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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 827 · 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 6:10? (in degrees) =
  2. 2.A clock shows 9:37. What time will it show 81 minutes later? (a) 11:08 (b) 10:58 (c) 10:48 (d) 11:58
  3. 3.How many degrees does the hour hand of a clock turn in 43 minutes? =
  4. 4.A clock shows 1:34. What time will it show 102 minutes later? (a) 3:16 (b) 4:16 (c) 3:06 (d) 3:26
  5. 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
  6. 6.A clock shows 3:45. What time will it show 128 minutes later? (a) 6:53 (b) 5:53 (c) 6:03 (d) 5:43
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  8. 8.A clock shows 3:04. What time will it show 24 minutes later? (a) 3:38 (b) 3:28 (c) 3:18 (d) 4:28
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 57 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 120 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 50 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 167 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 52 minutes? =
  17. 17.A clock shows 8:40. What time will it show 78 minutes later? (a) 10:58 (b) 9:48 (c) 9:58 (d) 10:08
  18. 18.A clock shows 12:17. What time will it show 99 minutes later? (a) 1:56 (b) 1:46 (c) 2:56 (d) 2:06
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 13 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 163 minutes? =
  22. 22.A clock shows 3:17. What time will it show 154 minutes later? (a) 5:41 (b) 5:51 (c) 6:01 (d) 6:51
  23. 23.A clock shows 7:04. What time will it show 38 minutes later? (a) 7:42 (b) 7:32 (c) 8:42 (d) 7:52
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  26. 26.A clock shows 1:56. What time will it show 164 minutes later? (a) 5:40 (b) 4:50 (c) 4:40 (d) 4:30
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  28. 28.A clock shows 11:29. What time will it show 106 minutes later? (a) 1:25 (b) 2:15 (c) 1:05 (d) 1:15
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  30. 30.A clock shows 2:54. What time will it show 157 minutes later? (a) 5:41 (b) 5:21 (c) 5:31 (d) 6:31
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 10 minutes? =
  33. 33.A clock shows 8:46. What time will it show 162 minutes later? (a) 11:18 (b) 12:28 (c) 11:28 (d) 11:38
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  36. 36.A clock shows 5:45. What time will it show 148 minutes later? (a) 8:23 (b) 8:03 (c) 8:13 (d) 9:13
  37. 37.A clock shows 10:11. What time will it show 47 minutes later? (a) 10:58 (b) 10:48 (c) 11:58 (d) 11:08
  38. 38.A clock shows 7:51. What time will it show 151 minutes later? (a) 10:12 (b) 11:22 (c) 10:32 (d) 10:22
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =

Answer key

  1. 125
  2. 10:58
  3. 21.5
  4. 3:16
  5. 30
  6. 5:53
  7. 145
  8. 3:28
  9. 110.5
  10. 28.5
  11. 130.5
  12. 60
  13. 142
  14. 300
  15. 83.5
  16. 26
  17. 9:58
  18. 1:56
  19. 171.5
  20. 78
  21. 81.5
  22. 5:51
  23. 7:42
  24. 139
  25. 115
  26. 4:40
  27. 95
  28. 1:15
  29. 147.5
  30. 5:31
  31. 109.5
  32. 60
  33. 11:28
  34. 65
  35. 63
  36. 8:13
  37. 10:58
  38. 10:22
  39. 89.5
  40. 107

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