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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 155 · 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 3:08. What time will it show 18 minutes later? (a) 3:16 (b) 4:26 (c) 3:26 (d) 3:36
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  4. 4.A clock shows 7:31. What time will it show 71 minutes later? (a) 8:32 (b) 8:52 (c) 8:42 (d) 9:42
  5. 5.How many degrees does the minute hand of a clock turn in 27 minutes? =
  6. 6.A clock shows 3:45. What time will it show 123 minutes later? (a) 6:48 (b) 5:48 (c) 5:38 (d) 5:58
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 38 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  11. 11.A clock shows 8:39. What time will it show 32 minutes later? (a) 9:21 (b) 9:11 (c) 10:11 (d) 9:01
  12. 12.How many degrees does the minute hand of a clock turn in 35 minutes? =
  13. 13.A clock shows 9:28. What time will it show 59 minutes later? (a) 10:37 (b) 10:17 (c) 11:27 (d) 10:27
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  15. 15.A clock shows 11:33. What time will it show 49 minutes later? (a) 1:22 (b) 12:32 (c) 12:22 (d) 12:12
  16. 16.How many degrees does the hour hand of a clock turn in 39 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 30 minutes? =
  18. 18.A clock shows 3:06. What time will it show 164 minutes later? (a) 5:50 (b) 6:50 (c) 6:00 (d) 5:40
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 12 minutes? =
  21. 21.A clock shows 5:40. What time will it show 26 minutes later? (a) 7:06 (b) 6:16 (c) 5:56 (d) 6:06
  22. 22.How many degrees does the hour hand of a clock turn in 22 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 33 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  26. 26.A clock shows 4:38. What time will it show 66 minutes later? (a) 5:34 (b) 5:44 (c) 6:44 (d) 5:54
  27. 27.A clock shows 4:43. What time will it show 87 minutes later? (a) 6:20 (b) 6:10 (c) 6:00 (d) 7:10
  28. 28.A clock shows 9:43. What time will it show 46 minutes later? (a) 11:29 (b) 10:29 (c) 10:39 (d) 10:19
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  30. 30.A clock shows 10:49. What time will it show 86 minutes later? (a) 12:25 (b) 12:15 (c) 1:15 (d) 12:05
  31. 31.A clock shows 8:46. What time will it show 18 minutes later? (a) 9:14 (b) 8:54 (c) 9:04 (d) 10:04
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  34. 34.A clock shows 12:04. What time will it show 29 minutes later? (a) 12:43 (b) 12:23 (c) 12:33 (d) 1:33
  35. 35.A clock shows 5:12. What time will it show 52 minutes later? (a) 5:54 (b) 6:14 (c) 7:04 (d) 6:04
  36. 36.How many degrees does the hour hand of a clock turn in 136 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 4 minutes? =
  38. 38.A clock shows 12:01. What time will it show 53 minutes later? (a) 1:04 (b) 12:54 (c) 12:44 (d) 1:54
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =

Answer key

  1. 3:26
  2. 157
  3. 139.5
  4. 8:42
  5. 162
  6. 5:48
  7. 68
  8. 161.5
  9. 19
  10. 56
  11. 9:11
  12. 210
  13. 10:27
  14. 15
  15. 12:22
  16. 19.5
  17. 180
  18. 5:50
  19. 12.5
  20. 72
  21. 6:06
  22. 11
  23. 198
  24. 51.5
  25. 15.5
  26. 5:44
  27. 6:10
  28. 10:29
  29. 20.5
  30. 12:15
  31. 9:04
  32. 41
  33. 21.5
  34. 12:33
  35. 6:04
  36. 68
  37. 24
  38. 12:54
  39. 11.5
  40. 146

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