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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 512 · 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 5:32? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 56 minutes? =
  10. 10.A clock shows 8:58. What time will it show 142 minutes later? (a) 11:20 (b) 11:30 (c) 12:20 (d) 11:10
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 30 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 66 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 10 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 57 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 70 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 50 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  21. 21.A clock shows 9:38. What time will it show 134 minutes later? (a) 11:42 (b) 12:52 (c) 11:52 (d) 12:02
  22. 22.A clock shows 12:37. What time will it show 15 minutes later? (a) 1:52 (b) 12:52 (c) 12:42 (d) 1:02
  23. 23.A clock shows 7:39. What time will it show 17 minutes later? (a) 8:06 (b) 8:56 (c) 7:56 (d) 7:46
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 11 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  28. 28.A clock shows 5:06. What time will it show 93 minutes later? (a) 7:39 (b) 6:49 (c) 6:39 (d) 6:29
  29. 29.A clock shows 8:36. What time will it show 98 minutes later? (a) 11:14 (b) 10:14 (c) 10:04 (d) 10:24
  30. 30.A clock shows 1:22. What time will it show 41 minutes later? (a) 2:03 (b) 3:03 (c) 1:53 (d) 2:13
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  32. 32.A clock shows 6:38. What time will it show 164 minutes later? (a) 10:22 (b) 9:12 (c) 9:22 (d) 9:32
  33. 33.A clock shows 9:37. What time will it show 57 minutes later? (a) 10:34 (b) 11:34 (c) 10:44 (d) 10:24
  34. 34.How many degrees does the hour hand of a clock turn in 51 minutes? =
  35. 35.A clock shows 9:57. What time will it show 84 minutes later? (a) 11:31 (b) 11:21 (c) 11:11 (d) 12:21
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  37. 37.A clock shows 5:30. What time will it show 133 minutes later? (a) 7:43 (b) 8:43 (c) 7:33 (d) 7:53
  38. 38.A clock shows 6:37. What time will it show 77 minutes later? (a) 8:04 (b) 8:54 (c) 7:54 (d) 7:44
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  40. 40.A clock shows 2:16. What time will it show 84 minutes later? (a) 3:30 (b) 4:40 (c) 3:40 (d) 3:50

Answer key

  1. 26
  2. 45.5
  3. 55.5
  4. 58.5
  5. 25.5
  6. 120
  7. 33.5
  8. 131
  9. 336
  10. 11:20
  11. 49.5
  12. 180
  13. 110.5
  14. 33
  15. 168.5
  16. 60
  17. 342
  18. 35
  19. 25
  20. 20.5
  21. 11:52
  22. 12:52
  23. 7:56
  24. 159.5
  25. 66
  26. 57.5
  27. 10
  28. 6:39
  29. 10:14
  30. 2:03
  31. 115
  32. 9:22
  33. 10:34
  34. 25.5
  35. 11:21
  36. 136.5
  37. 7:43
  38. 7:54
  39. 51
  40. 3:40

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