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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 797 · 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 2:05? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 3 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 9 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 58 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 16 minutes? =
  9. 9.A clock shows 7:47. What time will it show 42 minutes later? (a) 8:39 (b) 9:29 (c) 8:29 (d) 8:19
  10. 10.A clock shows 8:32. What time will it show 95 minutes later? (a) 11:07 (b) 10:07 (c) 10:17 (d) 9:57
  11. 11.A clock shows 5:37. What time will it show 73 minutes later? (a) 7:00 (b) 6:40 (c) 7:50 (d) 6:50
  12. 12.A clock shows 11:53. What time will it show 41 minutes later? (a) 12:44 (b) 12:34 (c) 1:34 (d) 12:24
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  14. 14.A clock shows 7:02. What time will it show 81 minutes later? (a) 8:13 (b) 8:23 (c) 8:33 (d) 9:23
  15. 15.How many degrees does the minute hand of a clock turn in 26 minutes? =
  16. 16.A clock shows 8:23. What time will it show 47 minutes later? (a) 9:00 (b) 10:10 (c) 9:20 (d) 9:10
  17. 17.How many degrees does the minute hand of a clock turn in 59 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 5 minutes? =
  19. 19.A clock shows 4:56. What time will it show 54 minutes later? (a) 6:00 (b) 5:40 (c) 5:50 (d) 6:50
  20. 20.How many degrees does the minute hand of a clock turn in 49 minutes? =
  21. 21.A clock shows 10:58. What time will it show 154 minutes later? (a) 1:22 (b) 1:32 (c) 2:32 (d) 1:42
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  25. 25.A clock shows 12:14. What time will it show 137 minutes later? (a) 2:41 (b) 3:31 (c) 2:21 (d) 2:31
  26. 26.How many degrees does the minute hand of a clock turn in 37 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  29. 29.A clock shows 10:42. What time will it show 56 minutes later? (a) 11:48 (b) 11:28 (c) 12:38 (d) 11:38
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  32. 32.A clock shows 2:05. What time will it show 129 minutes later? (a) 4:24 (b) 4:14 (c) 5:14 (d) 4:04
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 32 minutes? =
  35. 35.A clock shows 6:59. What time will it show 40 minutes later? (a) 7:29 (b) 7:39 (c) 7:49 (d) 8:39
  36. 36.A clock shows 9:33. What time will it show 30 minutes later? (a) 10:03 (b) 11:03 (c) 10:13 (d) 9:53
  37. 37.A clock shows 2:12. What time will it show 136 minutes later? (a) 5:28 (b) 4:28 (c) 4:18 (d) 4:38
  38. 38.How many degrees does the minute hand of a clock turn in 39 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =

Answer key

  1. 32.5
  2. 69
  3. 101
  4. 18
  5. 54
  6. 9
  7. 29
  8. 8
  9. 8:29
  10. 10:07
  11. 6:50
  12. 12:34
  13. 78
  14. 8:23
  15. 156
  16. 9:10
  17. 354
  18. 30
  19. 5:50
  20. 294
  21. 1:32
  22. 2.5
  23. 157
  24. 73
  25. 2:31
  26. 222
  27. 159
  28. 173.5
  29. 11:38
  30. 37.5
  31. 9.5
  32. 4:14
  33. 90
  34. 16
  35. 7:39
  36. 10:03
  37. 4:28
  38. 234
  39. 153
  40. 154

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