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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 659 · 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 57 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 12 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 36 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  6. 6.A clock shows 1:14. What time will it show 163 minutes later? (a) 4:57 (b) 3:47 (c) 3:57 (d) 4:07
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 61 minutes? =
  10. 10.A clock shows 5:40. What time will it show 51 minutes later? (a) 6:31 (b) 6:21 (c) 7:31 (d) 6:41
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 51 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 34 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 23 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 137 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 56 minutes? =
  20. 20.A clock shows 3:54. What time will it show 148 minutes later? (a) 7:22 (b) 6:32 (c) 6:22 (d) 6:12
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  23. 23.A clock shows 7:19. What time will it show 34 minutes later? (a) 8:53 (b) 7:53 (c) 7:43 (d) 8:03
  24. 24.A clock shows 9:43. What time will it show 79 minutes later? (a) 11:02 (b) 12:02 (c) 11:12 (d) 10:52
  25. 25.A clock shows 12:39. What time will it show 34 minutes later? (a) 1:13 (b) 2:13 (c) 1:03 (d) 1:23
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  28. 28.A clock shows 11:52. What time will it show 165 minutes later? (a) 2:37 (b) 3:37 (c) 2:27 (d) 2:47
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
  30. 30.A clock shows 11:03. What time will it show 46 minutes later? (a) 12:49 (b) 11:39 (c) 11:49 (d) 11:59
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 20 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  35. 35.A clock shows 10:52. What time will it show 87 minutes later? (a) 12:19 (b) 12:29 (c) 12:09 (d) 1:19
  36. 36.A clock shows 2:01. What time will it show 53 minutes later? (a) 2:44 (b) 3:54 (c) 2:54 (d) 3:04
  37. 37.How many degrees does the minute hand of a clock turn in 43 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =

Answer key

  1. 342
  2. 72
  3. 176
  4. 216
  5. 59
  6. 3:57
  7. 131.5
  8. 7.5
  9. 30.5
  10. 6:31
  11. 175.5
  12. 154.5
  13. 306
  14. 20
  15. 204
  16. 11.5
  17. 3
  18. 68.5
  19. 336
  20. 6:22
  21. 85.5
  22. 172
  23. 7:53
  24. 11:02
  25. 1:13
  26. 69
  27. 63
  28. 2:37
  29. 161
  30. 11:49
  31. 70.5
  32. 120
  33. 2.5
  34. 38.5
  35. 12:19
  36. 2:54
  37. 258
  38. 68
  39. 21.5
  40. 155

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