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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 912 · 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.How many degrees does the hour hand of a clock turn in 108 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 72 minutes? =
  4. 4.A clock shows 2:55. What time will it show 153 minutes later? (a) 5:38 (b) 6:28 (c) 5:28 (d) 5:18
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  6. 6.A clock shows 8:35. What time will it show 63 minutes later? (a) 10:38 (b) 9:38 (c) 9:48 (d) 9:28
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 36 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 33 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 41 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 26 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 102 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 47 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 40 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 126 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 33 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 15 minutes? =
  20. 20.A clock shows 12:02. What time will it show 41 minutes later? (a) 1:43 (b) 12:33 (c) 12:43 (d) 12:53
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  22. 22.A clock shows 2:32. What time will it show 78 minutes later? (a) 4:00 (b) 4:50 (c) 3:50 (d) 3:40
  23. 23.A clock shows 9:26. What time will it show 62 minutes later? (a) 10:28 (b) 10:38 (c) 11:28 (d) 10:18
  24. 24.How many degrees does the hour hand of a clock turn in 40 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 18 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 6 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  28. 28.A clock shows 6:14. What time will it show 123 minutes later? (a) 9:17 (b) 8:07 (c) 8:17 (d) 8:27
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  30. 30.A clock shows 11:20. What time will it show 14 minutes later? (a) 11:34 (b) 11:24 (c) 12:34 (d) 11:44
  31. 31.A clock shows 12:03. What time will it show 62 minutes later? (a) 1:15 (b) 12:55 (c) 2:05 (d) 1:05
  32. 32.How many degrees does the hour hand of a clock turn in 85 minutes? =
  33. 33.A clock shows 10:30. What time will it show 89 minutes later? (a) 11:59 (b) 11:49 (c) 12:59 (d) 12:09
  34. 34.A clock shows 9:07. What time will it show 148 minutes later? (a) 12:35 (b) 11:25 (c) 11:35 (d) 11:45
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 68 minutes? =
  38. 38.A clock shows 6:11. What time will it show 107 minutes later? (a) 8:08 (b) 7:58 (c) 7:48 (d) 8:58
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =

Answer key

  1. 54
  2. 35.5
  3. 36
  4. 5:28
  5. 100
  6. 9:38
  7. 46
  8. 108.5
  9. 216
  10. 16.5
  11. 246
  12. 156
  13. 152.5
  14. 51
  15. 282
  16. 240
  17. 63
  18. 198
  19. 7.5
  20. 12:43
  21. 97
  22. 3:50
  23. 10:28
  24. 20
  25. 108
  26. 36
  27. 176.5
  28. 8:17
  29. 135.5
  30. 11:34
  31. 1:05
  32. 42.5
  33. 11:59
  34. 11:35
  35. 56.5
  36. 133
  37. 34
  38. 7:58
  39. 141
  40. 80.5

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