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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 991 · 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 10:47. What time will it show 144 minutes later? (a) 1:11 (b) 2:11 (c) 1:21 (d) 1:01
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 120 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 16 minutes? =
  6. 6.A clock shows 12:14. What time will it show 87 minutes later? (a) 1:51 (b) 2:41 (c) 1:41 (d) 1:31
  7. 7.A clock shows 9:14. What time will it show 101 minutes later? (a) 11:05 (b) 11:55 (c) 10:55 (d) 10:45
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  9. 9.A clock shows 12:18. What time will it show 127 minutes later? (a) 3:25 (b) 2:35 (c) 2:25 (d) 2:15
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 36 minutes? =
  12. 12.A clock shows 5:10. What time will it show 109 minutes later? (a) 6:49 (b) 6:59 (c) 7:59 (d) 7:09
  13. 13.How many degrees does the hour hand of a clock turn in 170 minutes? =
  14. 14.A clock shows 3:46. What time will it show 57 minutes later? (a) 5:43 (b) 4:43 (c) 4:33 (d) 4:53
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 127 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  18. 18.A clock shows 8:54. What time will it show 86 minutes later? (a) 10:10 (b) 10:30 (c) 11:20 (d) 10:20
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 26 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 29 minutes? =
  23. 23.A clock shows 10:29. What time will it show 45 minutes later? (a) 11:14 (b) 11:04 (c) 11:24 (d) 12:14
  24. 24.How many degrees does the minute hand of a clock turn in 13 minutes? =
  25. 25.A clock shows 1:01. What time will it show 57 minutes later? (a) 2:08 (b) 2:58 (c) 1:48 (d) 1:58
  26. 26.How many degrees does the minute hand of a clock turn in 59 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  30. 30.A clock shows 2:07. What time will it show 65 minutes later? (a) 4:12 (b) 3:12 (c) 3:02 (d) 3:22
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 89 minutes? =
  34. 34.A clock shows 12:56. What time will it show 106 minutes later? (a) 3:42 (b) 2:52 (c) 2:32 (d) 2:42
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 163 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 67 minutes? =
  40. 40.A clock shows 2:15. What time will it show 99 minutes later? (a) 4:04 (b) 4:54 (c) 3:54 (d) 3:44

Answer key

  1. 1:11
  2. 36.5
  3. 60
  4. 33
  5. 96
  6. 1:41
  7. 10:55
  8. 145
  9. 2:25
  10. 132.5
  11. 216
  12. 6:59
  13. 85
  14. 4:43
  15. 85.5
  16. 63.5
  17. 178.5
  18. 10:20
  19. 151.5
  20. 40
  21. 156
  22. 174
  23. 11:14
  24. 78
  25. 1:58
  26. 354
  27. 152.5
  28. 161.5
  29. 86
  30. 3:12
  31. 157.5
  32. 48
  33. 44.5
  34. 2:42
  35. 31
  36. 81.5
  37. 146
  38. 106
  39. 33.5
  40. 3:54

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