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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 687 · 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.A clock shows 1:14. What time will it show 36 minutes later? (a) 1:50 (b) 1:40 (c) 2:00 (d) 2:50
  2. 2.A clock shows 11:19. What time will it show 84 minutes later? (a) 12:43 (b) 12:33 (c) 1:43 (d) 12:53
  3. 3.A clock shows 5:37. What time will it show 25 minutes later? (a) 6:02 (b) 5:52 (c) 6:12 (d) 7:02
  4. 4.How many degrees does the minute hand of a clock turn in 39 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  7. 7.A clock shows 3:45. What time will it show 23 minutes later? (a) 5:08 (b) 3:58 (c) 4:18 (d) 4:08
  8. 8.How many degrees does the hour hand of a clock turn in 19 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 59 minutes? =
  11. 11.A clock shows 10:06. What time will it show 126 minutes later? (a) 12:12 (b) 12:22 (c) 1:12 (d) 12:02
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  13. 13.A clock shows 6:55. What time will it show 144 minutes later? (a) 9:19 (b) 10:19 (c) 9:09 (d) 9:29
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  16. 16.A clock shows 9:34. What time will it show 59 minutes later? (a) 10:43 (b) 10:23 (c) 10:33 (d) 11:33
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  19. 19.A clock shows 3:51. What time will it show 23 minutes later? (a) 4:24 (b) 4:14 (c) 4:04 (d) 5:14
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  22. 22.A clock shows 8:21. What time will it show 44 minutes later? (a) 9:15 (b) 10:05 (c) 9:05 (d) 8:55
  23. 23.How many degrees does the minute hand of a clock turn in 48 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  26. 26.A clock shows 2:44. What time will it show 78 minutes later? (a) 3:52 (b) 5:02 (c) 4:12 (d) 4:02
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 78 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 37 minutes? =
  32. 32.A clock shows 3:19. What time will it show 22 minutes later? (a) 3:41 (b) 3:51 (c) 3:31 (d) 4:41
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  34. 34.A clock shows 3:59. What time will it show 135 minutes later? (a) 7:14 (b) 6:14 (c) 6:04 (d) 6:24
  35. 35.How many degrees does the minute hand of a clock turn in 32 minutes? =
  36. 36.A clock shows 8:24. What time will it show 134 minutes later? (a) 10:38 (b) 10:48 (c) 11:38 (d) 10:28
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  38. 38.A clock shows 4:53. What time will it show 105 minutes later? (a) 6:48 (b) 6:28 (c) 7:38 (d) 6:38
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  40. 40.A clock shows 4:50. What time will it show 151 minutes later? (a) 7:21 (b) 7:11 (c) 7:31 (d) 8:21

Answer key

  1. 1:50
  2. 12:43
  3. 6:02
  4. 234
  5. 59
  6. 72
  7. 4:08
  8. 9.5
  9. 125.5
  10. 354
  11. 12:12
  12. 24
  13. 9:19
  14. 142.5
  15. 11.5
  16. 10:33
  17. 39.5
  18. 84
  19. 4:14
  20. 50
  21. 94.5
  22. 9:05
  23. 288
  24. 47
  25. 9.5
  26. 4:02
  27. 79
  28. 39
  29. 139.5
  30. 155
  31. 222
  32. 3:41
  33. 37
  34. 6:14
  35. 192
  36. 10:38
  37. 98
  38. 6:38
  39. 149
  40. 7:21

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