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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 427 · 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 12:38? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 11 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 4 minutes? =
  5. 5.A clock shows 10:21. What time will it show 61 minutes later? (a) 11:32 (b) 11:12 (c) 11:22 (d) 12:22
  6. 6.A clock shows 2:15. What time will it show 47 minutes later? (a) 4:02 (b) 2:52 (c) 3:12 (d) 3:02
  7. 7.A clock shows 3:33. What time will it show 91 minutes later? (a) 5:14 (b) 4:54 (c) 6:04 (d) 5:04
  8. 8.How many degrees does the hour hand of a clock turn in 84 minutes? =
  9. 9.A clock shows 11:54. What time will it show 163 minutes later? (a) 2:47 (b) 2:37 (c) 2:27 (d) 3:37
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 10 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  14. 14.A clock shows 4:06. What time will it show 131 minutes later? (a) 6:27 (b) 6:17 (c) 6:07 (d) 7:17
  15. 15.How many degrees does the minute hand of a clock turn in 58 minutes? =
  16. 16.A clock shows 12:22. What time will it show 47 minutes later? (a) 2:09 (b) 1:19 (c) 12:59 (d) 1:09
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  22. 22.A clock shows 1:17. What time will it show 30 minutes later? (a) 1:57 (b) 1:37 (c) 1:47 (d) 2:47
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 123 minutes? =
  26. 26.A clock shows 1:31. What time will it show 70 minutes later? (a) 2:41 (b) 2:31 (c) 2:51 (d) 3:41
  27. 27.How many degrees does the hour hand of a clock turn in 50 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 165 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  30. 30.A clock shows 12:34. What time will it show 137 minutes later? (a) 3:51 (b) 2:51 (c) 2:41 (d) 3:01
  31. 31.A clock shows 8:14. What time will it show 73 minutes later? (a) 9:17 (b) 9:37 (c) 9:27 (d) 10:27
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  33. 33.A clock shows 7:55. What time will it show 160 minutes later? (a) 10:35 (b) 10:45 (c) 11:35 (d) 10:25
  34. 34.How many degrees does the minute hand of a clock turn in 23 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  36. 36.A clock shows 9:26. What time will it show 121 minutes later? (a) 11:27 (b) 12:27 (c) 11:17 (d) 11:37
  37. 37.A clock shows 10:36. What time will it show 130 minutes later? (a) 1:46 (b) 12:36 (c) 12:56 (d) 12:46
  38. 38.A clock shows 2:00. What time will it show 34 minutes later? (a) 2:24 (b) 2:44 (c) 3:34 (d) 2:34
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =

Answer key

  1. 151
  2. 145.5
  3. 66
  4. 24
  5. 11:22
  6. 3:02
  7. 5:04
  8. 42
  9. 2:37
  10. 65
  11. 16.5
  12. 60
  13. 80
  14. 6:17
  15. 348
  16. 1:09
  17. 108
  18. 11.5
  19. 2
  20. 9.5
  21. 128.5
  22. 1:47
  23. 46.5
  24. 14
  25. 61.5
  26. 2:41
  27. 25
  28. 82.5
  29. 104.5
  30. 2:51
  31. 9:27
  32. 122.5
  33. 10:35
  34. 138
  35. 31.5
  36. 11:27
  37. 12:46
  38. 2:34
  39. 131.5
  40. 67

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