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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 336 · 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 87 minutes? =
  2. 2.A clock shows 10:11. What time will it show 153 minutes later? (a) 1:44 (b) 12:44 (c) 12:54 (d) 12:34
  3. 3.A clock shows 3:06. What time will it show 16 minutes later? (a) 3:32 (b) 3:12 (c) 4:22 (d) 3:22
  4. 4.How many degrees does the minute hand of a clock turn in 10 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 6 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 50 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 152 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  10. 10.A clock shows 11:20. What time will it show 14 minutes later? (a) 12:34 (b) 11:34 (c) 11:44 (d) 11:24
  11. 11.How many degrees does the minute hand of a clock turn in 57 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 4 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 24 minutes? =
  19. 19.A clock shows 3:50. What time will it show 98 minutes later? (a) 6:28 (b) 5:18 (c) 5:38 (d) 5:28
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  21. 21.A clock shows 3:33. What time will it show 48 minutes later? (a) 5:21 (b) 4:21 (c) 4:31 (d) 4:11
  22. 22.A clock shows 3:09. What time will it show 134 minutes later? (a) 6:23 (b) 5:13 (c) 5:23 (d) 5:33
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 45 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 11 minutes? =
  27. 27.A clock shows 11:01. What time will it show 98 minutes later? (a) 12:39 (b) 1:39 (c) 12:29 (d) 12:49
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 68 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 37 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 98 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 55 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 21 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 170 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 35 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  38. 38.A clock shows 11:58. What time will it show 51 minutes later? (a) 12:39 (b) 12:49 (c) 12:59 (d) 1:49
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  40. 40.A clock shows 7:16. What time will it show 114 minutes later? (a) 9:20 (b) 9:00 (c) 10:10 (d) 9:10

Answer key

  1. 43.5
  2. 12:44
  3. 3:22
  4. 60
  5. 36
  6. 25
  7. 76
  8. 8
  9. 147.5
  10. 11:34
  11. 342
  12. 128
  13. 103.5
  14. 7
  15. 24
  16. 121.5
  17. 98
  18. 144
  19. 5:28
  20. 77.5
  21. 4:21
  22. 5:23
  23. 16
  24. 22.5
  25. 126
  26. 66
  27. 12:39
  28. 135
  29. 43.5
  30. 34
  31. 18.5
  32. 49
  33. 330
  34. 126
  35. 85
  36. 17.5
  37. 109
  38. 12:49
  39. 50
  40. 9:10

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