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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 344 · 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 minute hand of a clock turn in 10 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  3. 3.A clock shows 1:55. What time will it show 144 minutes later? (a) 4:09 (b) 5:19 (c) 4:19 (d) 4:29
  4. 4.A clock shows 8:16. What time will it show 25 minutes later? (a) 8:31 (b) 8:51 (c) 8:41 (d) 9:41
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  7. 7.A clock shows 4:13. What time will it show 164 minutes later? (a) 6:57 (b) 7:07 (c) 6:47 (d) 7:57
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 29 minutes? =
  11. 11.A clock shows 12:17. What time will it show 10 minutes later? (a) 12:27 (b) 1:27 (c) 12:17 (d) 12:37
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 34 minutes? =
  14. 14.A clock shows 3:01. What time will it show 75 minutes later? (a) 4:16 (b) 5:16 (c) 4:06 (d) 4:26
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 92 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 27 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 60 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  24. 24.A clock shows 9:38. What time will it show 45 minutes later? (a) 10:33 (b) 11:23 (c) 10:23 (d) 10:13
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  26. 26.A clock shows 1:19. What time will it show 112 minutes later? (a) 3:11 (b) 3:21 (c) 4:11 (d) 3:01
  27. 27.A clock shows 2:51. What time will it show 99 minutes later? (a) 4:20 (b) 4:40 (c) 5:30 (d) 4:30
  28. 28.A clock shows 4:09. What time will it show 122 minutes later? (a) 6:21 (b) 6:01 (c) 6:11 (d) 7:11
  29. 29.A clock shows 5:08. What time will it show 165 minutes later? (a) 8:53 (b) 7:53 (c) 7:43 (d) 8:03
  30. 30.How many degrees does the minute hand of a clock turn in 5 minutes? =
  31. 31.A clock shows 7:36. What time will it show 49 minutes later? (a) 8:35 (b) 8:25 (c) 9:25 (d) 8:15
  32. 32.A clock shows 2:30. What time will it show 33 minutes later? (a) 3:13 (b) 3:03 (c) 2:53 (d) 4:03
  33. 33.A clock shows 12:22. What time will it show 34 minutes later? (a) 1:56 (b) 12:56 (c) 12:46 (d) 1:06
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  35. 35.A clock shows 8:31. What time will it show 106 minutes later? (a) 10:27 (b) 10:07 (c) 11:17 (d) 10:17
  36. 36.A clock shows 1:53. What time will it show 120 minutes later? (a) 3:43 (b) 3:53 (c) 4:03 (d) 4:53
  37. 37.A clock shows 10:06. What time will it show 154 minutes later? (a) 12:50 (b) 1:40 (c) 12:40 (d) 12:30
  38. 38.How many degrees does the hour hand of a clock turn in 105 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 46 minutes? =

Answer key

  1. 60
  2. 157.5
  3. 4:19
  4. 8:41
  5. 116.5
  6. 122
  7. 6:57
  8. 38
  9. 173
  10. 174
  11. 12:27
  12. 93
  13. 204
  14. 4:16
  15. 177
  16. 70
  17. 46
  18. 13.5
  19. 51.5
  20. 142
  21. 142
  22. 30
  23. 124
  24. 10:23
  25. 132.5
  26. 3:11
  27. 4:30
  28. 6:11
  29. 7:53
  30. 30
  31. 8:25
  32. 3:03
  33. 12:56
  34. 156.5
  35. 10:17
  36. 3:53
  37. 12:40
  38. 52.5
  39. 50
  40. 276

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