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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 921 · 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.A clock shows 1:20. What time will it show 39 minutes later? (a) 2:09 (b) 1:49 (c) 2:59 (d) 1:59
  2. 2.How many degrees does the minute hand of a clock turn in 48 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 122 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 8 minutes? =
  5. 5.A clock shows 12:17. What time will it show 146 minutes later? (a) 2:33 (b) 2:43 (c) 3:43 (d) 2:53
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 34 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 170 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 22 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 7 minutes? =
  12. 12.A clock shows 7:02. What time will it show 157 minutes later? (a) 9:39 (b) 9:49 (c) 10:39 (d) 9:29
  13. 13.How many degrees does the hour hand of a clock turn in 76 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 36 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 50 minutes? =
  16. 16.A clock shows 9:43. What time will it show 12 minutes later? (a) 9:45 (b) 10:55 (c) 9:55 (d) 10:05
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  18. 18.A clock shows 7:25. What time will it show 81 minutes later? (a) 8:46 (b) 8:56 (c) 8:36 (d) 9:46
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  22. 22.A clock shows 6:44. What time will it show 94 minutes later? (a) 8:18 (b) 8:28 (c) 8:08 (d) 9:18
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 77 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 52 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  27. 27.A clock shows 10:49. What time will it show 117 minutes later? (a) 12:46 (b) 12:56 (c) 1:46 (d) 12:36
  28. 28.A clock shows 2:07. What time will it show 159 minutes later? (a) 4:36 (b) 5:46 (c) 4:56 (d) 4:46
  29. 29.A clock shows 3:21. What time will it show 15 minutes later? (a) 3:36 (b) 3:26 (c) 3:46 (d) 4:36
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 25 minutes? =
  35. 35.A clock shows 10:22. What time will it show 11 minutes later? (a) 10:33 (b) 10:23 (c) 10:43 (d) 11:33
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 124 minutes? =
  39. 39.A clock shows 1:54. What time will it show 107 minutes later? (a) 3:41 (b) 3:51 (c) 4:41 (d) 3:31
  40. 40.How many degrees does the minute hand of a clock turn in 50 minutes? =

Answer key

  1. 1:59
  2. 288
  3. 61
  4. 48
  5. 2:43
  6. 50
  7. 204
  8. 85
  9. 132
  10. 101.5
  11. 42
  12. 9:39
  13. 38
  14. 18
  15. 25
  16. 9:55
  17. 20
  18. 8:46
  19. 119
  20. 144
  21. 94
  22. 8:18
  23. 25.5
  24. 38.5
  25. 312
  26. 49.5
  27. 12:46
  28. 4:46
  29. 3:36
  30. 136
  31. 54.5
  32. 10.5
  33. 58
  34. 12.5
  35. 10:33
  36. 57.5
  37. 148
  38. 62
  39. 3:41
  40. 300

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