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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 851 · 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.How many degrees does the hour hand of a clock turn in 64 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 139 minutes? =
  3. 3.A clock shows 11:51. What time will it show 64 minutes later? (a) 12:45 (b) 12:55 (c) 1:05 (d) 1:55
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  9. 9.A clock shows 8:49. What time will it show 92 minutes later? (a) 10:11 (b) 10:21 (c) 11:21 (d) 10:31
  10. 10.How many degrees does the minute hand of a clock turn in 15 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 41 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 35 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  17. 17.A clock shows 9:59. What time will it show 36 minutes later? (a) 10:35 (b) 10:45 (c) 11:35 (d) 10:25
  18. 18.A clock shows 2:54. What time will it show 14 minutes later? (a) 3:08 (b) 2:58 (c) 4:08 (d) 3:18
  19. 19.How many degrees does the hour hand of a clock turn in 136 minutes? =
  20. 20.A clock shows 2:58. What time will it show 96 minutes later? (a) 4:24 (b) 4:44 (c) 5:34 (d) 4:34
  21. 21.How many degrees does the hour hand of a clock turn in 36 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  23. 23.A clock shows 8:12. What time will it show 33 minutes later? (a) 8:35 (b) 8:55 (c) 9:45 (d) 8:45
  24. 24.How many degrees does the minute hand of a clock turn in 12 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 8 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 39 minutes? =
  28. 28.A clock shows 10:41. What time will it show 169 minutes later? (a) 1:30 (b) 2:30 (c) 1:40 (d) 1:20
  29. 29.How many degrees does the hour hand of a clock turn in 28 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 55 minutes? =
  31. 31.A clock shows 1:46. What time will it show 140 minutes later? (a) 4:06 (b) 5:06 (c) 4:16 (d) 3:56
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  33. 33.A clock shows 11:48. What time will it show 103 minutes later? (a) 2:31 (b) 1:31 (c) 1:41 (d) 1:21
  34. 34.A clock shows 1:50. What time will it show 136 minutes later? (a) 4:16 (b) 3:56 (c) 5:06 (d) 4:06
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  37. 37.A clock shows 7:40. What time will it show 62 minutes later? (a) 8:52 (b) 8:32 (c) 8:42 (d) 9:42
  38. 38.How many degrees does the hour hand of a clock turn in 68 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 26 minutes? =
  40. 40.A clock shows 6:16. What time will it show 110 minutes later? (a) 8:06 (b) 8:16 (c) 9:06 (d) 7:56

Answer key

  1. 32
  2. 69.5
  3. 12:55
  4. 73.5
  5. 94.5
  6. 100
  7. 104.5
  8. 77.5
  9. 10:21
  10. 90
  11. 71.5
  12. 126
  13. 20.5
  14. 246
  15. 210
  16. 139
  17. 10:35
  18. 3:08
  19. 68
  20. 4:34
  21. 18
  22. 142.5
  23. 8:45
  24. 72
  25. 82.5
  26. 48
  27. 234
  28. 1:30
  29. 14
  30. 330
  31. 4:06
  32. 65
  33. 1:31
  34. 4:06
  35. 115.5
  36. 55.5
  37. 8:42
  38. 34
  39. 156
  40. 8:06

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