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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 992 · 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 6:13? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 38 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 180 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  8. 8.A clock shows 3:03. What time will it show 119 minutes later? (a) 5:02 (b) 6:02 (c) 5:12 (d) 4:52
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  10. 10.A clock shows 1:37. What time will it show 80 minutes later? (a) 2:47 (b) 3:07 (c) 2:57 (d) 3:57
  11. 11.A clock shows 7:50. What time will it show 170 minutes later? (a) 10:30 (b) 11:40 (c) 10:40 (d) 10:50
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 10 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 45 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  16. 16.A clock shows 9:09. What time will it show 122 minutes later? (a) 12:11 (b) 11:11 (c) 11:01 (d) 11:21
  17. 17.A clock shows 11:50. What time will it show 20 minutes later? (a) 12:00 (b) 12:10 (c) 12:20 (d) 1:10
  18. 18.How many degrees does the hour hand of a clock turn in 15 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
  23. 23.A clock shows 2:47. What time will it show 154 minutes later? (a) 5:21 (b) 5:31 (c) 6:21 (d) 5:11
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 97 minutes? =
  26. 26.A clock shows 5:50. What time will it show 28 minutes later? (a) 7:18 (b) 6:08 (c) 6:18 (d) 6:28
  27. 27.A clock shows 8:31. What time will it show 135 minutes later? (a) 10:46 (b) 11:46 (c) 10:56 (d) 10:36
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  30. 30.A clock shows 1:09. What time will it show 95 minutes later? (a) 2:54 (b) 2:44 (c) 3:44 (d) 2:34
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 33 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  35. 35.A clock shows 9:15. What time will it show 63 minutes later? (a) 11:18 (b) 10:08 (c) 10:28 (d) 10:18
  36. 36.A clock shows 11:07. What time will it show 30 minutes later? (a) 12:37 (b) 11:47 (c) 11:37 (d) 11:27
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  39. 39.A clock shows 9:40. What time will it show 18 minutes later? (a) 10:58 (b) 10:08 (c) 9:48 (d) 9:58
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =

Answer key

  1. 108.5
  2. 114
  3. 139
  4. 228
  5. 138.5
  6. 90
  7. 48.5
  8. 5:02
  9. 49.5
  10. 2:57
  11. 10:40
  12. 3
  13. 60
  14. 270
  15. 34.5
  16. 11:11
  17. 12:10
  18. 7.5
  19. 107.5
  20. 40
  21. 107
  22. 103.5
  23. 5:21
  24. 63
  25. 48.5
  26. 6:18
  27. 10:46
  28. 150
  29. 97.5
  30. 2:44
  31. 158.5
  32. 198
  33. 178
  34. 48
  35. 10:18
  36. 11:37
  37. 165
  38. 109.5
  39. 9:58
  40. 173.5

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