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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 115 · 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 4:21. What time will it show 56 minutes later? (a) 5:17 (b) 5:27 (c) 5:07 (d) 6:17
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  4. 4.A clock shows 9:17. What time will it show 129 minutes later? (a) 11:16 (b) 11:36 (c) 12:26 (d) 11:26
  5. 5.A clock shows 4:08. What time will it show 151 minutes later? (a) 7:39 (b) 6:29 (c) 6:49 (d) 6:39
  6. 6.How many degrees does the hour hand of a clock turn in 96 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 46 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 132 minutes? =
  9. 9.A clock shows 1:25. What time will it show 15 minutes later? (a) 1:50 (b) 1:40 (c) 2:40 (d) 1:30
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  13. 13.A clock shows 4:35. What time will it show 55 minutes later? (a) 6:30 (b) 5:40 (c) 5:30 (d) 5:20
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 86 minutes? =
  16. 16.A clock shows 1:33. What time will it show 86 minutes later? (a) 2:59 (b) 2:49 (c) 3:09 (d) 3:59
  17. 17.A clock shows 9:10. What time will it show 114 minutes later? (a) 12:04 (b) 11:04 (c) 10:54 (d) 11:14
  18. 18.How many degrees does the minute hand of a clock turn in 40 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  22. 22.A clock shows 11:21. What time will it show 68 minutes later? (a) 12:39 (b) 12:19 (c) 12:29 (d) 1:29
  23. 23.How many degrees does the minute hand of a clock turn in 14 minutes? =
  24. 24.A clock shows 2:53. What time will it show 113 minutes later? (a) 4:36 (b) 5:46 (c) 4:46 (d) 4:56
  25. 25.How many degrees does the minute hand of a clock turn in 7 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  28. 28.A clock shows 5:40. What time will it show 63 minutes later? (a) 7:43 (b) 6:43 (c) 6:53 (d) 6:33
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 42 minutes? =
  31. 31.A clock shows 9:13. What time will it show 104 minutes later? (a) 10:57 (b) 11:07 (c) 11:57 (d) 10:47
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 6 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 151 minutes? =
  35. 35.A clock shows 9:10. What time will it show 54 minutes later? (a) 11:04 (b) 10:04 (c) 9:54 (d) 10:14
  36. 36.A clock shows 11:44. What time will it show 29 minutes later? (a) 1:13 (b) 12:13 (c) 12:03 (d) 12:23
  37. 37.How many degrees does the minute hand of a clock turn in 9 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 45 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 58 minutes? =

Answer key

  1. 5:17
  2. 32
  3. 120
  4. 11:26
  5. 6:39
  6. 48
  7. 23
  8. 66
  9. 1:40
  10. 31
  11. 177.5
  12. 153.5
  13. 5:30
  14. 18.5
  15. 43
  16. 2:59
  17. 11:04
  18. 240
  19. 175.5
  20. 51.5
  21. 56.5
  22. 12:29
  23. 84
  24. 4:46
  25. 42
  26. 136
  27. 100
  28. 6:43
  29. 91.5
  30. 252
  31. 10:57
  32. 44.5
  33. 36
  34. 75.5
  35. 10:04
  36. 12:13
  37. 54
  38. 22.5
  39. 5.5
  40. 29

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