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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 352 · 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 71 minutes? =
  2. 2.A clock shows 4:17. What time will it show 78 minutes later? (a) 5:25 (b) 5:45 (c) 5:35 (d) 6:35
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 171 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 128 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  8. 8.A clock shows 9:04. What time will it show 123 minutes later? (a) 11:17 (b) 12:07 (c) 10:57 (d) 11:07
  9. 9.A clock shows 2:50. What time will it show 152 minutes later? (a) 6:22 (b) 5:22 (c) 5:12 (d) 5:32
  10. 10.A clock shows 8:06. What time will it show 153 minutes later? (a) 10:29 (b) 11:39 (c) 10:39 (d) 10:49
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 134 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 5 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  18. 18.A clock shows 6:28. What time will it show 145 minutes later? (a) 8:53 (b) 8:43 (c) 9:03 (d) 9:53
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 4 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 86 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 3 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 162 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 66 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 38 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 31 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  34. 34.A clock shows 11:05. What time will it show 62 minutes later? (a) 11:57 (b) 12:17 (c) 1:07 (d) 12:07
  35. 35.How many degrees does the hour hand of a clock turn in 34 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  37. 37.A clock shows 8:14. What time will it show 21 minutes later? (a) 8:25 (b) 8:35 (c) 8:45 (d) 9:35
  38. 38.A clock shows 6:36. What time will it show 17 minutes later? (a) 7:53 (b) 6:53 (c) 6:43 (d) 7:03
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  40. 40.A clock shows 8:47. What time will it show 41 minutes later? (a) 9:28 (b) 9:18 (c) 10:28 (d) 9:38

Answer key

  1. 35.5
  2. 5:35
  3. 101.5
  4. 85.5
  5. 144
  6. 64
  7. 111
  8. 11:07
  9. 5:22
  10. 10:39
  11. 41.5
  12. 170.5
  13. 115
  14. 67
  15. 152
  16. 30
  17. 88.5
  18. 8:53
  19. 17.5
  20. 138
  21. 93.5
  22. 24
  23. 108.5
  24. 87.5
  25. 43
  26. 18
  27. 71
  28. 121
  29. 81
  30. 33
  31. 228
  32. 186
  33. 33.5
  34. 12:07
  35. 17
  36. 172
  37. 8:35
  38. 6:53
  39. 151.5
  40. 9:28

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