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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 80 · 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 7:41? (in degrees) =
  2. 2.A clock shows 11:14. What time will it show 37 minutes later? (a) 11:51 (b) 12:51 (c) 11:41 (d) 12:01
  3. 3.A clock shows 8:26. What time will it show 110 minutes later? (a) 11:16 (b) 10:06 (c) 10:26 (d) 10:16
  4. 4.A clock shows 10:48. What time will it show 10 minutes later? (a) 11:58 (b) 10:48 (c) 10:58 (d) 11:08
  5. 5.A clock shows 6:45. What time will it show 103 minutes later? (a) 8:38 (b) 8:18 (c) 9:28 (d) 8:28
  6. 6.A clock shows 3:31. What time will it show 158 minutes later? (a) 5:59 (b) 6:19 (c) 7:09 (d) 6:09
  7. 7.A clock shows 9:22. What time will it show 82 minutes later? (a) 11:44 (b) 10:34 (c) 10:44 (d) 10:54
  8. 8.A clock shows 6:56. What time will it show 10 minutes later? (a) 7:16 (b) 6:56 (c) 8:06 (d) 7:06
  9. 9.How many degrees does the hour hand of a clock turn in 78 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 13 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 8 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  13. 13.A clock shows 4:16. What time will it show 82 minutes later? (a) 5:48 (b) 5:28 (c) 5:38 (d) 6:38
  14. 14.How many degrees does the hour hand of a clock turn in 29 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 21 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 48 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 22 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 6 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 46 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 42 minutes? =
  21. 21.A clock shows 12:52. What time will it show 109 minutes later? (a) 2:41 (b) 3:41 (c) 2:31 (d) 2:51
  22. 22.How many degrees does the minute hand of a clock turn in 51 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 107 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 12 minutes? =
  25. 25.A clock shows 11:41. What time will it show 165 minutes later? (a) 2:26 (b) 2:16 (c) 2:36 (d) 3:26
  26. 26.How many degrees does the minute hand of a clock turn in 10 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 58 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 17 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  31. 31.A clock shows 6:44. What time will it show 88 minutes later? (a) 8:22 (b) 9:12 (c) 8:12 (d) 8:02
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 26 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 11 minutes? =
  35. 35.A clock shows 10:03. What time will it show 136 minutes later? (a) 12:29 (b) 12:09 (c) 1:19 (d) 12:19
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 5 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  40. 40.A clock shows 5:02. What time will it show 38 minutes later? (a) 6:40 (b) 5:30 (c) 5:40 (d) 5:50

Answer key

  1. 15.5
  2. 11:51
  3. 10:16
  4. 10:58
  5. 8:28
  6. 6:09
  7. 10:44
  8. 7:06
  9. 39
  10. 78
  11. 48
  12. 32.5
  13. 5:38
  14. 14.5
  15. 126
  16. 288
  17. 11
  18. 36
  19. 276
  20. 252
  21. 2:41
  22. 306
  23. 53.5
  24. 72
  25. 2:26
  26. 60
  27. 29
  28. 66
  29. 8.5
  30. 62.5
  31. 8:12
  32. 7
  33. 156
  34. 5.5
  35. 12:19
  36. 98
  37. 120
  38. 30
  39. 166
  40. 5:40

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