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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 613 · 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 8:55. What time will it show 78 minutes later? (a) 10:03 (b) 10:13 (c) 10:23 (d) 11:13
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  3. 3.A clock shows 5:06. What time will it show 147 minutes later? (a) 8:33 (b) 7:43 (c) 7:23 (d) 7:33
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  5. 5.A clock shows 1:12. What time will it show 169 minutes later? (a) 4:01 (b) 5:01 (c) 4:11 (d) 3:51
  6. 6.A clock shows 1:49. What time will it show 120 minutes later? (a) 3:59 (b) 3:39 (c) 4:49 (d) 3:49
  7. 7.A clock shows 2:27. What time will it show 106 minutes later? (a) 4:03 (b) 5:13 (c) 4:13 (d) 4:23
  8. 8.How many degrees does the minute hand of a clock turn in 18 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
  10. 10.A clock shows 3:57. What time will it show 136 minutes later? (a) 6:13 (b) 6:03 (c) 7:13 (d) 6:23
  11. 11.How many degrees does the minute hand of a clock turn in 17 minutes? =
  12. 12.A clock shows 6:02. What time will it show 134 minutes later? (a) 9:16 (b) 8:16 (c) 8:06 (d) 8:26
  13. 13.A clock shows 1:02. What time will it show 64 minutes later? (a) 2:06 (b) 3:06 (c) 1:56 (d) 2:16
  14. 14.A clock shows 2:44. What time will it show 80 minutes later? (a) 3:54 (b) 4:04 (c) 5:04 (d) 4:14
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 47 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  18. 18.A clock shows 3:50. What time will it show 61 minutes later? (a) 4:41 (b) 5:51 (c) 5:01 (d) 4:51
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  20. 20.A clock shows 7:33. What time will it show 66 minutes later? (a) 8:49 (b) 9:39 (c) 8:29 (d) 8:39
  21. 21.A clock shows 3:17. What time will it show 51 minutes later? (a) 5:08 (b) 3:58 (c) 4:18 (d) 4:08
  22. 22.How many degrees does the hour hand of a clock turn in 106 minutes? =
  23. 23.A clock shows 10:24. What time will it show 42 minutes later? (a) 10:56 (b) 11:06 (c) 11:16 (d) 12:06
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 33 minutes? =
  26. 26.A clock shows 5:52. What time will it show 49 minutes later? (a) 6:41 (b) 6:31 (c) 7:41 (d) 6:51
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  28. 28.A clock shows 11:27. What time will it show 21 minutes later? (a) 11:38 (b) 12:48 (c) 11:58 (d) 11:48
  29. 29.A clock shows 3:13. What time will it show 60 minutes later? (a) 4:13 (b) 4:23 (c) 5:13 (d) 4:03
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 69 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 96 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  35. 35.A clock shows 3:42. What time will it show 122 minutes later? (a) 5:54 (b) 5:34 (c) 5:44 (d) 6:44
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 15 minutes? =
  38. 38.A clock shows 8:39. What time will it show 161 minutes later? (a) 12:20 (b) 11:20 (c) 11:30 (d) 11:10
  39. 39.A clock shows 5:35. What time will it show 110 minutes later? (a) 7:15 (b) 8:25 (c) 7:25 (d) 7:35
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =

Answer key

  1. 10:13
  2. 80
  3. 7:33
  4. 10
  5. 4:01
  6. 3:49
  7. 4:13
  8. 108
  9. 135
  10. 6:13
  11. 102
  12. 8:16
  13. 2:06
  14. 4:04
  15. 125.5
  16. 282
  17. 115
  18. 4:51
  19. 171.5
  20. 8:39
  21. 4:08
  22. 53
  23. 11:06
  24. 53.5
  25. 198
  26. 6:41
  27. 179.5
  28. 11:48
  29. 4:13
  30. 86.5
  31. 34.5
  32. 88
  33. 48
  34. 75
  35. 5:44
  36. 15.5
  37. 90
  38. 11:20
  39. 7:25
  40. 32.5

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