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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 315 · 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 2:14. What time will it show 113 minutes later? (a) 5:07 (b) 4:07 (c) 3:57 (d) 4:17
  2. 2.How many degrees does the minute hand of a clock turn in 44 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 139 minutes? =
  4. 4.A clock shows 7:53. What time will it show 169 minutes later? (a) 10:32 (b) 10:52 (c) 11:42 (d) 10:42
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
  7. 7.A clock shows 12:32. What time will it show 97 minutes later? (a) 2:19 (b) 1:59 (c) 2:09 (d) 3:09
  8. 8.How many degrees does the minute hand of a clock turn in 10 minutes? =
  9. 9.A clock shows 1:28. What time will it show 57 minutes later? (a) 2:35 (b) 2:15 (c) 3:25 (d) 2:25
  10. 10.A clock shows 8:43. What time will it show 61 minutes later? (a) 9:54 (b) 9:44 (c) 9:34 (d) 10:44
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  12. 12.A clock shows 4:02. What time will it show 56 minutes later? (a) 4:58 (b) 4:48 (c) 5:58 (d) 5:08
  13. 13.A clock shows 1:22. What time will it show 22 minutes later? (a) 2:44 (b) 1:44 (c) 1:54 (d) 1:34
  14. 14.A clock shows 2:49. What time will it show 17 minutes later? (a) 3:06 (b) 2:56 (c) 3:16 (d) 4:06
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  17. 17.A clock shows 12:35. What time will it show 80 minutes later? (a) 1:45 (b) 2:55 (c) 2:05 (d) 1:55
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 38 minutes? =
  20. 20.A clock shows 3:57. What time will it show 151 minutes later? (a) 7:28 (b) 6:18 (c) 6:38 (d) 6:28
  21. 21.A clock shows 1:39. What time will it show 104 minutes later? (a) 3:13 (b) 3:33 (c) 4:23 (d) 3:23
  22. 22.How many degrees does the minute hand of a clock turn in 45 minutes? =
  23. 23.A clock shows 4:47. What time will it show 161 minutes later? (a) 7:18 (b) 8:28 (c) 7:38 (d) 7:28
  24. 24.A clock shows 1:06. What time will it show 148 minutes later? (a) 3:34 (b) 3:24 (c) 4:34 (d) 3:44
  25. 25.How many degrees does the hour hand of a clock turn in 123 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 23 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 12 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 52 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  33. 33.A clock shows 6:25. What time will it show 29 minutes later? (a) 6:44 (b) 6:54 (c) 7:54 (d) 7:04
  34. 34.A clock shows 7:14. What time will it show 25 minutes later? (a) 8:39 (b) 7:49 (c) 7:29 (d) 7:39
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 116 minutes? =
  37. 37.A clock shows 5:44. What time will it show 107 minutes later? (a) 7:21 (b) 7:41 (c) 8:31 (d) 7:31
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 30 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 118 minutes? =

Answer key

  1. 4:07
  2. 264
  3. 69.5
  4. 10:42
  5. 11
  6. 115.5
  7. 2:09
  8. 60
  9. 2:25
  10. 9:44
  11. 35.5
  12. 4:58
  13. 1:44
  14. 3:06
  15. 167.5
  16. 163
  17. 1:55
  18. 59
  19. 228
  20. 6:28
  21. 3:23
  22. 270
  23. 7:28
  24. 3:34
  25. 61.5
  26. 151.5
  27. 11.5
  28. 142.5
  29. 72
  30. 26
  31. 118.5
  32. 38
  33. 6:54
  34. 7:39
  35. 121
  36. 58
  37. 7:31
  38. 82
  39. 180
  40. 59

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