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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 451 · 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 6:19? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 45 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 56 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
  7. 7.A clock shows 2:43. What time will it show 41 minutes later? (a) 3:24 (b) 4:24 (c) 3:34 (d) 3:14
  8. 8.How many degrees does the minute hand of a clock turn in 8 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 13 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
  12. 12.A clock shows 3:51. What time will it show 127 minutes later? (a) 5:48 (b) 5:58 (c) 6:58 (d) 6:08
  13. 13.How many degrees does the minute hand of a clock turn in 10 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 102 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 30 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 16 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  19. 19.A clock shows 10:57. What time will it show 34 minutes later? (a) 11:41 (b) 11:21 (c) 12:31 (d) 11:31
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  22. 22.A clock shows 10:18. What time will it show 103 minutes later? (a) 12:11 (b) 11:51 (c) 12:01 (d) 1:01
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  24. 24.A clock shows 12:57. What time will it show 122 minutes later? (a) 3:09 (b) 2:49 (c) 2:59 (d) 3:59
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 127 minutes? =
  31. 31.A clock shows 11:06. What time will it show 18 minutes later? (a) 11:34 (b) 11:24 (c) 11:14 (d) 12:24
  32. 32.How many degrees does the hour hand of a clock turn in 20 minutes? =
  33. 33.A clock shows 9:54. What time will it show 138 minutes later? (a) 12:02 (b) 12:22 (c) 1:12 (d) 12:12
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  36. 36.A clock shows 3:15. What time will it show 130 minutes later? (a) 6:25 (b) 5:15 (c) 5:25 (d) 5:35
  37. 37.A clock shows 8:42. What time will it show 77 minutes later? (a) 9:49 (b) 9:59 (c) 10:59 (d) 10:09
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  39. 39.A clock shows 6:18. What time will it show 78 minutes later? (a) 7:36 (b) 7:46 (c) 8:36 (d) 7:26
  40. 40.A clock shows 10:20. What time will it show 94 minutes later? (a) 11:44 (b) 11:54 (c) 12:54 (d) 12:04

Answer key

  1. 75.5
  2. 119.5
  3. 270
  4. 46.5
  5. 336
  6. 115.5
  7. 3:24
  8. 48
  9. 65
  10. 6.5
  11. 145.5
  12. 5:58
  13. 60
  14. 109
  15. 51
  16. 180
  17. 96
  18. 75.5
  19. 11:31
  20. 145
  21. 92
  22. 12:01
  23. 137.5
  24. 2:59
  25. 50.5
  26. 43.5
  27. 95.5
  28. 30
  29. 80
  30. 63.5
  31. 11:24
  32. 10
  33. 12:12
  34. 39.5
  35. 178
  36. 5:25
  37. 9:59
  38. 35
  39. 7:36
  40. 11:54

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