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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 220 · 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 1:15? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  3. 3.A clock shows 10:55. What time will it show 86 minutes later? (a) 12:11 (b) 12:31 (c) 12:21 (d) 1:21
  4. 4.How many degrees does the minute hand of a clock turn in 14 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  6. 6.A clock shows 11:16. What time will it show 157 minutes later? (a) 1:53 (b) 1:43 (c) 2:03 (d) 2:53
  7. 7.A clock shows 9:19. What time will it show 11 minutes later? (a) 9:40 (b) 10:30 (c) 9:30 (d) 9:20
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  9. 9.A clock shows 2:45. What time will it show 25 minutes later? (a) 3:00 (b) 3:20 (c) 3:10 (d) 4:10
  10. 10.A clock shows 1:42. What time will it show 74 minutes later? (a) 2:56 (b) 3:06 (c) 3:56 (d) 2:46
  11. 11.How many degrees does the minute hand of a clock turn in 52 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 2 minutes? =
  13. 13.A clock shows 3:01. What time will it show 116 minutes later? (a) 4:47 (b) 5:57 (c) 4:57 (d) 5:07
  14. 14.How many degrees does the hour hand of a clock turn in 102 minutes? =
  15. 15.A clock shows 10:34. What time will it show 59 minutes later? (a) 11:33 (b) 11:43 (c) 11:23 (d) 12:33
  16. 16.A clock shows 2:45. What time will it show 27 minutes later? (a) 3:02 (b) 3:12 (c) 3:22 (d) 4:12
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  20. 20.A clock shows 7:03. What time will it show 126 minutes later? (a) 8:59 (b) 9:19 (c) 9:09 (d) 10:09
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  22. 22.A clock shows 7:41. What time will it show 81 minutes later? (a) 10:02 (b) 8:52 (c) 9:12 (d) 9:02
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  24. 24.A clock shows 12:31. What time will it show 124 minutes later? (a) 2:45 (b) 3:35 (c) 2:25 (d) 2:35
  25. 25.A clock shows 4:44. What time will it show 125 minutes later? (a) 7:49 (b) 6:49 (c) 6:39 (d) 6:59
  26. 26.A clock shows 4:41. What time will it show 166 minutes later? (a) 8:27 (b) 7:37 (c) 7:17 (d) 7:27
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 128 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  31. 31.A clock shows 6:53. What time will it show 89 minutes later? (a) 8:12 (b) 8:22 (c) 9:22 (d) 8:32
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 112 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 147 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  37. 37.A clock shows 3:11. What time will it show 82 minutes later? (a) 4:23 (b) 5:33 (c) 4:43 (d) 4:33
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  39. 39.A clock shows 10:50. What time will it show 24 minutes later? (a) 11:24 (b) 12:14 (c) 11:14 (d) 11:04
  40. 40.A clock shows 4:53. What time will it show 52 minutes later? (a) 5:45 (b) 5:55 (c) 5:35 (d) 6:45

Answer key

  1. 52.5
  2. 170
  3. 12:21
  4. 84
  5. 19
  6. 1:53
  7. 9:30
  8. 129.5
  9. 3:10
  10. 2:56
  11. 312
  12. 12
  13. 4:57
  14. 51
  15. 11:33
  16. 3:12
  17. 87
  18. 87.5
  19. 5.5
  20. 9:09
  21. 50
  22. 9:02
  23. 162
  24. 2:35
  25. 6:49
  26. 7:27
  27. 27.5
  28. 99.5
  29. 64
  30. 139.5
  31. 8:22
  32. 141.5
  33. 56
  34. 73.5
  35. 68.5
  36. 150.5
  37. 4:33
  38. 69.5
  39. 11:14
  40. 5:45

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