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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 842 · 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 9:35? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 19 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 2 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  6. 6.A clock shows 10:06. What time will it show 137 minutes later? (a) 12:23 (b) 12:33 (c) 12:13 (d) 1:23
  7. 7.How many degrees does the hour hand of a clock turn in 121 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  9. 9.A clock shows 2:25. What time will it show 108 minutes later? (a) 4:23 (b) 4:13 (c) 4:03 (d) 5:13
  10. 10.A clock shows 10:02. What time will it show 123 minutes later? (a) 12:15 (b) 11:55 (c) 1:05 (d) 12:05
  11. 11.A clock shows 9:14. What time will it show 59 minutes later? (a) 10:03 (b) 10:23 (c) 10:13 (d) 11:13
  12. 12.A clock shows 1:39. What time will it show 66 minutes later? (a) 2:35 (b) 3:45 (c) 2:45 (d) 2:55
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 179 minutes? =
  16. 16.A clock shows 2:44. What time will it show 71 minutes later? (a) 4:55 (b) 3:55 (c) 3:45 (d) 4:05
  17. 17.How many degrees does the minute hand of a clock turn in 34 minutes? =
  18. 18.A clock shows 3:07. What time will it show 30 minutes later? (a) 3:37 (b) 3:27 (c) 4:37 (d) 3:47
  19. 19.How many degrees does the hour hand of a clock turn in 23 minutes? =
  20. 20.A clock shows 3:30. What time will it show 112 minutes later? (a) 5:32 (b) 6:22 (c) 5:22 (d) 5:12
  21. 21.How many degrees does the minute hand of a clock turn in 57 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  23. 23.A clock shows 1:07. What time will it show 35 minutes later? (a) 1:52 (b) 1:42 (c) 2:42 (d) 1:32
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  25. 25.A clock shows 9:33. What time will it show 62 minutes later? (a) 10:25 (b) 11:35 (c) 10:45 (d) 10:35
  26. 26.A clock shows 3:38. What time will it show 51 minutes later? (a) 4:19 (b) 5:29 (c) 4:29 (d) 4:39
  27. 27.A clock shows 1:07. What time will it show 152 minutes later? (a) 4:39 (b) 3:49 (c) 3:29 (d) 3:39
  28. 28.A clock shows 5:53. What time will it show 35 minutes later? (a) 6:18 (b) 6:38 (c) 6:28 (d) 7:28
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  30. 30.A clock shows 8:20. What time will it show 14 minutes later? (a) 8:34 (b) 9:34 (c) 8:44 (d) 8:24
  31. 31.How many degrees does the hour hand of a clock turn in 132 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 93 minutes? =
  33. 33.A clock shows 3:03. What time will it show 38 minutes later? (a) 4:41 (b) 3:41 (c) 3:31 (d) 3:51
  34. 34.How many degrees does the minute hand of a clock turn in 23 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 10 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  37. 37.A clock shows 10:42. What time will it show 22 minutes later? (a) 10:54 (b) 11:04 (c) 12:04 (d) 11:14
  38. 38.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  39. 39.A clock shows 10:06. What time will it show 28 minutes later? (a) 10:24 (b) 11:34 (c) 10:34 (d) 10:44
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =

Answer key

  1. 77.5
  2. 114
  3. 12
  4. 38
  5. 80.5
  6. 12:23
  7. 60.5
  8. 120.5
  9. 4:13
  10. 12:05
  11. 10:13
  12. 2:45
  13. 14
  14. 170
  15. 89.5
  16. 3:55
  17. 204
  18. 3:37
  19. 11.5
  20. 5:22
  21. 342
  22. 100.5
  23. 1:42
  24. 90.5
  25. 10:35
  26. 4:29
  27. 3:39
  28. 6:28
  29. 44.5
  30. 8:34
  31. 66
  32. 46.5
  33. 3:41
  34. 138
  35. 5
  36. 28.5
  37. 11:04
  38. 94.5
  39. 10:34
  40. 67.5

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