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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 639 · 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 3:02. What time will it show 157 minutes later? (a) 5:29 (b) 5:49 (c) 6:39 (d) 5:39
  2. 2.How many degrees does the minute hand of a clock turn in 50 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 42 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 38 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  7. 7.A clock shows 4:09. What time will it show 168 minutes later? (a) 6:57 (b) 6:47 (c) 7:07 (d) 7:57
  8. 8.How many degrees does the hour hand of a clock turn in 116 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  10. 10.A clock shows 5:50. What time will it show 153 minutes later? (a) 8:13 (b) 9:23 (c) 8:33 (d) 8:23
  11. 11.How many degrees does the hour hand of a clock turn in 21 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  13. 13.A clock shows 7:46. What time will it show 12 minutes later? (a) 7:58 (b) 8:08 (c) 7:48 (d) 8:58
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  15. 15.A clock shows 6:56. What time will it show 90 minutes later? (a) 8:16 (b) 8:26 (c) 8:36 (d) 9:26
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  17. 17.A clock shows 5:45. What time will it show 78 minutes later? (a) 6:53 (b) 7:13 (c) 7:03 (d) 8:03
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 30 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 12 minutes? =
  25. 25.A clock shows 11:08. What time will it show 82 minutes later? (a) 12:30 (b) 1:30 (c) 12:40 (d) 12:20
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  27. 27.A clock shows 11:11. What time will it show 114 minutes later? (a) 12:55 (b) 1:15 (c) 2:05 (d) 1:05
  28. 28.A clock shows 2:55. What time will it show 114 minutes later? (a) 4:39 (b) 5:49 (c) 4:49 (d) 4:59
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  31. 31.A clock shows 6:01. What time will it show 29 minutes later? (a) 7:30 (b) 6:20 (c) 6:30 (d) 6:40
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 83 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  36. 36.A clock shows 9:43. What time will it show 163 minutes later? (a) 1:26 (b) 12:16 (c) 12:26 (d) 12:36
  37. 37.How many degrees does the minute hand of a clock turn in 45 minutes? =
  38. 38.A clock shows 5:31. What time will it show 39 minutes later? (a) 6:10 (b) 6:00 (c) 7:10 (d) 6:20
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 35 minutes? =

Answer key

  1. 5:39
  2. 300
  3. 252
  4. 228
  5. 38
  6. 167
  7. 6:57
  8. 58
  9. 10.5
  10. 8:23
  11. 10.5
  12. 36
  13. 7:58
  14. 36.5
  15. 8:26
  16. 121.5
  17. 7:03
  18. 109.5
  19. 180
  20. 25
  21. 128.5
  22. 15
  23. 121
  24. 6
  25. 12:30
  26. 67.5
  27. 1:05
  28. 4:49
  29. 57
  30. 100
  31. 6:30
  32. 124.5
  33. 41.5
  34. 95
  35. 105.5
  36. 12:26
  37. 270
  38. 6:10
  39. 60
  40. 210

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