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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 257 · 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 52 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 11 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:22? (in degrees) =
  5. 5.A clock shows 2:06. What time will it show 18 minutes later? (a) 3:24 (b) 2:14 (c) 2:24 (d) 2:34
  6. 6.A clock shows 10:42. What time will it show 82 minutes later? (a) 11:54 (b) 12:14 (c) 12:04 (d) 1:04
  7. 7.A clock shows 1:59. What time will it show 83 minutes later? (a) 3:12 (b) 4:22 (c) 3:32 (d) 3:22
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 8 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  12. 12.A clock shows 6:42. What time will it show 34 minutes later? (a) 7:26 (b) 8:16 (c) 7:06 (d) 7:16
  13. 13.A clock shows 8:08. What time will it show 54 minutes later? (a) 8:52 (b) 9:12 (c) 9:02 (d) 10:02
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 52 minutes? =
  16. 16.A clock shows 4:17. What time will it show 161 minutes later? (a) 6:58 (b) 6:48 (c) 7:58 (d) 7:08
  17. 17.A clock shows 2:03. What time will it show 52 minutes later? (a) 3:05 (b) 2:55 (c) 3:55 (d) 2:45
  18. 18.A clock shows 2:33. What time will it show 19 minutes later? (a) 3:52 (b) 3:02 (c) 2:52 (d) 2:42
  19. 19.A clock shows 12:13. What time will it show 156 minutes later? (a) 2:59 (b) 3:49 (c) 2:39 (d) 2:49
  20. 20.A clock shows 3:27. What time will it show 107 minutes later? (a) 5:24 (b) 5:04 (c) 5:14 (d) 6:14
  21. 21.How many degrees does the minute hand of a clock turn in 34 minutes? =
  22. 22.A clock shows 3:04. What time will it show 147 minutes later? (a) 5:31 (b) 5:41 (c) 5:21 (d) 6:31
  23. 23.A clock shows 8:50. What time will it show 113 minutes later? (a) 10:53 (b) 10:43 (c) 11:43 (d) 10:33
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  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 2:56? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 25 minutes? =
  30. 30.A clock shows 8:45. What time will it show 64 minutes later? (a) 9:59 (b) 10:49 (c) 9:39 (d) 9:49
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 17 minutes? =
  33. 33.A clock shows 8:07. What time will it show 136 minutes later? (a) 10:33 (b) 11:23 (c) 10:23 (d) 10:13
  34. 34.A clock shows 3:50. What time will it show 15 minutes later? (a) 4:15 (b) 3:55 (c) 5:05 (d) 4:05
  35. 35.How many degrees does the hour hand of a clock turn in 40 minutes? =
  36. 36.A clock shows 11:35. What time will it show 82 minutes later? (a) 12:57 (b) 1:57 (c) 1:07 (d) 12:47
  37. 37.A clock shows 3:21. What time will it show 21 minutes later? (a) 3:32 (b) 3:42 (c) 3:52 (d) 4:42
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  39. 39.A clock shows 1:24. What time will it show 87 minutes later? (a) 3:01 (b) 2:41 (c) 3:51 (d) 2:51
  40. 40.How many degrees does the minute hand of a clock turn in 39 minutes? =

Answer key

  1. 26
  2. 5.5
  3. 80.5
  4. 1
  5. 2:24
  6. 12:04
  7. 3:22
  8. 93
  9. 69
  10. 48
  11. 136.5
  12. 7:16
  13. 9:02
  14. 50
  15. 312
  16. 6:58
  17. 2:55
  18. 2:52
  19. 2:49
  20. 5:14
  21. 204
  22. 5:31
  23. 10:43
  24. 155.5
  25. 70
  26. 98
  27. 29
  28. 112
  29. 150
  30. 9:49
  31. 172.5
  32. 102
  33. 10:23
  34. 4:05
  35. 20
  36. 12:57
  37. 3:42
  38. 4
  39. 2:51
  40. 234

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