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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 159 · 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.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  2. 2.A clock shows 1:56. What time will it show 65 minutes later? (a) 3:11 (b) 4:01 (c) 2:51 (d) 3:01
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 168 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 88 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 53 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 70 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 72 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 170 minutes? =
  10. 10.A clock shows 4:03. What time will it show 92 minutes later? (a) 5:25 (b) 5:45 (c) 6:35 (d) 5:35
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  12. 12.A clock shows 6:45. What time will it show 63 minutes later? (a) 7:58 (b) 7:48 (c) 7:38 (d) 8:48
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  15. 15.A clock shows 9:05. What time will it show 106 minutes later? (a) 11:51 (b) 10:41 (c) 11:01 (d) 10:51
  16. 16.A clock shows 4:45. What time will it show 119 minutes later? (a) 6:54 (b) 6:44 (c) 7:44 (d) 6:34
  17. 17.A clock shows 6:01. What time will it show 130 minutes later? (a) 9:11 (b) 8:21 (c) 8:11 (d) 8:01
  18. 18.How many degrees does the minute hand of a clock turn in 17 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 178 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  21. 21.A clock shows 8:17. What time will it show 56 minutes later? (a) 9:23 (b) 10:13 (c) 9:03 (d) 9:13
  22. 22.How many degrees does the hour hand of a clock turn in 140 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  24. 24.A clock shows 11:32. What time will it show 63 minutes later? (a) 12:25 (b) 1:35 (c) 12:35 (d) 12:45
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  27. 27.A clock shows 6:03. What time will it show 113 minutes later? (a) 7:56 (b) 8:06 (c) 8:56 (d) 7:46
  28. 28.How many degrees does the hour hand of a clock turn in 79 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 55 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 24 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 2 minutes? =
  34. 34.A clock shows 5:45. What time will it show 157 minutes later? (a) 8:32 (b) 8:22 (c) 8:12 (d) 9:22
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  36. 36.A clock shows 1:41. What time will it show 104 minutes later? (a) 3:15 (b) 3:35 (c) 4:25 (d) 3:25
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  38. 38.A clock shows 9:00. What time will it show 152 minutes later? (a) 11:42 (b) 11:32 (c) 12:32 (d) 11:22
  39. 39.How many degrees does the hour hand of a clock turn in 109 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =

Answer key

  1. 66
  2. 3:01
  3. 35.5
  4. 84
  5. 44
  6. 318
  7. 35
  8. 36
  9. 85
  10. 5:35
  11. 64
  12. 7:48
  13. 147
  14. 31.5
  15. 10:51
  16. 6:44
  17. 8:11
  18. 102
  19. 89
  20. 108.5
  21. 9:13
  22. 70
  23. 90
  24. 12:35
  25. 51.5
  26. 107
  27. 7:56
  28. 39.5
  29. 27.5
  30. 81
  31. 34.5
  32. 144
  33. 12
  34. 8:22
  35. 111
  36. 3:25
  37. 68
  38. 11:32
  39. 54.5
  40. 13.5

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