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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 640 · 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 3:19? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 155 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  4. 4.A clock shows 6:53. What time will it show 84 minutes later? (a) 8:27 (b) 8:17 (c) 9:17 (d) 8:07
  5. 5.A clock shows 2:04. What time will it show 32 minutes later? (a) 3:36 (b) 2:46 (c) 2:26 (d) 2:36
  6. 6.How many degrees does the hour hand of a clock turn in 131 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 22 minutes? =
  8. 8.A clock shows 6:02. What time will it show 11 minutes later? (a) 7:13 (b) 6:13 (c) 6:23 (d) 6:03
  9. 9.How many degrees does the minute hand of a clock turn in 57 minutes? =
  10. 10.A clock shows 2:11. What time will it show 26 minutes later? (a) 3:37 (b) 2:47 (c) 2:37 (d) 2:27
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 39 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
  16. 16.A clock shows 2:43. What time will it show 40 minutes later? (a) 3:33 (b) 3:13 (c) 4:23 (d) 3:23
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  18. 18.A clock shows 12:21. What time will it show 44 minutes later? (a) 12:55 (b) 1:15 (c) 1:05 (d) 2:05
  19. 19.A clock shows 11:41. What time will it show 160 minutes later? (a) 3:21 (b) 2:11 (c) 2:21 (d) 2:31
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
  21. 21.A clock shows 1:08. What time will it show 117 minutes later? (a) 3:15 (b) 3:05 (c) 4:05 (d) 2:55
  22. 22.A clock shows 12:40. What time will it show 134 minutes later? (a) 2:54 (b) 3:04 (c) 2:44 (d) 3:54
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 43 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  29. 29.A clock shows 7:20. What time will it show 35 minutes later? (a) 7:45 (b) 8:55 (c) 7:55 (d) 8:05
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  31. 31.A clock shows 4:48. What time will it show 131 minutes later? (a) 7:09 (b) 6:49 (c) 6:59 (d) 7:59
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  33. 33.A clock shows 6:48. What time will it show 72 minutes later? (a) 7:50 (b) 8:00 (c) 8:10 (d) 9:00
  34. 34.A clock shows 9:13. What time will it show 55 minutes later? (a) 10:18 (b) 9:58 (c) 10:08 (d) 11:08
  35. 35.How many degrees does the hour hand of a clock turn in 112 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 23 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 69 minutes? =
  39. 39.A clock shows 8:09. What time will it show 139 minutes later? (a) 10:28 (b) 11:28 (c) 10:38 (d) 10:18
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =

Answer key

  1. 14.5
  2. 77.5
  3. 107
  4. 8:17
  5. 2:36
  6. 65.5
  7. 132
  8. 6:13
  9. 342
  10. 2:37
  11. 21.5
  12. 45.5
  13. 13.5
  14. 234
  15. 7.5
  16. 3:23
  17. 93
  18. 1:05
  19. 2:21
  20. 27.5
  21. 3:05
  22. 2:54
  23. 131
  24. 5
  25. 9
  26. 60
  27. 258
  28. 15
  29. 7:55
  30. 69
  31. 6:59
  32. 120.5
  33. 8:00
  34. 10:08
  35. 56
  36. 25.5
  37. 138
  38. 34.5
  39. 10:28
  40. 46.5

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