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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 916 · 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.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  2. 2.A clock shows 1:21. What time will it show 23 minutes later? (a) 1:44 (b) 2:44 (c) 1:34 (d) 1:54
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 28 minutes? =
  5. 5.A clock shows 11:46. What time will it show 95 minutes later? (a) 1:31 (b) 2:21 (c) 1:11 (d) 1:21
  6. 6.A clock shows 9:32. What time will it show 127 minutes later? (a) 11:49 (b) 11:29 (c) 11:39 (d) 12:39
  7. 7.How many degrees does the hour hand of a clock turn in 35 minutes? =
  8. 8.A clock shows 9:07. What time will it show 104 minutes later? (a) 10:41 (b) 11:51 (c) 10:51 (d) 11:01
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  10. 10.A clock shows 11:13. What time will it show 137 minutes later? (a) 1:40 (b) 1:20 (c) 2:30 (d) 1:30
  11. 11.A clock shows 10:45. What time will it show 62 minutes later? (a) 11:57 (b) 11:37 (c) 11:47 (d) 12:47
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  14. 14.A clock shows 11:11. What time will it show 166 minutes later? (a) 2:57 (b) 1:47 (c) 2:07 (d) 1:57
  15. 15.How many degrees does the hour hand of a clock turn in 104 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  19. 19.A clock shows 9:06. What time will it show 44 minutes later? (a) 10:50 (b) 9:40 (c) 10:00 (d) 9:50
  20. 20.How many degrees does the hour hand of a clock turn in 175 minutes? =
  21. 21.A clock shows 5:17. What time will it show 35 minutes later? (a) 5:52 (b) 6:02 (c) 5:42 (d) 6:52
  22. 22.How many degrees does the minute hand of a clock turn in 17 minutes? =
  23. 23.A clock shows 8:09. What time will it show 148 minutes later? (a) 11:37 (b) 10:37 (c) 10:47 (d) 10:27
  24. 24.How many degrees does the hour hand of a clock turn in 132 minutes? =
  25. 25.A clock shows 7:12. What time will it show 57 minutes later? (a) 7:59 (b) 9:09 (c) 8:19 (d) 8:09
  26. 26.A clock shows 5:51. What time will it show 62 minutes later? (a) 6:53 (b) 7:03 (c) 6:43 (d) 7:53
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  28. 28.A clock shows 12:43. What time will it show 64 minutes later? (a) 1:47 (b) 1:57 (c) 1:37 (d) 2:47
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 30 minutes? =
  31. 31.A clock shows 1:16. What time will it show 90 minutes later? (a) 2:56 (b) 2:46 (c) 2:36 (d) 3:46
  32. 32.How many degrees does the hour hand of a clock turn in 178 minutes? =
  33. 33.A clock shows 9:10. What time will it show 128 minutes later? (a) 12:18 (b) 11:18 (c) 11:08 (d) 11:28
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  36. 36.A clock shows 12:46. What time will it show 10 minutes later? (a) 1:56 (b) 1:06 (c) 12:56 (d) 12:46
  37. 37.How many degrees does the hour hand of a clock turn in 13 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 51 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 179 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =

Answer key

  1. 105
  2. 1:44
  3. 167.5
  4. 168
  5. 1:21
  6. 11:39
  7. 17.5
  8. 10:51
  9. 102.5
  10. 1:30
  11. 11:47
  12. 66
  13. 9
  14. 1:57
  15. 52
  16. 165.5
  17. 65
  18. 110.5
  19. 9:50
  20. 87.5
  21. 5:52
  22. 102
  23. 10:37
  24. 66
  25. 8:09
  26. 6:53
  27. 162.5
  28. 1:47
  29. 70
  30. 180
  31. 2:46
  32. 89
  33. 11:18
  34. 86.5
  35. 176
  36. 12:56
  37. 6.5
  38. 306
  39. 89.5
  40. 56

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