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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 542 · 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 27 minutes? =
  2. 2.A clock shows 1:45. What time will it show 42 minutes later? (a) 2:37 (b) 3:27 (c) 2:27 (d) 2:17
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  5. 5.A clock shows 6:09. What time will it show 37 minutes later? (a) 6:36 (b) 7:46 (c) 6:46 (d) 6:56
  6. 6.A clock shows 11:51. What time will it show 78 minutes later? (a) 1:09 (b) 2:09 (c) 12:59 (d) 1:19
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 166 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 74 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 37 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 10 minutes? =
  14. 14.A clock shows 2:39. What time will it show 78 minutes later? (a) 4:07 (b) 4:57 (c) 3:47 (d) 3:57
  15. 15.How many degrees does the hour hand of a clock turn in 34 minutes? =
  16. 16.A clock shows 12:17. What time will it show 46 minutes later? (a) 12:53 (b) 2:03 (c) 1:13 (d) 1:03
  17. 17.A clock shows 1:15. What time will it show 60 minutes later? (a) 3:15 (b) 2:05 (c) 2:15 (d) 2:25
  18. 18.A clock shows 5:13. What time will it show 155 minutes later? (a) 7:58 (b) 8:48 (c) 7:38 (d) 7:48
  19. 19.A clock shows 12:22. What time will it show 101 minutes later? (a) 2:13 (b) 3:03 (c) 1:53 (d) 2:03
  20. 20.A clock shows 8:49. What time will it show 146 minutes later? (a) 12:15 (b) 11:25 (c) 11:05 (d) 11:15
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 179 minutes? =
  24. 24.A clock shows 6:15. What time will it show 46 minutes later? (a) 7:11 (b) 8:01 (c) 6:51 (d) 7:01
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  29. 29.A clock shows 11:26. What time will it show 31 minutes later? (a) 12:07 (b) 11:47 (c) 11:57 (d) 12:57
  30. 30.A clock shows 12:42. What time will it show 43 minutes later? (a) 2:25 (b) 1:35 (c) 1:15 (d) 1:25
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  33. 33.A clock shows 5:36. What time will it show 22 minutes later? (a) 5:58 (b) 5:48 (c) 6:58 (d) 6:08
  34. 34.A clock shows 12:56. What time will it show 38 minutes later? (a) 1:24 (b) 1:44 (c) 2:34 (d) 1:34
  35. 35.How many degrees does the minute hand of a clock turn in 58 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  39. 39.A clock shows 11:39. What time will it show 69 minutes later? (a) 12:58 (b) 12:48 (c) 1:48 (d) 12:38
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =

Answer key

  1. 162
  2. 2:27
  3. 145
  4. 4
  5. 6:46
  6. 1:09
  7. 16
  8. 83
  9. 17
  10. 37
  11. 222
  12. 13
  13. 5
  14. 3:57
  15. 17
  16. 1:03
  17. 2:15
  18. 7:48
  19. 2:03
  20. 11:15
  21. 97.5
  22. 160.5
  23. 89.5
  24. 7:01
  25. 29.5
  26. 14.5
  27. 72.5
  28. 126
  29. 11:57
  30. 1:25
  31. 13.5
  32. 73
  33. 5:58
  34. 1:34
  35. 348
  36. 139.5
  37. 66
  38. 174
  39. 12:48
  40. 149

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