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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 995 · 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 7:06? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 117 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 58 minutes? =
  4. 4.A clock shows 3:36. What time will it show 147 minutes later? (a) 7:03 (b) 6:03 (c) 6:13 (d) 5:53
  5. 5.A clock shows 5:25. What time will it show 119 minutes later? (a) 7:34 (b) 8:24 (c) 7:14 (d) 7:24
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 14 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 18 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  13. 13.A clock shows 1:28. What time will it show 119 minutes later? (a) 3:17 (b) 4:27 (c) 3:27 (d) 3:37
  14. 14.How many degrees does the hour hand of a clock turn in 163 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  16. 16.A clock shows 10:39. What time will it show 35 minutes later? (a) 11:24 (b) 11:04 (c) 11:14 (d) 12:14
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  18. 18.A clock shows 5:25. What time will it show 71 minutes later? (a) 6:36 (b) 6:46 (c) 7:36 (d) 6:26
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  20. 20.A clock shows 4:19. What time will it show 83 minutes later? (a) 5:32 (b) 5:52 (c) 5:42 (d) 6:42
  21. 21.How many degrees does the minute hand of a clock turn in 26 minutes? =
  22. 22.A clock shows 10:03. What time will it show 45 minutes later? (a) 10:38 (b) 11:48 (c) 10:58 (d) 10:48
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 178 minutes? =
  25. 25.A clock shows 8:02. What time will it show 25 minutes later? (a) 8:27 (b) 9:27 (c) 8:17 (d) 8:37
  26. 26.How many degrees does the hour hand of a clock turn in 153 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 44 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 137 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  31. 31.A clock shows 4:08. What time will it show 67 minutes later? (a) 6:15 (b) 5:05 (c) 5:15 (d) 5:25
  32. 32.A clock shows 6:13. What time will it show 161 minutes later? (a) 9:04 (b) 9:54 (c) 8:44 (d) 8:54
  33. 33.How many degrees does the minute hand of a clock turn in 44 minutes? =
  34. 34.A clock shows 11:05. What time will it show 103 minutes later? (a) 12:38 (b) 1:48 (c) 12:58 (d) 12:48
  35. 35.A clock shows 2:11. What time will it show 146 minutes later? (a) 4:27 (b) 5:37 (c) 4:37 (d) 4:47
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 7 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 59 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  40. 40.A clock shows 8:27. What time will it show 78 minutes later? (a) 9:55 (b) 9:35 (c) 10:45 (d) 9:45

Answer key

  1. 177
  2. 58.5
  3. 348
  4. 6:03
  5. 7:24
  6. 56.5
  7. 58.5
  8. 84
  9. 9
  10. 11.5
  11. 92.5
  12. 140.5
  13. 3:27
  14. 81.5
  15. 22.5
  16. 11:14
  17. 116.5
  18. 6:36
  19. 152
  20. 5:42
  21. 156
  22. 10:48
  23. 99
  24. 89
  25. 8:27
  26. 76.5
  27. 22
  28. 68.5
  29. 87
  30. 90
  31. 5:15
  32. 8:54
  33. 264
  34. 12:48
  35. 4:37
  36. 82
  37. 42
  38. 354
  39. 107.5
  40. 9:45

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