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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 620 · 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 3:14. What time will it show 104 minutes later? (a) 5:08 (b) 4:48 (c) 5:58 (d) 4:58
  2. 2.A clock shows 5:44. What time will it show 80 minutes later? (a) 6:54 (b) 7:14 (c) 8:04 (d) 7:04
  3. 3.A clock shows 8:59. What time will it show 52 minutes later? (a) 9:41 (b) 9:51 (c) 10:01 (d) 10:51
  4. 4.A clock shows 7:13. What time will it show 170 minutes later? (a) 11:03 (b) 9:53 (c) 10:13 (d) 10:03
  5. 5.A clock shows 11:22. What time will it show 108 minutes later? (a) 1:00 (b) 2:10 (c) 1:20 (d) 1:10
  6. 6.How many degrees does the hour hand of a clock turn in 11 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  9. 9.A clock shows 11:37. What time will it show 92 minutes later? (a) 12:59 (b) 1:09 (c) 1:19 (d) 2:09
  10. 10.A clock shows 8:04. What time will it show 121 minutes later? (a) 11:05 (b) 10:15 (c) 10:05 (d) 9:55
  11. 11.A clock shows 8:42. What time will it show 62 minutes later? (a) 9:44 (b) 9:34 (c) 9:54 (d) 10:44
  12. 12.How many degrees does the hour hand of a clock turn in 87 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 40 minutes? =
  14. 14.A clock shows 2:24. What time will it show 156 minutes later? (a) 6:00 (b) 4:50 (c) 5:10 (d) 5:00
  15. 15.How many degrees does the minute hand of a clock turn in 16 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 50 minutes? =
  19. 19.A clock shows 9:48. What time will it show 22 minutes later? (a) 10:10 (b) 11:10 (c) 10:00 (d) 10:20
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  21. 21.A clock shows 4:56. What time will it show 93 minutes later? (a) 7:29 (b) 6:19 (c) 6:39 (d) 6:29
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  24. 24.A clock shows 7:45. What time will it show 165 minutes later? (a) 11:30 (b) 10:30 (c) 10:20 (d) 10:40
  25. 25.A clock shows 1:39. What time will it show 105 minutes later? (a) 3:14 (b) 4:24 (c) 3:24 (d) 3:34
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  28. 28.A clock shows 3:24. What time will it show 89 minutes later? (a) 4:43 (b) 5:53 (c) 4:53 (d) 5:03
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  32. 32.A clock shows 5:15. What time will it show 162 minutes later? (a) 8:57 (b) 7:57 (c) 8:07 (d) 7:47
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  34. 34.A clock shows 11:48. What time will it show 53 minutes later? (a) 12:41 (b) 1:41 (c) 12:31 (d) 12:51
  35. 35.How many degrees does the hour hand of a clock turn in 25 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 141 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  39. 39.A clock shows 11:04. What time will it show 67 minutes later? (a) 12:01 (b) 12:21 (c) 1:11 (d) 12:11
  40. 40.How many degrees does the hour hand of a clock turn in 20 minutes? =

Answer key

  1. 4:58
  2. 7:04
  3. 9:51
  4. 10:03
  5. 1:10
  6. 5.5
  7. 81.5
  8. 84
  9. 1:09
  10. 10:05
  11. 9:44
  12. 43.5
  13. 20
  14. 5:00
  15. 96
  16. 148
  17. 42.5
  18. 300
  19. 10:10
  20. 142.5
  21. 6:29
  22. 169.5
  23. 172.5
  24. 10:30
  25. 3:24
  26. 16
  27. 48.5
  28. 4:53
  29. 114.5
  30. 129
  31. 144.5
  32. 7:57
  33. 145.5
  34. 12:41
  35. 12.5
  36. 70.5
  37. 140
  38. 49.5
  39. 12:11
  40. 10

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