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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 935 · 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 minute hand of a clock turn in 46 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 117 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 53 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  10. 10.A clock shows 10:23. What time will it show 64 minutes later? (a) 11:37 (b) 12:27 (c) 11:27 (d) 11:17
  11. 11.A clock shows 9:36. What time will it show 108 minutes later? (a) 11:34 (b) 11:14 (c) 11:24 (d) 12:24
  12. 12.A clock shows 12:12. What time will it show 59 minutes later? (a) 2:11 (b) 1:01 (c) 1:21 (d) 1:11
  13. 13.A clock shows 12:00. What time will it show 108 minutes later? (a) 1:58 (b) 1:48 (c) 1:38 (d) 2:48
  14. 14.A clock shows 10:22. What time will it show 69 minutes later? (a) 12:31 (b) 11:31 (c) 11:41 (d) 11:21
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 74 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  18. 18.A clock shows 7:50. What time will it show 167 minutes later? (a) 10:37 (b) 10:47 (c) 10:27 (d) 11:37
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  20. 20.A clock shows 7:42. What time will it show 102 minutes later? (a) 9:34 (b) 10:24 (c) 9:24 (d) 9:14
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  22. 22.A clock shows 10:25. What time will it show 45 minutes later? (a) 11:00 (b) 11:10 (c) 12:10 (d) 11:20
  23. 23.A clock shows 1:05. What time will it show 82 minutes later? (a) 2:27 (b) 2:37 (c) 3:27 (d) 2:17
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 44 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  27. 27.A clock shows 1:59. What time will it show 91 minutes later? (a) 3:20 (b) 3:30 (c) 3:40 (d) 4:30
  28. 28.A clock shows 6:14. What time will it show 49 minutes later? (a) 7:03 (b) 6:53 (c) 8:03 (d) 7:13
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  31. 31.A clock shows 12:56. What time will it show 84 minutes later? (a) 3:20 (b) 2:30 (c) 2:10 (d) 2:20
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  34. 34.A clock shows 8:45. What time will it show 83 minutes later? (a) 11:08 (b) 9:58 (c) 10:08 (d) 10:18
  35. 35.A clock shows 9:07. What time will it show 53 minutes later? (a) 11:00 (b) 10:10 (c) 10:00 (d) 9:50
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 23 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 12 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 80 minutes? =

Answer key

  1. 276
  2. 135
  3. 113.5
  4. 179
  5. 122
  6. 166.5
  7. 58.5
  8. 318
  9. 144.5
  10. 11:27
  11. 11:24
  12. 1:11
  13. 1:48
  14. 11:31
  15. 152
  16. 37
  17. 97.5
  18. 10:37
  19. 13
  20. 9:24
  21. 92.5
  22. 11:10
  23. 2:27
  24. 12
  25. 264
  26. 134.5
  27. 3:30
  28. 7:03
  29. 6.5
  30. 75.5
  31. 2:20
  32. 154.5
  33. 88.5
  34. 10:08
  35. 10:00
  36. 165
  37. 138
  38. 6
  39. 65.5
  40. 40

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