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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 404 · 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 6:18? (in degrees) =
  2. 2.A clock shows 2:03. What time will it show 108 minutes later? (a) 3:51 (b) 4:51 (c) 3:41 (d) 4:01
  3. 3.A clock shows 11:44. What time will it show 142 minutes later? (a) 1:56 (b) 2:06 (c) 2:16 (d) 3:06
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  5. 5.A clock shows 10:20. What time will it show 134 minutes later? (a) 1:34 (b) 12:24 (c) 12:34 (d) 12:44
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 25 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 7 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  15. 15.A clock shows 3:05. What time will it show 13 minutes later? (a) 3:28 (b) 3:08 (c) 3:18 (d) 4:18
  16. 16.A clock shows 5:10. What time will it show 38 minutes later? (a) 6:48 (b) 5:58 (c) 5:38 (d) 5:48
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 24 minutes? =
  19. 19.A clock shows 11:31. What time will it show 48 minutes later? (a) 12:19 (b) 12:09 (c) 1:19 (d) 12:29
  20. 20.A clock shows 10:38. What time will it show 61 minutes later? (a) 12:39 (b) 11:49 (c) 11:29 (d) 11:39
  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 6:49? (in degrees) =
  23. 23.A clock shows 8:47. What time will it show 31 minutes later? (a) 9:18 (b) 10:18 (c) 9:08 (d) 9:28
  24. 24.A clock shows 11:55. What time will it show 87 minutes later? (a) 1:22 (b) 2:22 (c) 1:12 (d) 1:32
  25. 25.A clock shows 3:19. What time will it show 45 minutes later? (a) 3:54 (b) 4:14 (c) 5:04 (d) 4:04
  26. 26.How many degrees does the minute hand of a clock turn in 27 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 99 minutes? =
  29. 29.A clock shows 9:50. What time will it show 56 minutes later? (a) 10:56 (b) 11:46 (c) 10:36 (d) 10:46
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  32. 32.A clock shows 5:34. What time will it show 47 minutes later? (a) 6:21 (b) 6:31 (c) 7:21 (d) 6:11
  33. 33.A clock shows 1:36. What time will it show 45 minutes later? (a) 2:31 (b) 2:11 (c) 3:21 (d) 2:21
  34. 34.How many degrees does the minute hand of a clock turn in 21 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 88 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  38. 38.A clock shows 7:44. What time will it show 137 minutes later? (a) 9:51 (b) 10:11 (c) 10:01 (d) 11:01
  39. 39.A clock shows 6:09. What time will it show 71 minutes later? (a) 7:10 (b) 7:30 (c) 8:20 (d) 7:20
  40. 40.A clock shows 8:43. What time will it show 156 minutes later? (a) 12:19 (b) 11:19 (c) 11:29 (d) 11:09

Answer key

  1. 81
  2. 3:51
  3. 2:06
  4. 143.5
  5. 12:34
  6. 160.5
  7. 150
  8. 164.5
  9. 42
  10. 111
  11. 158.5
  12. 137
  13. 130.5
  14. 93.5
  15. 3:18
  16. 5:48
  17. 141.5
  18. 12
  19. 12:19
  20. 11:39
  21. 342
  22. 89.5
  23. 9:18
  24. 1:22
  25. 4:04
  26. 162
  27. 63.5
  28. 49.5
  29. 10:46
  30. 42.5
  31. 111
  32. 6:21
  33. 2:21
  34. 126
  35. 33
  36. 44
  37. 172
  38. 10:01
  39. 7:20
  40. 11:19

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