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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 438 · 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 8:10. What time will it show 53 minutes later? (a) 9:03 (b) 10:03 (c) 9:13 (d) 8:53
  2. 2.How many degrees does the hour hand of a clock turn in 94 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 88 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  8. 8.A clock shows 1:14. What time will it show 86 minutes later? (a) 2:40 (b) 2:50 (c) 3:40 (d) 2:30
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 172 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 110 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 21 minutes? =
  13. 13.A clock shows 7:08. What time will it show 110 minutes later? (a) 8:58 (b) 8:48 (c) 9:08 (d) 9:58
  14. 14.How many degrees does the hour hand of a clock turn in 40 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  17. 17.A clock shows 6:13. What time will it show 113 minutes later? (a) 8:06 (b) 7:56 (c) 8:16 (d) 9:06
  18. 18.A clock shows 12:43. What time will it show 74 minutes later? (a) 1:57 (b) 1:47 (c) 2:07 (d) 2:57
  19. 19.A clock shows 2:50. What time will it show 14 minutes later? (a) 3:04 (b) 3:14 (c) 4:04 (d) 2:54
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 33 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 43 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  26. 26.A clock shows 2:12. What time will it show 146 minutes later? (a) 5:38 (b) 4:38 (c) 4:28 (d) 4:48
  27. 27.A clock shows 10:12. What time will it show 90 minutes later? (a) 11:32 (b) 12:42 (c) 11:52 (d) 11:42
  28. 28.A clock shows 10:59. What time will it show 100 minutes later? (a) 12:49 (b) 1:39 (c) 12:39 (d) 12:29
  29. 29.How many degrees does the hour hand of a clock turn in 79 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 113 minutes? =
  31. 31.A clock shows 1:55. What time will it show 110 minutes later? (a) 3:35 (b) 4:45 (c) 3:45 (d) 3:55
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 52 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  35. 35.A clock shows 1:28. What time will it show 167 minutes later? (a) 4:25 (b) 5:15 (c) 4:15 (d) 4:05
  36. 36.A clock shows 11:53. What time will it show 141 minutes later? (a) 2:14 (b) 2:24 (c) 3:14 (d) 2:04
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 59 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  40. 40.A clock shows 7:03. What time will it show 52 minutes later? (a) 8:05 (b) 7:45 (c) 7:55 (d) 8:55

Answer key

  1. 9:03
  2. 47
  3. 44
  4. 63.5
  5. 162.5
  6. 47
  7. 9
  8. 2:40
  9. 5
  10. 86
  11. 55
  12. 126
  13. 8:58
  14. 20
  15. 62.5
  16. 141.5
  17. 8:06
  18. 1:57
  19. 3:04
  20. 20.5
  21. 198
  22. 258
  23. 28
  24. 71
  25. 129
  26. 4:38
  27. 11:42
  28. 12:39
  29. 39.5
  30. 56.5
  31. 3:45
  32. 82.5
  33. 26
  34. 120.5
  35. 4:15
  36. 2:14
  37. 93
  38. 354
  39. 178
  40. 7:55

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