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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 22 · 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 27 minutes? =
  2. 2.A clock shows 12:30. What time will it show 167 minutes later? (a) 4:17 (b) 3:07 (c) 3:27 (d) 3:17
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 113 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 83 minutes? =
  7. 7.A clock shows 11:39. What time will it show 124 minutes later? (a) 1:33 (b) 2:43 (c) 1:53 (d) 1:43
  8. 8.How many degrees does the hour hand of a clock turn in 58 minutes? =
  9. 9.A clock shows 12:10. What time will it show 109 minutes later? (a) 2:59 (b) 2:09 (c) 1:49 (d) 1:59
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 37 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 14 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 31 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 118 minutes? =
  17. 17.A clock shows 6:01. What time will it show 51 minutes later? (a) 7:02 (b) 6:42 (c) 7:52 (d) 6:52
  18. 18.How many degrees does the hour hand of a clock turn in 92 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  20. 20.A clock shows 1:52. What time will it show 96 minutes later? (a) 3:38 (b) 4:28 (c) 3:18 (d) 3:28
  21. 21.A clock shows 12:14. What time will it show 151 minutes later? (a) 2:35 (b) 2:45 (c) 3:45 (d) 2:55
  22. 22.How many degrees does the hour hand of a clock turn in 16 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 8 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 45 minutes? =
  25. 25.A clock shows 12:57. What time will it show 61 minutes later? (a) 2:08 (b) 1:58 (c) 2:58 (d) 1:48
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  27. 27.A clock shows 6:01. What time will it show 75 minutes later? (a) 7:26 (b) 7:06 (c) 7:16 (d) 8:16
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 170 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 57 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 25 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 174 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  38. 38.A clock shows 8:33. What time will it show 82 minutes later? (a) 9:55 (b) 10:55 (c) 9:45 (d) 10:05
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 2 minutes? =

Answer key

  1. 162
  2. 3:17
  3. 99.5
  4. 53
  5. 56.5
  6. 41.5
  7. 1:43
  8. 29
  9. 1:59
  10. 101
  11. 222
  12. 179
  13. 84
  14. 147.5
  15. 186
  16. 59
  17. 6:52
  18. 46
  19. 25.5
  20. 3:28
  21. 2:45
  22. 8
  23. 48
  24. 270
  25. 1:58
  26. 37.5
  27. 7:16
  28. 48
  29. 166.5
  30. 85
  31. 76.5
  32. 342
  33. 150
  34. 87
  35. 51
  36. 74
  37. 155.5
  38. 9:55
  39. 174.5
  40. 12

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