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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 571 · 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 10:27? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 150 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 152 minutes? =
  5. 5.A clock shows 9:53. What time will it show 121 minutes later? (a) 12:54 (b) 12:04 (c) 11:54 (d) 11:44
  6. 6.A clock shows 12:10. What time will it show 19 minutes later? (a) 12:19 (b) 12:39 (c) 12:29 (d) 1:29
  7. 7.A clock shows 3:57. What time will it show 125 minutes later? (a) 7:02 (b) 5:52 (c) 6:02 (d) 6:12
  8. 8.How many degrees does the minute hand of a clock turn in 59 minutes? =
  9. 9.A clock shows 2:37. What time will it show 58 minutes later? (a) 3:25 (b) 4:35 (c) 3:35 (d) 3:45
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 49 minutes? =
  12. 12.A clock shows 10:51. What time will it show 48 minutes later? (a) 11:39 (b) 12:39 (c) 11:29 (d) 11:49
  13. 13.How many degrees does the minute hand of a clock turn in 19 minutes? =
  14. 14.A clock shows 11:18. What time will it show 97 minutes later? (a) 12:45 (b) 1:05 (c) 1:55 (d) 12:55
  15. 15.A clock shows 3:25. What time will it show 39 minutes later? (a) 5:04 (b) 3:54 (c) 4:14 (d) 4:04
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 28 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 30 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 52 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 13 minutes? =
  23. 23.A clock shows 5:09. What time will it show 152 minutes later? (a) 7:31 (b) 7:41 (c) 7:51 (d) 8:41
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  25. 25.A clock shows 5:02. What time will it show 132 minutes later? (a) 7:24 (b) 7:04 (c) 8:14 (d) 7:14
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  28. 28.A clock shows 1:08. What time will it show 45 minutes later? (a) 2:03 (b) 2:53 (c) 1:43 (d) 1:53
  29. 29.How many degrees does the minute hand of a clock turn in 37 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  31. 31.A clock shows 11:18. What time will it show 81 minutes later? (a) 1:39 (b) 12:39 (c) 12:29 (d) 12:49
  32. 32.A clock shows 1:31. What time will it show 103 minutes later? (a) 4:14 (b) 3:14 (c) 3:24 (d) 3:04
  33. 33.A clock shows 11:43. What time will it show 15 minutes later? (a) 11:48 (b) 12:08 (c) 12:58 (d) 11:58
  34. 34.How many degrees does the hour hand of a clock turn in 23 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 91 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 67 minutes? =
  38. 38.A clock shows 11:27. What time will it show 104 minutes later? (a) 1:11 (b) 1:01 (c) 2:11 (d) 1:21
  39. 39.How many degrees does the hour hand of a clock turn in 176 minutes? =
  40. 40.A clock shows 7:21. What time will it show 124 minutes later? (a) 9:15 (b) 9:35 (c) 10:25 (d) 9:25

Answer key

  1. 151.5
  2. 161.5
  3. 75
  4. 76
  5. 11:54
  6. 12:29
  7. 6:02
  8. 354
  9. 3:35
  10. 136.5
  11. 294
  12. 11:39
  13. 114
  14. 12:55
  15. 4:04
  16. 15.5
  17. 148
  18. 168
  19. 100
  20. 180
  21. 312
  22. 6.5
  23. 7:41
  24. 21.5
  25. 7:14
  26. 78
  27. 26
  28. 1:53
  29. 222
  30. 176
  31. 12:39
  32. 3:14
  33. 11:58
  34. 11.5
  35. 166.5
  36. 45.5
  37. 33.5
  38. 1:11
  39. 88
  40. 9:25

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