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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 246 · 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 5:43. What time will it show 16 minutes later? (a) 6:09 (b) 6:59 (c) 5:59 (d) 5:49
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  3. 3.A clock shows 7:15. What time will it show 35 minutes later? (a) 7:40 (b) 7:50 (c) 8:50 (d) 8:00
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  5. 5.A clock shows 10:47. What time will it show 87 minutes later? (a) 12:04 (b) 12:14 (c) 12:24 (d) 1:14
  6. 6.How many degrees does the hour hand of a clock turn in 81 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 14 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 44 minutes? =
  9. 9.A clock shows 2:04. What time will it show 56 minutes later? (a) 3:10 (b) 4:00 (c) 2:50 (d) 3:00
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 5 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 44 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 46 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 51 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  17. 17.A clock shows 6:47. What time will it show 90 minutes later? (a) 8:07 (b) 8:17 (c) 9:17 (d) 8:27
  18. 18.How many degrees does the hour hand of a clock turn in 132 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 26 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 166 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 124 minutes? =
  23. 23.A clock shows 10:09. What time will it show 159 minutes later? (a) 12:48 (b) 1:48 (c) 12:58 (d) 12:38
  24. 24.A clock shows 9:54. What time will it show 13 minutes later? (a) 11:07 (b) 9:57 (c) 10:17 (d) 10:07
  25. 25.A clock shows 1:03. What time will it show 98 minutes later? (a) 2:41 (b) 2:51 (c) 3:41 (d) 2:31
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  27. 27.A clock shows 5:02. What time will it show 19 minutes later? (a) 5:21 (b) 5:31 (c) 6:21 (d) 5:11
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  29. 29.A clock shows 8:24. What time will it show 45 minutes later? (a) 9:19 (b) 8:59 (c) 10:09 (d) 9:09
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  31. 31.A clock shows 3:48. What time will it show 79 minutes later? (a) 5:17 (b) 4:57 (c) 5:07 (d) 6:07
  32. 32.A clock shows 9:50. What time will it show 166 minutes later? (a) 12:26 (b) 1:36 (c) 12:36 (d) 12:46
  33. 33.A clock shows 10:13. What time will it show 31 minutes later? (a) 10:54 (b) 11:44 (c) 10:44 (d) 10:34
  34. 34.A clock shows 7:46. What time will it show 44 minutes later? (a) 8:30 (b) 9:30 (c) 8:20 (d) 8:40
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  36. 36.A clock shows 4:03. What time will it show 40 minutes later? (a) 4:33 (b) 5:43 (c) 4:53 (d) 4:43
  37. 37.A clock shows 4:15. What time will it show 86 minutes later? (a) 6:41 (b) 5:41 (c) 5:31 (d) 5:51
  38. 38.A clock shows 3:31. What time will it show 61 minutes later? (a) 4:32 (b) 4:42 (c) 5:32 (d) 4:22
  39. 39.A clock shows 6:03. What time will it show 113 minutes later? (a) 8:06 (b) 7:56 (c) 7:46 (d) 8:56
  40. 40.How many degrees does the hour hand of a clock turn in 14 minutes? =

Answer key

  1. 5:59
  2. 94.5
  3. 7:50
  4. 117.5
  5. 12:14
  6. 40.5
  7. 84
  8. 264
  9. 3:00
  10. 0
  11. 30
  12. 131
  13. 22
  14. 276
  15. 25.5
  16. 150.5
  17. 8:17
  18. 66
  19. 13
  20. 64.5
  21. 83
  22. 62
  23. 12:48
  24. 10:07
  25. 2:41
  26. 65
  27. 5:21
  28. 152.5
  29. 9:09
  30. 25.5
  31. 5:07
  32. 12:36
  33. 10:44
  34. 8:30
  35. 24
  36. 4:43
  37. 5:41
  38. 4:32
  39. 7:56
  40. 7

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