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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 198 · 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 11:37? (in degrees) =
  2. 2.A clock shows 8:45. What time will it show 14 minutes later? (a) 9:09 (b) 8:59 (c) 9:59 (d) 8:49
  3. 3.How many degrees does the hour hand of a clock turn in 67 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 25 minutes? =
  6. 6.A clock shows 9:10. What time will it show 29 minutes later? (a) 9:49 (b) 9:29 (c) 10:39 (d) 9:39
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 59 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  10. 10.A clock shows 3:27. What time will it show 62 minutes later? (a) 4:39 (b) 5:29 (c) 4:29 (d) 4:19
  11. 11.How many degrees does the hour hand of a clock turn in 91 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 3 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 51 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  16. 16.A clock shows 11:52. What time will it show 142 minutes later? (a) 3:14 (b) 2:24 (c) 2:04 (d) 2:14
  17. 17.How many degrees does the minute hand of a clock turn in 8 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 127 minutes? =
  19. 19.A clock shows 7:04. What time will it show 36 minutes later? (a) 7:30 (b) 7:50 (c) 7:40 (d) 8:40
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  21. 21.A clock shows 9:04. What time will it show 51 minutes later? (a) 9:45 (b) 9:55 (c) 10:05 (d) 10:55
  22. 22.A clock shows 2:43. What time will it show 125 minutes later? (a) 4:58 (b) 4:38 (c) 4:48 (d) 5:48
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  25. 25.A clock shows 9:06. What time will it show 78 minutes later? (a) 10:14 (b) 11:24 (c) 10:24 (d) 10:34
  26. 26.A clock shows 3:33. What time will it show 167 minutes later? (a) 7:20 (b) 6:30 (c) 6:20 (d) 6:10
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 82 minutes? =
  29. 29.A clock shows 2:04. What time will it show 78 minutes later? (a) 4:22 (b) 3:12 (c) 3:32 (d) 3:22
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  32. 32.A clock shows 2:30. What time will it show 165 minutes later? (a) 5:25 (b) 5:15 (c) 5:05 (d) 6:15
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  34. 34.A clock shows 8:51. What time will it show 25 minutes later? (a) 9:16 (b) 9:06 (c) 9:26 (d) 10:16
  35. 35.A clock shows 1:24. What time will it show 161 minutes later? (a) 4:05 (b) 5:05 (c) 4:15 (d) 3:55
  36. 36.A clock shows 12:11. What time will it show 145 minutes later? (a) 2:26 (b) 2:36 (c) 2:46 (d) 3:36
  37. 37.A clock shows 3:45. What time will it show 132 minutes later? (a) 5:57 (b) 6:57 (c) 5:47 (d) 6:07
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 50 minutes? =
  40. 40.A clock shows 9:13. What time will it show 46 minutes later? (a) 10:59 (b) 9:49 (c) 9:59 (d) 10:09

Answer key

  1. 126.5
  2. 8:59
  3. 33.5
  4. 135
  5. 12.5
  6. 9:39
  7. 45
  8. 354
  9. 122.5
  10. 4:29
  11. 45.5
  12. 18
  13. 306
  14. 139
  15. 114.5
  16. 2:14
  17. 48
  18. 63.5
  19. 7:40
  20. 76
  21. 9:55
  22. 4:48
  23. 22
  24. 41
  25. 10:24
  26. 6:20
  27. 12.5
  28. 41
  29. 3:22
  30. 72.5
  31. 127
  32. 5:15
  33. 87.5
  34. 9:16
  35. 4:05
  36. 2:36
  37. 5:57
  38. 149.5
  39. 300
  40. 9:59

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