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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 78 · 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 51 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 164 minutes? =
  5. 5.A clock shows 10:37. What time will it show 56 minutes later? (a) 11:43 (b) 11:23 (c) 11:33 (d) 12:33
  6. 6.A clock shows 7:28. What time will it show 144 minutes later? (a) 9:52 (b) 10:02 (c) 9:42 (d) 10:52
  7. 7.A clock shows 5:36. What time will it show 107 minutes later? (a) 7:13 (b) 7:33 (c) 8:23 (d) 7:23
  8. 8.A clock shows 6:34. What time will it show 159 minutes later? (a) 9:03 (b) 10:13 (c) 9:23 (d) 9:13
  9. 9.A clock shows 2:30. What time will it show 166 minutes later? (a) 5:06 (b) 6:16 (c) 5:16 (d) 5:26
  10. 10.How many degrees does the minute hand of a clock turn in 13 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 120 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 6 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 49 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 107 minutes? =
  17. 17.A clock shows 1:34. What time will it show 88 minutes later? (a) 3:12 (b) 4:02 (c) 3:02 (d) 2:52
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  21. 21.A clock shows 5:30. What time will it show 89 minutes later? (a) 6:49 (b) 7:59 (c) 7:09 (d) 6:59
  22. 22.A clock shows 2:09. What time will it show 132 minutes later? (a) 4:31 (b) 4:21 (c) 5:21 (d) 4:11
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 43 minutes? =
  25. 25.A clock shows 1:38. What time will it show 34 minutes later? (a) 2:02 (b) 3:12 (c) 2:12 (d) 2:22
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 56 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 102 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 85 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  33. 33.A clock shows 2:02. What time will it show 84 minutes later? (a) 3:36 (b) 3:26 (c) 3:16 (d) 4:26
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  37. 37.A clock shows 6:57. What time will it show 20 minutes later? (a) 7:07 (b) 8:17 (c) 7:27 (d) 7:17
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  40. 40.A clock shows 6:46. What time will it show 152 minutes later? (a) 9:28 (b) 9:08 (c) 10:18 (d) 9:18

Answer key

  1. 306
  2. 13
  3. 51
  4. 82
  5. 11:33
  6. 9:52
  7. 7:23
  8. 9:13
  9. 5:16
  10. 78
  11. 60
  12. 129.5
  13. 36
  14. 172.5
  15. 294
  16. 53.5
  17. 3:02
  18. 174.5
  19. 27.5
  20. 51.5
  21. 6:59
  22. 4:21
  23. 75.5
  24. 258
  25. 2:12
  26. 172
  27. 28
  28. 51
  29. 174.5
  30. 115
  31. 42.5
  32. 139
  33. 3:26
  34. 89.5
  35. 89
  36. 166.5
  37. 7:17
  38. 158.5
  39. 120.5
  40. 9:18

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