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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 296 · 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.A clock shows 2:31. What time will it show 103 minutes later? (a) 5:14 (b) 4:24 (c) 4:04 (d) 4:14
  2. 2.A clock shows 6:32. What time will it show 54 minutes later? (a) 8:26 (b) 7:26 (c) 7:16 (d) 7:36
  3. 3.How many degrees does the hour hand of a clock turn in 103 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  5. 5.A clock shows 3:37. What time will it show 62 minutes later? (a) 5:39 (b) 4:49 (c) 4:29 (d) 4:39
  6. 6.How many degrees does the hour hand of a clock turn in 34 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  8. 8.A clock shows 3:47. What time will it show 158 minutes later? (a) 6:15 (b) 7:25 (c) 6:35 (d) 6:25
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 129 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  12. 12.A clock shows 2:19. What time will it show 65 minutes later? (a) 3:14 (b) 4:24 (c) 3:24 (d) 3:34
  13. 13.How many degrees does the hour hand of a clock turn in 50 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 4 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 20 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 40 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 36 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 46 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 42 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 133 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 35 minutes? =
  24. 24.A clock shows 3:26. What time will it show 108 minutes later? (a) 5:04 (b) 5:14 (c) 5:24 (d) 6:14
  25. 25.A clock shows 10:36. What time will it show 151 minutes later? (a) 2:07 (b) 1:17 (c) 12:57 (d) 1:07
  26. 26.A clock shows 1:03. What time will it show 88 minutes later? (a) 2:31 (b) 3:31 (c) 2:41 (d) 2:21
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  28. 28.A clock shows 2:58. What time will it show 81 minutes later? (a) 4:09 (b) 4:19 (c) 4:29 (d) 5:19
  29. 29.How many degrees does the minute hand of a clock turn in 32 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 82 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 178 minutes? =
  32. 32.A clock shows 7:04. What time will it show 76 minutes later? (a) 9:20 (b) 8:20 (c) 8:30 (d) 8:10
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  35. 35.A clock shows 1:01. What time will it show 58 minutes later? (a) 2:59 (b) 2:09 (c) 1:49 (d) 1:59
  36. 36.A clock shows 3:53. What time will it show 153 minutes later? (a) 6:36 (b) 7:26 (c) 6:26 (d) 6:16
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 59 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 16 minutes? =

Answer key

  1. 4:14
  2. 7:26
  3. 51.5
  4. 81.5
  5. 4:39
  6. 17
  7. 76.5
  8. 6:25
  9. 95.5
  10. 64.5
  11. 52.5
  12. 3:24
  13. 25
  14. 24
  15. 120
  16. 240
  17. 18
  18. 147.5
  19. 276
  20. 252
  21. 66.5
  22. 37.5
  23. 210
  24. 5:14
  25. 1:07
  26. 2:31
  27. 45.5
  28. 4:19
  29. 192
  30. 41
  31. 89
  32. 8:20
  33. 126.5
  34. 47.5
  35. 1:59
  36. 6:26
  37. 170.5
  38. 117.5
  39. 354
  40. 96

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