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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 375 · 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 4:18? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 144 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  5. 5.A clock shows 10:54. What time will it show 144 minutes later? (a) 1:18 (b) 1:28 (c) 2:18 (d) 1:08
  6. 6.How many degrees does the hour hand of a clock turn in 138 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 114 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 41 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 17 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  13. 13.A clock shows 8:54. What time will it show 63 minutes later? (a) 9:47 (b) 10:07 (c) 10:57 (d) 9:57
  14. 14.A clock shows 7:45. What time will it show 43 minutes later? (a) 8:28 (b) 8:38 (c) 8:18 (d) 9:28
  15. 15.A clock shows 1:29. What time will it show 95 minutes later? (a) 3:04 (b) 3:14 (c) 2:54 (d) 4:04
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  17. 17.A clock shows 4:00. What time will it show 134 minutes later? (a) 6:14 (b) 7:14 (c) 6:24 (d) 6:04
  18. 18.A clock shows 5:54. What time will it show 128 minutes later? (a) 8:12 (b) 8:02 (c) 7:52 (d) 9:02
  19. 19.A clock shows 1:44. What time will it show 137 minutes later? (a) 3:51 (b) 4:11 (c) 4:01 (d) 5:01
  20. 20.A clock shows 3:26. What time will it show 98 minutes later? (a) 5:14 (b) 6:04 (c) 5:04 (d) 4:54
  21. 21.How many degrees does the hour hand of a clock turn in 118 minutes? =
  22. 22.A clock shows 11:05. What time will it show 63 minutes later? (a) 1:08 (b) 11:58 (c) 12:18 (d) 12:08
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  26. 26.A clock shows 3:05. What time will it show 23 minutes later? (a) 3:38 (b) 4:28 (c) 3:28 (d) 3:18
  27. 27.How many degrees does the minute hand of a clock turn in 9 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 108 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 35 minutes? =
  30. 30.A clock shows 6:58. What time will it show 94 minutes later? (a) 8:42 (b) 8:22 (c) 9:32 (d) 8:32
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  32. 32.A clock shows 11:15. What time will it show 78 minutes later? (a) 12:23 (b) 1:33 (c) 12:33 (d) 12:43
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 11 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =

Answer key

  1. 21
  2. 72
  3. 149.5
  4. 58.5
  5. 1:18
  6. 69
  7. 139
  8. 57
  9. 20.5
  10. 10
  11. 102
  12. 99
  13. 9:57
  14. 8:28
  15. 3:04
  16. 85.5
  17. 6:14
  18. 8:02
  19. 4:01
  20. 5:04
  21. 59
  22. 12:08
  23. 23.5
  24. 35.5
  25. 169.5
  26. 3:28
  27. 54
  28. 54
  29. 210
  30. 8:32
  31. 115.5
  32. 12:33
  33. 109.5
  34. 117.5
  35. 172
  36. 134.5
  37. 164.5
  38. 66
  39. 103
  40. 149

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