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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 769 · 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 7:58. What time will it show 87 minutes later? (a) 10:25 (b) 9:25 (c) 9:15 (d) 9:35
  2. 2.A clock shows 12:15. What time will it show 13 minutes later? (a) 12:38 (b) 1:28 (c) 12:18 (d) 12:28
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 43 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 169 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 36 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  11. 11.A clock shows 1:00. What time will it show 78 minutes later? (a) 2:28 (b) 2:08 (c) 2:18 (d) 3:18
  12. 12.A clock shows 9:16. What time will it show 55 minutes later? (a) 10:11 (b) 11:11 (c) 10:21 (d) 10:01
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  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 36 minutes? =
  16. 16.A clock shows 7:41. What time will it show 103 minutes later? (a) 10:24 (b) 9:34 (c) 9:14 (d) 9:24
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  18. 18.A clock shows 3:47. What time will it show 140 minutes later? (a) 5:57 (b) 6:07 (c) 6:17 (d) 7:07
  19. 19.A clock shows 12:15. What time will it show 152 minutes later? (a) 2:37 (b) 3:47 (c) 2:57 (d) 2:47
  20. 20.How many degrees does the minute hand of a clock turn in 21 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  22. 22.A clock shows 12:10. What time will it show 146 minutes later? (a) 3:36 (b) 2:46 (c) 2:26 (d) 2:36
  23. 23.A clock shows 11:07. What time will it show 72 minutes later? (a) 1:19 (b) 12:19 (c) 12:09 (d) 12:29
  24. 24.A clock shows 6:49. What time will it show 130 minutes later? (a) 8:59 (b) 9:09 (c) 8:49 (d) 9:59
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 12 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 34 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 24 minutes? =
  30. 30.A clock shows 7:33. What time will it show 123 minutes later? (a) 9:26 (b) 10:36 (c) 9:36 (d) 9:46
  31. 31.How many degrees does the minute hand of a clock turn in 33 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 175 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 39 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 59 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 30 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  39. 39.A clock shows 10:02. What time will it show 42 minutes later? (a) 10:34 (b) 10:54 (c) 11:44 (d) 10:44
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =

Answer key

  1. 9:25
  2. 12:28
  3. 147
  4. 47
  5. 21.5
  6. 172
  7. 258
  8. 84.5
  9. 216
  10. 125.5
  11. 2:18
  12. 10:11
  13. 162.5
  14. 276
  15. 18
  16. 9:24
  17. 88
  18. 6:07
  19. 2:47
  20. 126
  21. 169
  22. 2:36
  23. 12:19
  24. 8:59
  25. 130
  26. 177.5
  27. 72
  28. 204
  29. 144
  30. 9:36
  31. 198
  32. 87.5
  33. 46.5
  34. 234
  35. 79.5
  36. 354
  37. 15
  38. 49
  39. 10:44
  40. 110

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