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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 417 · 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 130 minutes? =
  2. 2.A clock shows 1:56. What time will it show 82 minutes later? (a) 3:28 (b) 4:18 (c) 3:08 (d) 3:18
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 29 minutes? =
  5. 5.A clock shows 5:39. What time will it show 98 minutes later? (a) 7:17 (b) 7:07 (c) 7:27 (d) 8:17
  6. 6.How many degrees does the minute hand of a clock turn in 58 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  9. 9.A clock shows 4:52. What time will it show 124 minutes later? (a) 6:46 (b) 7:06 (c) 6:56 (d) 7:56
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 49 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  19. 19.A clock shows 1:41. What time will it show 85 minutes later? (a) 4:06 (b) 2:56 (c) 3:06 (d) 3:16
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  21. 21.A clock shows 8:57. What time will it show 68 minutes later? (a) 10:05 (b) 10:15 (c) 11:05 (d) 9:55
  22. 22.How many degrees does the minute hand of a clock turn in 41 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 170 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  25. 25.A clock shows 7:44. What time will it show 46 minutes later? (a) 8:40 (b) 9:30 (c) 8:20 (d) 8:30
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 38 minutes? =
  28. 28.A clock shows 10:40. What time will it show 99 minutes later? (a) 1:19 (b) 12:29 (c) 12:09 (d) 12:19
  29. 29.A clock shows 3:39. What time will it show 164 minutes later? (a) 6:13 (b) 6:33 (c) 7:23 (d) 6:23
  30. 30.How many degrees does the hour hand of a clock turn in 99 minutes? =
  31. 31.A clock shows 8:55. What time will it show 59 minutes later? (a) 9:44 (b) 10:04 (c) 9:54 (d) 10:54
  32. 32.A clock shows 2:32. What time will it show 67 minutes later? (a) 3:29 (b) 4:39 (c) 3:49 (d) 3:39
  33. 33.How many degrees does the hour hand of a clock turn in 50 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 19 minutes? =
  35. 35.A clock shows 2:53. What time will it show 94 minutes later? (a) 4:37 (b) 4:27 (c) 4:17 (d) 5:27
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 8 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 45 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 22 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =

Answer key

  1. 65
  2. 3:18
  3. 29.5
  4. 174
  5. 7:17
  6. 348
  7. 28.5
  8. 98
  9. 6:56
  10. 8.5
  11. 114.5
  12. 93.5
  13. 294
  14. 150.5
  15. 105
  16. 76.5
  17. 63.5
  18. 65.5
  19. 3:06
  20. 169.5
  21. 10:05
  22. 246
  23. 85
  24. 128.5
  25. 8:30
  26. 95.5
  27. 228
  28. 12:19
  29. 6:23
  30. 49.5
  31. 9:54
  32. 3:39
  33. 25
  34. 114
  35. 4:27
  36. 21.5
  37. 48
  38. 22.5
  39. 132
  40. 91.5

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