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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 20 · 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 12:01. What time will it show 75 minutes later? (a) 1:06 (b) 1:26 (c) 1:16 (d) 2:16
  2. 2.A clock shows 4:55. What time will it show 96 minutes later? (a) 6:31 (b) 6:41 (c) 6:21 (d) 7:31
  3. 3.A clock shows 2:42. What time will it show 86 minutes later? (a) 3:58 (b) 4:18 (c) 4:08 (d) 5:08
  4. 4.How many degrees does the hour hand of a clock turn in 140 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 155 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  10. 10.A clock shows 1:20. What time will it show 93 minutes later? (a) 3:53 (b) 3:03 (c) 2:53 (d) 2:43
  11. 11.A clock shows 8:16. What time will it show 36 minutes later? (a) 9:52 (b) 8:52 (c) 9:02 (d) 8:42
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 30 minutes? =
  16. 16.A clock shows 10:23. What time will it show 157 minutes later? (a) 1:10 (b) 12:50 (c) 2:00 (d) 1:00
  17. 17.A clock shows 12:53. What time will it show 28 minutes later? (a) 1:31 (b) 1:21 (c) 1:11 (d) 2:21
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  20. 20.A clock shows 8:49. What time will it show 103 minutes later? (a) 11:32 (b) 10:22 (c) 10:42 (d) 10:32
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 31 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 142 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  27. 27.A clock shows 10:58. What time will it show 83 minutes later? (a) 1:21 (b) 12:11 (c) 12:21 (d) 12:31
  28. 28.A clock shows 3:57. What time will it show 65 minutes later? (a) 6:02 (b) 5:12 (c) 5:02 (d) 4:52
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  30. 30.A clock shows 11:33. What time will it show 50 minutes later? (a) 1:23 (b) 12:23 (c) 12:33 (d) 12:13
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 15 minutes? =
  33. 33.A clock shows 3:45. What time will it show 28 minutes later? (a) 4:23 (b) 5:13 (c) 4:13 (d) 4:03
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  36. 36.A clock shows 10:41. What time will it show 26 minutes later? (a) 10:57 (b) 11:07 (c) 11:17 (d) 12:07
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 94 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 23 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 54 minutes? =

Answer key

  1. 1:16
  2. 6:31
  3. 4:08
  4. 70
  5. 144
  6. 179
  7. 133
  8. 77.5
  9. 53.5
  10. 2:53
  11. 8:52
  12. 74.5
  13. 166.5
  14. 51.5
  15. 180
  16. 1:00
  17. 1:21
  18. 82
  19. 29.5
  20. 10:32
  21. 130
  22. 94.5
  23. 15.5
  24. 117.5
  25. 71
  26. 33
  27. 12:21
  28. 5:02
  29. 177
  30. 12:23
  31. 36
  32. 7.5
  33. 4:13
  34. 40
  35. 116.5
  36. 11:07
  37. 16
  38. 47
  39. 11.5
  40. 324

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