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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 656 · 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.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 165 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 59 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 114 minutes? =
  8. 8.A clock shows 12:12. What time will it show 18 minutes later? (a) 12:40 (b) 12:20 (c) 12:30 (d) 1:30
  9. 9.How many degrees does the minute hand of a clock turn in 30 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 84 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 53 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 31 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 148 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 55 minutes? =
  20. 20.A clock shows 1:07. What time will it show 87 minutes later? (a) 2:24 (b) 2:34 (c) 3:34 (d) 2:44
  21. 21.A clock shows 5:17. What time will it show 136 minutes later? (a) 7:43 (b) 7:33 (c) 7:23 (d) 8:33
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  23. 23.A clock shows 6:06. What time will it show 153 minutes later? (a) 8:39 (b) 8:29 (c) 8:49 (d) 9:39
  24. 24.How many degrees does the minute hand of a clock turn in 5 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 27 minutes? =
  26. 26.A clock shows 9:16. What time will it show 92 minutes later? (a) 10:48 (b) 11:48 (c) 10:38 (d) 10:58
  27. 27.A clock shows 7:58. What time will it show 70 minutes later? (a) 10:08 (b) 9:18 (c) 9:08 (d) 8:58
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 116 minutes? =
  32. 32.A clock shows 4:14. What time will it show 44 minutes later? (a) 5:58 (b) 5:08 (c) 4:48 (d) 4:58
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  34. 34.A clock shows 1:54. What time will it show 62 minutes later? (a) 3:06 (b) 2:46 (c) 3:56 (d) 2:56
  35. 35.How many degrees does the minute hand of a clock turn in 8 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 19 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 46 minutes? =
  38. 38.A clock shows 12:06. What time will it show 162 minutes later? (a) 2:58 (b) 3:48 (c) 2:38 (d) 2:48
  39. 39.A clock shows 12:12. What time will it show 24 minutes later? (a) 12:46 (b) 12:36 (c) 12:26 (d) 1:36
  40. 40.A clock shows 11:36. What time will it show 54 minutes later? (a) 12:20 (b) 12:30 (c) 1:30 (d) 12:40

Answer key

  1. 52
  2. 82.5
  3. 354
  4. 171
  5. 20.5
  6. 175.5
  7. 57
  8. 12:30
  9. 180
  10. 43.5
  11. 114.5
  12. 133
  13. 42
  14. 318
  15. 89.5
  16. 186
  17. 72.5
  18. 74
  19. 330
  20. 2:34
  21. 7:33
  22. 163
  23. 8:39
  24. 30
  25. 162
  26. 10:48
  27. 9:08
  28. 106
  29. 124
  30. 150
  31. 58
  32. 4:58
  33. 130.5
  34. 2:56
  35. 48
  36. 114
  37. 276
  38. 2:48
  39. 12:36
  40. 12:30

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