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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 986 · 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 3:35. What time will it show 109 minutes later? (a) 6:24 (b) 5:24 (c) 5:34 (d) 5:14
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 21 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  7. 7.A clock shows 2:03. What time will it show 19 minutes later? (a) 2:22 (b) 2:12 (c) 2:32 (d) 3:22
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  9. 9.A clock shows 5:20. What time will it show 17 minutes later? (a) 5:47 (b) 5:37 (c) 6:37 (d) 5:27
  10. 10.A clock shows 5:15. What time will it show 32 minutes later? (a) 6:47 (b) 5:37 (c) 5:57 (d) 5:47
  11. 11.A clock shows 9:45. What time will it show 42 minutes later? (a) 10:17 (b) 10:37 (c) 11:27 (d) 10:27
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  13. 13.A clock shows 3:27. What time will it show 41 minutes later? (a) 4:18 (b) 4:08 (c) 3:58 (d) 5:08
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 16 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  20. 20.A clock shows 10:54. What time will it show 98 minutes later? (a) 12:22 (b) 1:32 (c) 12:42 (d) 12:32
  21. 21.A clock shows 8:28. What time will it show 30 minutes later? (a) 9:08 (b) 8:48 (c) 9:58 (d) 8:58
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  23. 23.A clock shows 8:07. What time will it show 71 minutes later? (a) 9:28 (b) 10:18 (c) 9:08 (d) 9:18
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  25. 25.A clock shows 2:05. What time will it show 149 minutes later? (a) 5:34 (b) 4:24 (c) 4:44 (d) 4:34
  26. 26.How many degrees does the minute hand of a clock turn in 2 minutes? =
  27. 27.A clock shows 4:53. What time will it show 72 minutes later? (a) 7:05 (b) 6:05 (c) 6:15 (d) 5:55
  28. 28.A clock shows 5:46. What time will it show 60 minutes later? (a) 6:56 (b) 6:46 (c) 7:46 (d) 6:36
  29. 29.How many degrees does the minute hand of a clock turn in 26 minutes? =
  30. 30.A clock shows 5:51. What time will it show 48 minutes later? (a) 6:49 (b) 6:39 (c) 6:29 (d) 7:39
  31. 31.How many degrees does the hour hand of a clock turn in 99 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 12 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  34. 34.A clock shows 2:48. What time will it show 87 minutes later? (a) 4:25 (b) 4:05 (c) 5:15 (d) 4:15
  35. 35.A clock shows 2:32. What time will it show 107 minutes later? (a) 4:09 (b) 4:29 (c) 4:19 (d) 5:19
  36. 36.A clock shows 7:21. What time will it show 70 minutes later? (a) 9:31 (b) 8:41 (c) 8:21 (d) 8:31
  37. 37.A clock shows 6:59. What time will it show 114 minutes later? (a) 9:53 (b) 9:03 (c) 8:53 (d) 8:43
  38. 38.How many degrees does the minute hand of a clock turn in 43 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 48 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =

Answer key

  1. 5:24
  2. 27
  3. 27
  4. 24.5
  5. 126
  6. 131
  7. 2:22
  8. 157.5
  9. 5:37
  10. 5:47
  11. 10:27
  12. 152
  13. 4:08
  14. 92.5
  15. 2.5
  16. 96
  17. 166
  18. 164.5
  19. 17.5
  20. 12:32
  21. 8:58
  22. 32
  23. 9:18
  24. 123
  25. 4:34
  26. 12
  27. 6:05
  28. 6:46
  29. 156
  30. 6:39
  31. 49.5
  32. 6
  33. 46.5
  34. 4:15
  35. 4:19
  36. 8:31
  37. 8:53
  38. 258
  39. 24
  40. 114.5

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