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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 215 · 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 1:52? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 28 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 59 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 44 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 60 minutes? =
  9. 9.A clock shows 2:03. What time will it show 130 minutes later? (a) 4:23 (b) 5:13 (c) 4:13 (d) 4:03
  10. 10.A clock shows 4:51. What time will it show 75 minutes later? (a) 6:16 (b) 5:56 (c) 7:06 (d) 6:06
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  12. 12.A clock shows 8:57. What time will it show 20 minutes later? (a) 9:27 (b) 9:17 (c) 9:07 (d) 10:17
  13. 13.How many degrees does the minute hand of a clock turn in 21 minutes? =
  14. 14.A clock shows 4:40. What time will it show 151 minutes later? (a) 7:21 (b) 7:11 (c) 7:01 (d) 8:11
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  16. 16.A clock shows 3:58. What time will it show 53 minutes later? (a) 5:51 (b) 4:51 (c) 4:41 (d) 5:01
  17. 17.How many degrees does the minute hand of a clock turn in 46 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  19. 19.A clock shows 2:27. What time will it show 128 minutes later? (a) 4:35 (b) 5:35 (c) 4:45 (d) 4:25
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
  25. 25.A clock shows 3:22. What time will it show 146 minutes later? (a) 5:48 (b) 6:48 (c) 5:38 (d) 5:58
  26. 26.How many degrees does the minute hand of a clock turn in 18 minutes? =
  27. 27.A clock shows 1:16. What time will it show 14 minutes later? (a) 1:20 (b) 1:30 (c) 1:40 (d) 2:30
  28. 28.A clock shows 4:32. What time will it show 77 minutes later? (a) 5:59 (b) 5:39 (c) 5:49 (d) 6:49
  29. 29.A clock shows 2:11. What time will it show 19 minutes later? (a) 2:40 (b) 2:30 (c) 2:20 (d) 3:30
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  31. 31.A clock shows 6:07. What time will it show 139 minutes later? (a) 9:26 (b) 8:26 (c) 8:36 (d) 8:16
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 55 minutes? =
  34. 34.A clock shows 1:50. What time will it show 34 minutes later? (a) 2:24 (b) 2:14 (c) 2:34 (d) 3:24
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 41 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 118 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 150 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 23 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =

Answer key

  1. 104
  2. 14
  3. 171
  4. 33.5
  5. 354
  6. 100.5
  7. 22
  8. 30
  9. 4:13
  10. 6:06
  11. 56.5
  12. 9:17
  13. 126
  14. 7:11
  15. 79
  16. 4:51
  17. 276
  18. 165
  19. 4:35
  20. 115.5
  21. 147.5
  22. 84.5
  23. 139
  24. 28
  25. 5:48
  26. 108
  27. 1:30
  28. 5:49
  29. 2:30
  30. 49.5
  31. 8:26
  32. 137
  33. 330
  34. 2:24
  35. 74
  36. 246
  37. 59
  38. 75
  39. 138
  40. 101

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