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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 214 · 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 4:08? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  5. 5.A clock shows 12:32. What time will it show 26 minutes later? (a) 1:58 (b) 12:48 (c) 12:58 (d) 1:08
  6. 6.A clock shows 12:56. What time will it show 44 minutes later? (a) 1:30 (b) 1:50 (c) 2:40 (d) 1:40
  7. 7.A clock shows 5:22. What time will it show 20 minutes later? (a) 6:42 (b) 5:32 (c) 5:42 (d) 5:52
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 45 minutes? =
  10. 10.A clock shows 8:32. What time will it show 124 minutes later? (a) 10:46 (b) 10:26 (c) 11:36 (d) 10:36
  11. 11.A clock shows 10:08. What time will it show 96 minutes later? (a) 11:34 (b) 12:44 (c) 11:54 (d) 11:44
  12. 12.How many degrees does the hour hand of a clock turn in 65 minutes? =
  13. 13.A clock shows 2:05. What time will it show 58 minutes later? (a) 2:53 (b) 3:13 (c) 4:03 (d) 3:03
  14. 14.A clock shows 1:34. What time will it show 34 minutes later? (a) 3:08 (b) 1:58 (c) 2:08 (d) 2:18
  15. 15.A clock shows 12:46. What time will it show 77 minutes later? (a) 3:03 (b) 2:03 (c) 1:53 (d) 2:13
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 52 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  19. 19.A clock shows 6:17. What time will it show 15 minutes later? (a) 7:32 (b) 6:32 (c) 6:42 (d) 6:22
  20. 20.How many degrees does the hour hand of a clock turn in 125 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 55 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  26. 26.A clock shows 6:48. What time will it show 98 minutes later? (a) 8:36 (b) 8:16 (c) 9:26 (d) 8:26
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 104 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 27 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 16 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  39. 39.A clock shows 2:07. What time will it show 132 minutes later? (a) 4:19 (b) 5:19 (c) 4:29 (d) 4:09
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =

Answer key

  1. 76
  2. 12.5
  3. 94.5
  4. 101
  5. 12:58
  6. 1:40
  7. 5:42
  8. 73.5
  9. 22.5
  10. 10:36
  11. 11:44
  12. 32.5
  13. 3:03
  14. 2:08
  15. 2:03
  16. 177
  17. 312
  18. 65.5
  19. 6:32
  20. 62.5
  21. 52.5
  22. 118.5
  23. 330
  24. 48.5
  25. 165.5
  26. 8:26
  27. 164
  28. 35
  29. 52
  30. 92
  31. 178
  32. 162
  33. 48
  34. 93
  35. 90
  36. 24
  37. 96
  38. 46
  39. 4:19
  40. 167.5

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