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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 978 · 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 1:08? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 126 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 14 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 150 minutes? =
  5. 5.A clock shows 4:22. What time will it show 64 minutes later? (a) 6:26 (b) 5:26 (c) 5:36 (d) 5:16
  6. 6.A clock shows 5:19. What time will it show 98 minutes later? (a) 6:57 (b) 7:07 (c) 7:57 (d) 6:47
  7. 7.A clock shows 3:39. What time will it show 71 minutes later? (a) 4:40 (b) 5:50 (c) 4:50 (d) 5:00
  8. 8.A clock shows 8:58. What time will it show 159 minutes later? (a) 11:37 (b) 11:27 (c) 12:37 (d) 11:47
  9. 9.A clock shows 9:00. What time will it show 101 minutes later? (a) 10:51 (b) 10:31 (c) 10:41 (d) 11:41
  10. 10.A clock shows 9:19. What time will it show 156 minutes later? (a) 12:55 (b) 12:05 (c) 11:45 (d) 11:55
  11. 11.How many degrees does the hour hand of a clock turn in 107 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  13. 13.A clock shows 10:51. What time will it show 34 minutes later? (a) 11:25 (b) 11:15 (c) 11:35 (d) 12:25
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 7 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 42 minutes? =
  17. 17.A clock shows 8:29. What time will it show 147 minutes later? (a) 10:46 (b) 11:56 (c) 11:06 (d) 10:56
  18. 18.How many degrees does the hour hand of a clock turn in 17 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 154 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 32 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 54 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 46 minutes? =
  29. 29.A clock shows 4:03. What time will it show 79 minutes later? (a) 5:22 (b) 5:32 (c) 5:12 (d) 6:22
  30. 30.A clock shows 8:05. What time will it show 118 minutes later? (a) 10:13 (b) 9:53 (c) 11:03 (d) 10:03
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 133 minutes? =
  33. 33.A clock shows 10:13. What time will it show 75 minutes later? (a) 12:28 (b) 11:28 (c) 11:18 (d) 11:38
  34. 34.A clock shows 11:19. What time will it show 21 minutes later? (a) 11:50 (b) 11:30 (c) 12:40 (d) 11:40
  35. 35.A clock shows 12:09. What time will it show 45 minutes later? (a) 12:44 (b) 12:54 (c) 1:54 (d) 1:04
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  39. 39.A clock shows 1:43. What time will it show 104 minutes later? (a) 3:17 (b) 4:27 (c) 3:27 (d) 3:37
  40. 40.A clock shows 5:23. What time will it show 34 minutes later? (a) 6:07 (b) 6:57 (c) 5:57 (d) 5:47

Answer key

  1. 14
  2. 63
  3. 84
  4. 75
  5. 5:26
  6. 6:57
  7. 4:50
  8. 11:37
  9. 10:41
  10. 11:55
  11. 53.5
  12. 20
  13. 11:25
  14. 114.5
  15. 42
  16. 21
  17. 10:56
  18. 8.5
  19. 8.5
  20. 67.5
  21. 125.5
  22. 77
  23. 1.5
  24. 153
  25. 16
  26. 324
  27. 32
  28. 23
  29. 5:22
  30. 10:03
  31. 128.5
  32. 66.5
  33. 11:28
  34. 11:40
  35. 12:54
  36. 79.5
  37. 51
  38. 16
  39. 3:27
  40. 5:57

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