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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 449 · 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 9:13. What time will it show 118 minutes later? (a) 12:11 (b) 11:21 (c) 11:11 (d) 11:01
  2. 2.A clock shows 3:21. What time will it show 117 minutes later? (a) 5:18 (b) 5:28 (c) 6:18 (d) 5:08
  3. 3.How many degrees does the hour hand of a clock turn in 70 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 69 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 23 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 5 minutes? =
  9. 9.A clock shows 10:42. What time will it show 11 minutes later? (a) 11:03 (b) 11:53 (c) 10:43 (d) 10:53
  10. 10.A clock shows 8:52. What time will it show 69 minutes later? (a) 10:11 (b) 9:51 (c) 11:01 (d) 10:01
  11. 11.A clock shows 10:01. What time will it show 101 minutes later? (a) 12:42 (b) 11:32 (c) 11:42 (d) 11:52
  12. 12.How many degrees does the hour hand of a clock turn in 95 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  14. 14.A clock shows 10:25. What time will it show 165 minutes later? (a) 2:10 (b) 1:00 (c) 1:10 (d) 1:20
  15. 15.A clock shows 10:13. What time will it show 112 minutes later? (a) 1:05 (b) 12:05 (c) 12:15 (d) 11:55
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
  17. 17.A clock shows 12:55. What time will it show 106 minutes later? (a) 3:41 (b) 2:31 (c) 2:51 (d) 2:41
  18. 18.A clock shows 2:09. What time will it show 96 minutes later? (a) 4:45 (b) 3:55 (c) 3:35 (d) 3:45
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 19 minutes? =
  22. 22.A clock shows 5:44. What time will it show 167 minutes later? (a) 9:31 (b) 8:21 (c) 8:31 (d) 8:41
  23. 23.How many degrees does the hour hand of a clock turn in 11 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  26. 26.A clock shows 11:18. What time will it show 62 minutes later? (a) 1:20 (b) 12:10 (c) 12:30 (d) 12:20
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 41 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  32. 32.A clock shows 1:15. What time will it show 38 minutes later? (a) 1:43 (b) 2:53 (c) 2:03 (d) 1:53
  33. 33.A clock shows 7:46. What time will it show 157 minutes later? (a) 10:33 (b) 11:23 (c) 10:13 (d) 10:23
  34. 34.A clock shows 9:44. What time will it show 99 minutes later? (a) 11:33 (b) 11:13 (c) 12:23 (d) 11:23
  35. 35.How many degrees does the minute hand of a clock turn in 31 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 15 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 96 minutes? =
  38. 38.A clock shows 3:01. What time will it show 144 minutes later? (a) 6:25 (b) 5:25 (c) 5:35 (d) 5:15
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =

Answer key

  1. 11:11
  2. 5:18
  3. 35
  4. 34.5
  5. 112.5
  6. 58
  7. 138
  8. 30
  9. 10:53
  10. 10:01
  11. 11:42
  12. 47.5
  13. 1.5
  14. 1:10
  15. 12:05
  16. 161
  17. 2:41
  18. 3:45
  19. 110.5
  20. 50
  21. 114
  22. 8:31
  23. 5.5
  24. 11.5
  25. 36.5
  26. 12:20
  27. 89.5
  28. 20.5
  29. 92
  30. 59.5
  31. 41.5
  32. 1:53
  33. 10:23
  34. 11:23
  35. 186
  36. 90
  37. 48
  38. 5:25
  39. 2
  40. 34.5

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