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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 420 · 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 5:09? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 7 minutes? =
  3. 3.A clock shows 1:45. What time will it show 95 minutes later? (a) 3:10 (b) 3:20 (c) 3:30 (d) 4:20
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  5. 5.A clock shows 10:57. What time will it show 32 minutes later? (a) 11:19 (b) 12:29 (c) 11:39 (d) 11:29
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  8. 8.A clock shows 11:07. What time will it show 163 minutes later? (a) 2:50 (b) 1:40 (c) 1:50 (d) 2:00
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  10. 10.A clock shows 11:15. What time will it show 151 minutes later? (a) 1:56 (b) 2:46 (c) 1:46 (d) 1:36
  11. 11.How many degrees does the minute hand of a clock turn in 29 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 38 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  14. 14.A clock shows 5:27. What time will it show 39 minutes later? (a) 5:56 (b) 6:06 (c) 7:06 (d) 6:16
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  16. 16.A clock shows 4:00. What time will it show 137 minutes later? (a) 6:17 (b) 6:07 (c) 6:27 (d) 7:17
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  18. 18.A clock shows 6:29. What time will it show 168 minutes later? (a) 9:07 (b) 9:27 (c) 10:17 (d) 9:17
  19. 19.A clock shows 8:00. What time will it show 29 minutes later? (a) 8:39 (b) 9:29 (c) 8:19 (d) 8:29
  20. 20.A clock shows 4:35. What time will it show 37 minutes later? (a) 5:22 (b) 6:12 (c) 5:02 (d) 5:12
  21. 21.A clock shows 8:36. What time will it show 58 minutes later? (a) 10:34 (b) 9:24 (c) 9:34 (d) 9:44
  22. 22.How many degrees does the minute hand of a clock turn in 54 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 28 minutes? =
  25. 25.A clock shows 10:46. What time will it show 105 minutes later? (a) 12:31 (b) 12:41 (c) 1:31 (d) 12:21
  26. 26.How many degrees does the hour hand of a clock turn in 40 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 4 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 91 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 27 minutes? =
  34. 34.A clock shows 12:00. What time will it show 123 minutes later? (a) 3:03 (b) 1:53 (c) 2:03 (d) 2:13
  35. 35.How many degrees does the minute hand of a clock turn in 39 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  39. 39.A clock shows 4:48. What time will it show 114 minutes later? (a) 6:32 (b) 7:42 (c) 6:42 (d) 6:52
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =

Answer key

  1. 100.5
  2. 42
  3. 3:20
  4. 105.5
  5. 11:29
  6. 8
  7. 167.5
  8. 1:50
  9. 117
  10. 1:46
  11. 174
  12. 19
  13. 158
  14. 6:06
  15. 57
  16. 6:17
  17. 169.5
  18. 9:17
  19. 8:29
  20. 5:12
  21. 9:34
  22. 324
  23. 72.5
  24. 168
  25. 12:31
  26. 20
  27. 102
  28. 82
  29. 76.5
  30. 24
  31. 156
  32. 45.5
  33. 162
  34. 2:03
  35. 234
  36. 108.5
  37. 17.5
  38. 46
  39. 6:42
  40. 152

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