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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 732 · 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 hour hand of a clock turn in 89 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 41 minutes? =
  4. 4.A clock shows 3:40. What time will it show 125 minutes later? (a) 6:45 (b) 5:35 (c) 5:45 (d) 5:55
  5. 5.A clock shows 10:14. What time will it show 41 minutes later? (a) 10:55 (b) 10:45 (c) 11:05 (d) 11:55
  6. 6.A clock shows 2:25. What time will it show 110 minutes later? (a) 5:15 (b) 4:25 (c) 4:15 (d) 4:05
  7. 7.A clock shows 10:02. What time will it show 65 minutes later? (a) 12:07 (b) 11:17 (c) 10:57 (d) 11:07
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  10. 10.A clock shows 8:37. What time will it show 116 minutes later? (a) 10:33 (b) 10:43 (c) 11:33 (d) 10:23
  11. 11.How many degrees does the minute hand of a clock turn in 18 minutes? =
  12. 12.A clock shows 2:59. What time will it show 67 minutes later? (a) 4:06 (b) 5:06 (c) 4:16 (d) 3:56
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  14. 14.A clock shows 12:23. What time will it show 26 minutes later? (a) 1:49 (b) 12:39 (c) 12:49 (d) 12:59
  15. 15.A clock shows 12:37. What time will it show 14 minutes later? (a) 12:41 (b) 1:01 (c) 1:51 (d) 12:51
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  22. 22.A clock shows 2:35. What time will it show 30 minutes later? (a) 4:05 (b) 3:05 (c) 2:55 (d) 3:15
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  24. 24.A clock shows 7:53. What time will it show 126 minutes later? (a) 10:09 (b) 9:59 (c) 10:59 (d) 9:49
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 83 minutes? =
  27. 27.A clock shows 8:32. What time will it show 130 minutes later? (a) 10:42 (b) 10:32 (c) 11:42 (d) 10:52
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 49 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 16 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 177 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 7 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 40 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 39 minutes? =
  40. 40.A clock shows 6:39. What time will it show 34 minutes later? (a) 8:13 (b) 7:23 (c) 7:03 (d) 7:13

Answer key

  1. 44.5
  2. 160
  3. 246
  4. 5:45
  5. 10:55
  6. 4:15
  7. 11:07
  8. 82.5
  9. 3
  10. 10:33
  11. 108
  12. 4:06
  13. 55.5
  14. 12:49
  15. 12:51
  16. 65.5
  17. 147
  18. 97
  19. 149.5
  20. 83.5
  21. 88.5
  22. 3:05
  23. 113.5
  24. 9:59
  25. 174.5
  26. 41.5
  27. 10:42
  28. 47.5
  29. 47
  30. 21
  31. 294
  32. 85.5
  33. 8
  34. 88.5
  35. 66.5
  36. 42
  37. 53.5
  38. 240
  39. 19.5
  40. 7:13

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