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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 761 · 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 33 minutes? =
  2. 2.A clock shows 12:43. What time will it show 117 minutes later? (a) 2:40 (b) 2:50 (c) 2:30 (d) 3:40
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  4. 4.A clock shows 9:29. What time will it show 126 minutes later? (a) 11:45 (b) 11:35 (c) 11:25 (d) 12:35
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 10 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 131 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 116 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 144 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 118 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  15. 15.A clock shows 1:11. What time will it show 155 minutes later? (a) 3:36 (b) 4:46 (c) 3:46 (d) 3:56
  16. 16.How many degrees does the minute hand of a clock turn in 24 minutes? =
  17. 17.A clock shows 7:13. What time will it show 69 minutes later? (a) 8:12 (b) 8:32 (c) 9:22 (d) 8:22
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 75 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 172 minutes? =
  21. 21.A clock shows 9:20. What time will it show 23 minutes later? (a) 9:43 (b) 9:53 (c) 9:33 (d) 10:43
  22. 22.How many degrees does the hour hand of a clock turn in 23 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 168 minutes? =
  26. 26.A clock shows 9:10. What time will it show 150 minutes later? (a) 11:30 (b) 11:40 (c) 11:50 (d) 12:40
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 31 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  31. 31.A clock shows 8:34. What time will it show 153 minutes later? (a) 12:07 (b) 11:07 (c) 11:17 (d) 10:57
  32. 32.A clock shows 4:50. What time will it show 109 minutes later? (a) 6:29 (b) 7:39 (c) 6:39 (d) 6:49
  33. 33.A clock shows 10:46. What time will it show 137 minutes later? (a) 2:03 (b) 12:53 (c) 1:03 (d) 1:13
  34. 34.A clock shows 2:44. What time will it show 84 minutes later? (a) 4:18 (b) 5:08 (c) 4:08 (d) 3:58
  35. 35.A clock shows 11:33. What time will it show 39 minutes later? (a) 12:12 (b) 1:12 (c) 12:02 (d) 12:22
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  37. 37.A clock shows 4:07. What time will it show 74 minutes later? (a) 5:31 (b) 6:21 (c) 5:11 (d) 5:21
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 22 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =

Answer key

  1. 198
  2. 2:40
  3. 44
  4. 11:35
  5. 161.5
  6. 179
  7. 1
  8. 60
  9. 65.5
  10. 58
  11. 101.5
  12. 72
  13. 59
  14. 22.5
  15. 3:46
  16. 144
  17. 8:22
  18. 126
  19. 37.5
  20. 86
  21. 9:43
  22. 11.5
  23. 39.5
  24. 97.5
  25. 84
  26. 11:40
  27. 69
  28. 132
  29. 186
  30. 166
  31. 11:07
  32. 6:39
  33. 1:03
  34. 4:08
  35. 12:12
  36. 77
  37. 5:21
  38. 153.5
  39. 132
  40. 170

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