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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 167 · 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 8:24? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 17 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 25 minutes? =
  8. 8.A clock shows 7:21. What time will it show 33 minutes later? (a) 7:54 (b) 8:04 (c) 8:54 (d) 7:44
  9. 9.How many degrees does the minute hand of a clock turn in 57 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 20 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
  14. 14.A clock shows 8:21. What time will it show 42 minutes later? (a) 9:03 (b) 9:13 (c) 8:53 (d) 10:03
  15. 15.A clock shows 3:07. What time will it show 30 minutes later? (a) 4:37 (b) 3:27 (c) 3:37 (d) 3:47
  16. 16.A clock shows 3:03. What time will it show 126 minutes later? (a) 5:19 (b) 6:09 (c) 5:09 (d) 4:59
  17. 17.How many degrees does the minute hand of a clock turn in 14 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 55 minutes? =
  20. 20.A clock shows 2:31. What time will it show 127 minutes later? (a) 5:38 (b) 4:38 (c) 4:28 (d) 4:48
  21. 21.A clock shows 2:35. What time will it show 12 minutes later? (a) 2:47 (b) 3:47 (c) 2:57 (d) 2:37
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 170 minutes? =
  24. 24.A clock shows 4:00. What time will it show 115 minutes later? (a) 5:45 (b) 6:05 (c) 6:55 (d) 5:55
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  27. 27.A clock shows 3:17. What time will it show 41 minutes later? (a) 3:58 (b) 3:48 (c) 4:08 (d) 4:58
  28. 28.A clock shows 3:30. What time will it show 35 minutes later? (a) 3:55 (b) 5:05 (c) 4:15 (d) 4:05
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  30. 30.A clock shows 1:12. What time will it show 40 minutes later? (a) 1:52 (b) 2:52 (c) 1:42 (d) 2:02
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  34. 34.A clock shows 12:01. What time will it show 117 minutes later? (a) 1:48 (b) 2:08 (c) 1:58 (d) 2:58
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  36. 36.A clock shows 3:46. What time will it show 19 minutes later? (a) 3:55 (b) 4:05 (c) 4:15 (d) 5:05
  37. 37.How many degrees does the hour hand of a clock turn in 168 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 169 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  40. 40.A clock shows 6:52. What time will it show 130 minutes later? (a) 9:12 (b) 9:02 (c) 8:52 (d) 10:02

Answer key

  1. 108
  2. 3.5
  3. 102
  4. 153
  5. 25.5
  6. 110.5
  7. 150
  8. 7:54
  9. 342
  10. 175
  11. 62
  12. 120
  13. 149
  14. 9:03
  15. 3:37
  16. 5:09
  17. 84
  18. 105.5
  19. 27.5
  20. 4:38
  21. 2:47
  22. 122.5
  23. 85
  24. 5:55
  25. 142.5
  26. 93
  27. 3:58
  28. 4:05
  29. 60
  30. 1:52
  31. 173
  32. 66.5
  33. 132.5
  34. 1:58
  35. 92.5
  36. 4:05
  37. 84
  38. 84.5
  39. 67
  40. 9:02

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