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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 221 · 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 8:00? (in degrees) =
  2. 2.A clock shows 9:01. What time will it show 137 minutes later? (a) 12:18 (b) 11:28 (c) 11:08 (d) 11:18
  3. 3.A clock shows 6:29. What time will it show 157 minutes later? (a) 9:16 (b) 10:06 (c) 9:06 (d) 8:56
  4. 4.A clock shows 9:16. What time will it show 79 minutes later? (a) 11:35 (b) 10:35 (c) 10:25 (d) 10:45
  5. 5.How many degrees does the hour hand of a clock turn in 88 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 17 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  8. 8.A clock shows 6:56. What time will it show 31 minutes later? (a) 7:27 (b) 7:37 (c) 7:17 (d) 8:27
  9. 9.How many degrees does the minute hand of a clock turn in 8 minutes? =
  10. 10.A clock shows 4:31. What time will it show 104 minutes later? (a) 6:25 (b) 6:05 (c) 7:15 (d) 6:15
  11. 11.How many degrees does the minute hand of a clock turn in 26 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  14. 14.A clock shows 10:20. What time will it show 69 minutes later? (a) 11:19 (b) 12:29 (c) 11:29 (d) 11:39
  15. 15.How many degrees does the hour hand of a clock turn in 146 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 6 minutes? =
  18. 18.A clock shows 1:23. What time will it show 126 minutes later? (a) 4:29 (b) 3:39 (c) 3:19 (d) 3:29
  19. 19.A clock shows 5:03. What time will it show 104 minutes later? (a) 6:37 (b) 6:57 (c) 6:47 (d) 7:47
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 70 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 82 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 133 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 130 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  31. 31.A clock shows 4:01. What time will it show 49 minutes later? (a) 5:00 (b) 5:50 (c) 4:50 (d) 4:40
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 2 minutes? =
  34. 34.A clock shows 4:15. What time will it show 74 minutes later? (a) 6:29 (b) 5:29 (c) 5:19 (d) 5:39
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:48? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  38. 38.A clock shows 11:12. What time will it show 34 minutes later? (a) 11:56 (b) 11:36 (c) 12:46 (d) 11:46
  39. 39.A clock shows 6:22. What time will it show 22 minutes later? (a) 7:44 (b) 6:34 (c) 6:54 (d) 6:44
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =

Answer key

  1. 120
  2. 11:18
  3. 9:06
  4. 10:35
  5. 44
  6. 8.5
  7. 58
  8. 7:27
  9. 48
  10. 6:15
  11. 156
  12. 167.5
  13. 43.5
  14. 11:29
  15. 73
  16. 21.5
  17. 36
  18. 3:29
  19. 6:47
  20. 53
  21. 144.5
  22. 26.5
  23. 35
  24. 41
  25. 66.5
  26. 151.5
  27. 160
  28. 35
  29. 65
  30. 171.5
  31. 4:50
  32. 95.5
  33. 12
  34. 5:29
  35. 112.5
  36. 96
  37. 76.5
  38. 11:46
  39. 6:44
  40. 159.5

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