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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 84 · 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 49 minutes? =
  2. 2.A clock shows 6:59. What time will it show 165 minutes later? (a) 9:34 (b) 9:54 (c) 9:44 (d) 10:44
  3. 3.How many degrees does the hour hand of a clock turn in 58 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  5. 5.A clock shows 10:41. What time will it show 169 minutes later? (a) 1:20 (b) 2:30 (c) 1:30 (d) 1:40
  6. 6.How many degrees does the hour hand of a clock turn in 28 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 12 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 46 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  12. 12.A clock shows 2:14. What time will it show 135 minutes later? (a) 4:19 (b) 4:29 (c) 4:39 (d) 5:29
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  17. 17.A clock shows 3:37. What time will it show 140 minutes later? (a) 6:57 (b) 5:47 (c) 5:57 (d) 6:07
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  19. 19.A clock shows 5:01. What time will it show 99 minutes later? (a) 7:40 (b) 6:50 (c) 6:40 (d) 6:30
  20. 20.A clock shows 10:42. What time will it show 79 minutes later? (a) 1:01 (b) 11:51 (c) 12:11 (d) 12:01
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  22. 22.A clock shows 6:03. What time will it show 147 minutes later? (a) 8:30 (b) 9:30 (c) 8:40 (d) 8:20
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  25. 25.A clock shows 5:04. What time will it show 39 minutes later? (a) 5:53 (b) 5:43 (c) 6:43 (d) 5:33
  26. 26.How many degrees does the hour hand of a clock turn in 38 minutes? =
  27. 27.A clock shows 8:41. What time will it show 163 minutes later? (a) 11:14 (b) 11:34 (c) 12:24 (d) 11:24
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 42 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 52 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  33. 33.A clock shows 7:54. What time will it show 41 minutes later? (a) 8:35 (b) 9:35 (c) 8:45 (d) 8:25
  34. 34.A clock shows 11:47. What time will it show 86 minutes later? (a) 1:13 (b) 1:23 (c) 1:03 (d) 2:13
  35. 35.How many degrees does the minute hand of a clock turn in 28 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 4 minutes? =
  37. 37.A clock shows 6:22. What time will it show 49 minutes later? (a) 8:11 (b) 7:01 (c) 7:21 (d) 7:11
  38. 38.How many degrees does the hour hand of a clock turn in 153 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =

Answer key

  1. 24.5
  2. 9:44
  3. 29
  4. 170.5
  5. 1:30
  6. 14
  7. 6
  8. 45
  9. 120.5
  10. 23
  11. 71.5
  12. 4:29
  13. 40
  14. 104.5
  15. 90
  16. 21
  17. 5:57
  18. 162
  19. 6:40
  20. 12:01
  21. 139
  22. 8:30
  23. 44
  24. 171
  25. 5:43
  26. 19
  27. 11:24
  28. 51.5
  29. 252
  30. 312
  31. 70.5
  32. 151
  33. 8:35
  34. 1:13
  35. 168
  36. 24
  37. 7:11
  38. 76.5
  39. 129
  40. 66

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