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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 374 · 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 minute hand of a clock turn in 46 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 7 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  5. 5.A clock shows 3:02. What time will it show 123 minutes later? (a) 6:05 (b) 5:05 (c) 5:15 (d) 4:55
  6. 6.How many degrees does the hour hand of a clock turn in 17 minutes? =
  7. 7.A clock shows 7:31. What time will it show 112 minutes later? (a) 9:23 (b) 9:33 (c) 9:13 (d) 10:23
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  9. 9.A clock shows 2:08. What time will it show 156 minutes later? (a) 5:44 (b) 4:44 (c) 4:54 (d) 4:34
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 10 minutes? =
  14. 14.A clock shows 3:26. What time will it show 159 minutes later? (a) 7:05 (b) 6:15 (c) 6:05 (d) 5:55
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
  17. 17.A clock shows 12:06. What time will it show 89 minutes later? (a) 1:35 (b) 1:45 (c) 1:25 (d) 2:35
  18. 18.How many degrees does the minute hand of a clock turn in 24 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  20. 20.A clock shows 6:31. What time will it show 79 minutes later? (a) 8:50 (b) 7:50 (c) 7:40 (d) 8:00
  21. 21.A clock shows 4:03. What time will it show 41 minutes later? (a) 4:54 (b) 4:44 (c) 5:44 (d) 4:34
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 34 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 50 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 89 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 52 minutes? =
  29. 29.A clock shows 3:49. What time will it show 110 minutes later? (a) 5:39 (b) 5:29 (c) 5:49 (d) 6:39
  30. 30.A clock shows 7:31. What time will it show 55 minutes later? (a) 9:26 (b) 8:26 (c) 8:36 (d) 8:16
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  32. 32.A clock shows 4:42. What time will it show 76 minutes later? (a) 5:48 (b) 5:58 (c) 6:08 (d) 6:58
  33. 33.A clock shows 1:26. What time will it show 87 minutes later? (a) 3:53 (b) 3:03 (c) 2:53 (d) 2:43
  34. 34.How many degrees does the hour hand of a clock turn in 163 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 2 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  38. 38.A clock shows 7:40. What time will it show 167 minutes later? (a) 11:27 (b) 10:37 (c) 10:27 (d) 10:17
  39. 39.How many degrees does the hour hand of a clock turn in 51 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =

Answer key

  1. 276
  2. 42
  3. 151.5
  4. 47.5
  5. 5:05
  6. 8.5
  7. 9:23
  8. 136
  9. 4:44
  10. 140.5
  11. 34
  12. 128.5
  13. 60
  14. 6:05
  15. 3
  16. 12
  17. 1:35
  18. 144
  19. 62
  20. 7:50
  21. 4:44
  22. 178.5
  23. 11.5
  24. 204
  25. 68
  26. 300
  27. 44.5
  28. 312
  29. 5:39
  30. 8:26
  31. 70
  32. 5:58
  33. 2:53
  34. 81.5
  35. 166.5
  36. 12
  37. 165.5
  38. 10:27
  39. 25.5
  40. 118.5

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