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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 502 · 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 hour hand of a clock turn in 53 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 106 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 35 minutes? =
  4. 4.A clock shows 4:47. What time will it show 139 minutes later? (a) 8:06 (b) 7:16 (c) 6:56 (d) 7:06
  5. 5.How many degrees does the hour hand of a clock turn in 57 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 20 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  9. 9.A clock shows 9:09. What time will it show 143 minutes later? (a) 11:22 (b) 12:32 (c) 11:32 (d) 11:42
  10. 10.How many degrees does the minute hand of a clock turn in 4 minutes? =
  11. 11.A clock shows 12:39. What time will it show 34 minutes later? (a) 1:23 (b) 1:03 (c) 1:13 (d) 2:13
  12. 12.How many degrees does the minute hand of a clock turn in 45 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 14 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 43 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  21. 21.A clock shows 8:26. What time will it show 68 minutes later? (a) 9:34 (b) 9:44 (c) 9:24 (d) 10:34
  22. 22.A clock shows 10:44. What time will it show 74 minutes later? (a) 11:48 (b) 11:58 (c) 12:58 (d) 12:08
  23. 23.A clock shows 8:50. What time will it show 157 minutes later? (a) 11:27 (b) 11:37 (c) 11:17 (d) 12:27
  24. 24.How many degrees does the hour hand of a clock turn in 39 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 42 minutes? =
  26. 26.A clock shows 1:03. What time will it show 88 minutes later? (a) 2:21 (b) 3:31 (c) 2:31 (d) 2:41
  27. 27.How many degrees does the minute hand of a clock turn in 35 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:48? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 13 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  34. 34.A clock shows 12:31. What time will it show 68 minutes later? (a) 1:39 (b) 1:29 (c) 2:39 (d) 1:49
  35. 35.How many degrees does the minute hand of a clock turn in 50 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 15 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 10 minutes? =
  39. 39.A clock shows 6:45. What time will it show 105 minutes later? (a) 8:40 (b) 8:20 (c) 9:30 (d) 8:30
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =

Answer key

  1. 26.5
  2. 53
  3. 17.5
  4. 7:06
  5. 28.5
  6. 120
  7. 178.5
  8. 13.5
  9. 11:32
  10. 24
  11. 1:13
  12. 270
  13. 84
  14. 258
  15. 86.5
  16. 144.5
  17. 49
  18. 132
  19. 164.5
  20. 17
  21. 9:34
  22. 11:58
  23. 11:27
  24. 19.5
  25. 252
  26. 2:31
  27. 210
  28. 95.5
  29. 141.5
  30. 51.5
  31. 96
  32. 78
  33. 57.5
  34. 1:39
  35. 300
  36. 130
  37. 90
  38. 60
  39. 8:30
  40. 2

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