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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 371 · 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 6:20? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 37 minutes? =
  4. 4.A clock shows 4:38. What time will it show 137 minutes later? (a) 6:55 (b) 6:45 (c) 7:05 (d) 7:55
  5. 5.A clock shows 5:05. What time will it show 95 minutes later? (a) 6:40 (b) 7:40 (c) 6:50 (d) 6:30
  6. 6.A clock shows 4:16. What time will it show 39 minutes later? (a) 4:45 (b) 5:55 (c) 5:05 (d) 4:55
  7. 7.How many degrees does the minute hand of a clock turn in 25 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 72 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  13. 13.A clock shows 4:28. What time will it show 25 minutes later? (a) 5:03 (b) 4:53 (c) 4:43 (d) 5:53
  14. 14.A clock shows 3:07. What time will it show 73 minutes later? (a) 4:20 (b) 4:30 (c) 4:10 (d) 5:20
  15. 15.A clock shows 12:58. What time will it show 162 minutes later? (a) 3:40 (b) 3:50 (c) 3:30 (d) 4:40
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  17. 17.A clock shows 7:37. What time will it show 169 minutes later? (a) 11:26 (b) 10:26 (c) 10:16 (d) 10:36
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 8 minutes? =
  21. 21.A clock shows 1:42. What time will it show 64 minutes later? (a) 2:46 (b) 2:36 (c) 3:46 (d) 2:56
  22. 22.A clock shows 4:52. What time will it show 146 minutes later? (a) 7:28 (b) 8:18 (c) 7:08 (d) 7:18
  23. 23.A clock shows 8:56. What time will it show 82 minutes later? (a) 11:18 (b) 10:28 (c) 10:18 (d) 10:08
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 122 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  27. 27.A clock shows 8:57. What time will it show 133 minutes later? (a) 11:20 (b) 11:00 (c) 11:10 (d) 12:10
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 4 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 24 minutes? =
  32. 32.A clock shows 2:20. What time will it show 167 minutes later? (a) 4:57 (b) 6:07 (c) 5:07 (d) 5:17
  33. 33.A clock shows 5:17. What time will it show 139 minutes later? (a) 7:46 (b) 7:36 (c) 8:36 (d) 7:26
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 16 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 71 minutes? =
  38. 38.A clock shows 5:21. What time will it show 115 minutes later? (a) 7:16 (b) 7:26 (c) 8:16 (d) 7:06
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  40. 40.A clock shows 12:48. What time will it show 106 minutes later? (a) 2:34 (b) 2:44 (c) 2:24 (d) 3:34

Answer key

  1. 70
  2. 123
  3. 222
  4. 6:55
  5. 6:40
  6. 4:55
  7. 150
  8. 36
  9. 87
  10. 171.5
  11. 100
  12. 126.5
  13. 4:53
  14. 4:20
  15. 3:40
  16. 103
  17. 10:26
  18. 14.5
  19. 105
  20. 48
  21. 2:46
  22. 7:18
  23. 10:18
  24. 166.5
  25. 61
  26. 135.5
  27. 11:10
  28. 10
  29. 24
  30. 178
  31. 12
  32. 5:07
  33. 7:36
  34. 132.5
  35. 96
  36. 116.5
  37. 35.5
  38. 7:16
  39. 166
  40. 2:34

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