (c) 1:29 (d) 12:29
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 63 minutes? =
  39. 39.A clock shows 4:21. What time will it show 35 minutes later? (a) 5:56 (b) 4:56 (c) 5:06 (d) 4:46
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =

Answer key

  1. 300
  2. 3:01
  3. 7.5
  4. 132.5
  5. 354
  6. 97
  7. 2:03
  8. 222
  9. 8:44
  10. 10:07
  11. 103
  12. 1:44
  13. 9:14
  14. 117.5
  15. 41.5
  16. 10:12
  17. 114
  18. 5:02
  19. 70.5
  20. 68.5
  21. 9
  22. 84
  23. 11:29
  24. 6:34
  25. 79
  26. 4:13
  27. 81
  28. 204
  29. 138
  30. 126.5
  31. 162
  32. 10:08
  33. 28.5
  34. 12:29
  35. 157.5
  36. 62
  37. 29
  38. 31.5
  39. 4:56
  40. 168

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