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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 5 · 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 8:03. What time will it show 37 minutes later? (a) 9:40 (b) 8:40 (c) 8:50 (d) 8:30
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  3. 3.A clock shows 10:39. What time will it show 20 minutes later? (a) 10:59 (b) 10:49 (c) 11:09 (d) 11:59
  4. 4.How many degrees does the minute hand of a clock turn in 26 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 31 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 155 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 57 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  11. 11.A clock shows 10:12. What time will it show 135 minutes later? (a) 12:27 (b) 12:17 (c) 1:27 (d) 12:37
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  13. 13.A clock shows 10:57. What time will it show 59 minutes later? (a) 11:56 (b) 12:56 (c) 11:46 (d) 12:06
  14. 14.A clock shows 3:32. What time will it show 131 minutes later? (a) 6:43 (b) 5:43 (c) 5:33 (d) 5:53
  15. 15.A clock shows 3:29. What time will it show 137 minutes later? (a) 5:56 (b) 5:46 (c) 5:36 (d) 6:46
  16. 16.How many degrees does the minute hand of a clock turn in 7 minutes? =
  17. 17.A clock shows 5:54. What time will it show 155 minutes later? (a) 8:39 (b) 8:19 (c) 8:29 (d) 9:29
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 180 minutes? =
  25. 25.A clock shows 2:16. What time will it show 12 minutes later? (a) 3:28 (b) 2:18 (c) 2:38 (d) 2:28
  26. 26.A clock shows 2:20. What time will it show 39 minutes later? (a) 2:59 (b) 2:49 (c) 3:59 (d) 3:09
  27. 27.A clock shows 9:25. What time will it show 73 minutes later? (a) 11:38 (b) 10:38 (c) 10:48 (d) 10:28
  28. 28.A clock shows 8:52. What time will it show 116 minutes later? (a) 10:38 (b) 11:48 (c) 10:58 (d) 10:48
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  31. 31.A clock shows 1:44. What time will it show 23 minutes later? (a) 3:07 (b) 1:57 (c) 2:17 (d) 2:07
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 20 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 22 minutes? =
  37. 37.A clock shows 5:58. What time will it show 65 minutes later? (a) 6:53 (b) 8:03 (c) 7:13 (d) 7:03
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 11 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =

Answer key

  1. 8:40
  2. 67
  3. 10:59
  4. 156
  5. 142.5
  6. 15.5
  7. 40
  8. 77.5
  9. 342
  10. 66
  11. 12:27
  12. 104
  13. 11:56
  14. 5:43
  15. 5:46
  16. 42
  17. 8:29
  18. 168.5
  19. 18.5
  20. 156
  21. 179
  22. 35
  23. 139.5
  24. 90
  25. 2:28
  26. 2:59
  27. 10:38
  28. 10:48
  29. 177.5
  30. 99
  31. 2:07
  32. 3.5
  33. 152
  34. 120
  35. 43.5
  36. 11
  37. 7:03
  38. 90
  39. 66
  40. 127

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