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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 67 · 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 131 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  5. 5.A clock shows 6:11. What time will it show 69 minutes later? (a) 8:20 (b) 7:30 (c) 7:10 (d) 7:20
  6. 6.A clock shows 8:12. What time will it show 170 minutes later? (a) 11:02 (b) 10:52 (c) 11:12 (d) 12:02
  7. 7.A clock shows 9:57. What time will it show 103 minutes later? (a) 11:30 (b) 12:40 (c) 11:40 (d) 11:50
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 179 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 56 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 34 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 135 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 8 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 176 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 58 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 122 minutes? =
  19. 19.A clock shows 8:06. What time will it show 47 minutes later? (a) 8:53 (b) 9:03 (c) 9:53 (d) 8:43
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 39 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  26. 26.A clock shows 3:53. What time will it show 46 minutes later? (a) 4:39 (b) 4:49 (c) 4:29 (d) 5:39
  27. 27.How many degrees does the hour hand of a clock turn in 15 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  29. 29.A clock shows 9:00. What time will it show 33 minutes later? (a) 9:23 (b) 9:43 (c) 10:33 (d) 9:33
  30. 30.A clock shows 7:32. What time will it show 36 minutes later? (a) 8:08 (b) 7:58 (c) 9:08 (d) 8:18
  31. 31.A clock shows 3:24. What time will it show 120 minutes later? (a) 5:34 (b) 6:24 (c) 5:24 (d) 5:14
  32. 32.How many degrees does the hour hand of a clock turn in 106 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  36. 36.A clock shows 11:18. What time will it show 74 minutes later? (a) 12:42 (b) 1:32 (c) 12:22 (d) 12:32
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 32 minutes? =
  39. 39.A clock shows 12:23. What time will it show 159 minutes later? (a) 4:02 (b) 3:02 (c) 2:52 (d) 3:12
  40. 40.A clock shows 2:56. What time will it show 72 minutes later? (a) 4:18 (b) 5:08 (c) 4:08 (d) 3:58

Answer key

  1. 65.5
  2. 95.5
  3. 160
  4. 17.5
  5. 7:20
  6. 11:02
  7. 11:40
  8. 132
  9. 81
  10. 9
  11. 89.5
  12. 336
  13. 17
  14. 67.5
  15. 48
  16. 88
  17. 348
  18. 61
  19. 8:53
  20. 158
  21. 234
  22. 36.5
  23. 94
  24. 32.5
  25. 151
  26. 4:39
  27. 7.5
  28. 145.5
  29. 9:33
  30. 8:08
  31. 5:24
  32. 53
  33. 13.5
  34. 79
  35. 76.5
  36. 12:32
  37. 152.5
  38. 16
  39. 3:02
  40. 4:08

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