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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 694 · 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.How many degrees does the minute hand of a clock turn in 3 minutes? =
  2. 2.A clock shows 11:00. What time will it show 85 minutes later? (a) 12:35 (b) 1:25 (c) 12:15 (d) 12:25
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  6. 6.A clock shows 4:36. What time will it show 98 minutes later? (a) 6:24 (b) 6:04 (c) 7:14 (d) 6:14
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 81 minutes? =
  9. 9.A clock shows 10:12. What time will it show 32 minutes later? (a) 11:44 (b) 10:44 (c) 10:54 (d) 10:34
  10. 10.How many degrees does the minute hand of a clock turn in 15 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 155 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 40 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 22 minutes? =
  15. 15.A clock shows 3:56. What time will it show 159 minutes later? (a) 7:35 (b) 6:45 (c) 6:35 (d) 6:25
  16. 16.A clock shows 4:26. What time will it show 69 minutes later? (a) 5:35 (b) 6:35 (c) 5:45 (d) 5:25
  17. 17.How many degrees does the minute hand of a clock turn in 13 minutes? =
  18. 18.A clock shows 1:24. What time will it show 160 minutes later? (a) 5:04 (b) 4:14 (c) 4:04 (d) 3:54
  19. 19.How many degrees does the hour hand of a clock turn in 67 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 41 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 48 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 21 minutes? =
  23. 23.A clock shows 4:58. What time will it show 144 minutes later? (a) 7:22 (b) 7:12 (c) 7:32 (d) 8:22
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 139 minutes? =
  28. 28.A clock shows 1:10. What time will it show 21 minutes later? (a) 1:31 (b) 2:31 (c) 1:41 (d) 1:21
  29. 29.How many degrees does the minute hand of a clock turn in 18 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 11 minutes? =
  31. 31.A clock shows 7:52. What time will it show 17 minutes later? (a) 9:09 (b) 7:59 (c) 8:19 (d) 8:09
  32. 32.A clock shows 12:55. What time will it show 79 minutes later? (a) 2:04 (b) 3:14 (c) 2:24 (d) 2:14
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 4 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  39. 39.A clock shows 4:26. What time will it show 166 minutes later? (a) 7:22 (b) 7:12 (c) 7:02 (d) 8:12
  40. 40.How many degrees does the hour hand of a clock turn in 143 minutes? =

Answer key

  1. 18
  2. 12:25
  3. 60.5
  4. 156
  5. 9.5
  6. 6:14
  7. 70
  8. 40.5
  9. 10:44
  10. 90
  11. 160.5
  12. 77.5
  13. 20
  14. 132
  15. 6:35
  16. 5:35
  17. 78
  18. 4:04
  19. 33.5
  20. 246
  21. 24
  22. 10.5
  23. 7:22
  24. 20
  25. 127.5
  26. 33.5
  27. 69.5
  28. 1:31
  29. 108
  30. 66
  31. 8:09
  32. 2:14
  33. 40.5
  34. 24
  35. 148
  36. 10.5
  37. 43
  38. 117
  39. 7:12
  40. 71.5

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