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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 377 · 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 2:21? (in degrees) =
  2. 2.A clock shows 10:07. What time will it show 153 minutes later? (a) 12:30 (b) 12:40 (c) 12:50 (d) 1:40
  3. 3.How many degrees does the hour hand of a clock turn in 50 minutes? =
  4. 4.A clock shows 12:44. What time will it show 13 minutes later? (a) 12:57 (b) 1:07 (c) 12:47 (d) 1:57
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  6. 6.A clock shows 4:24. What time will it show 35 minutes later? (a) 4:59 (b) 5:09 (c) 4:49 (d) 5:59
  7. 7.A clock shows 3:45. What time will it show 167 minutes later? (a) 6:32 (b) 7:32 (c) 6:22 (d) 6:42
  8. 8.How many degrees does the hour hand of a clock turn in 140 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 49 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 128 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 67 minutes? =
  12. 12.A clock shows 2:42. What time will it show 153 minutes later? (a) 5:25 (b) 5:05 (c) 5:15 (d) 6:15
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 58 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 116 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 45 minutes? =
  18. 18.A clock shows 8:04. What time will it show 96 minutes later? (a) 9:50 (b) 9:40 (c) 10:40 (d) 9:30
  19. 19.A clock shows 6:51. What time will it show 101 minutes later? (a) 8:22 (b) 8:42 (c) 9:32 (d) 8:32
  20. 20.A clock shows 11:11. What time will it show 96 minutes later? (a) 12:57 (b) 12:47 (c) 12:37 (d) 1:47
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 100 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 17 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  25. 25.A clock shows 1:41. What time will it show 16 minutes later? (a) 2:07 (b) 1:47 (c) 2:57 (d) 1:57
  26. 26.A clock shows 10:29. What time will it show 43 minutes later? (a) 12:12 (b) 11:02 (c) 11:12 (d) 11:22
  27. 27.How many degrees does the hour hand of a clock turn in 78 minutes? =
  28. 28.A clock shows 8:06. What time will it show 88 minutes later? (a) 9:34 (b) 9:44 (c) 9:24 (d) 10:34
  29. 29.A clock shows 11:00. What time will it show 74 minutes later? (a) 12:14 (b) 12:04 (c) 1:14 (d) 12:24
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
  32. 32.A clock shows 10:46. What time will it show 99 minutes later? (a) 12:15 (b) 12:25 (c) 12:35 (d) 1:25
  33. 33.A clock shows 8:49. What time will it show 106 minutes later? (a) 11:35 (b) 10:25 (c) 10:35 (d) 10:45
  34. 34.How many degrees does the minute hand of a clock turn in 21 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 42 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  38. 38.A clock shows 7:44. What time will it show 21 minutes later? (a) 8:05 (b) 7:55 (c) 8:15 (d) 9:05
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =

Answer key

  1. 55.5
  2. 12:40
  3. 25
  4. 12:57
  5. 128
  6. 4:59
  7. 6:32
  8. 70
  9. 294
  10. 64
  11. 33.5
  12. 5:15
  13. 0.5
  14. 348
  15. 58.5
  16. 58
  17. 270
  18. 9:40
  19. 8:32
  20. 12:47
  21. 136.5
  22. 50
  23. 102
  24. 115
  25. 1:57
  26. 11:12
  27. 39
  28. 9:34
  29. 12:14
  30. 73.5
  31. 86
  32. 12:25
  33. 10:35
  34. 126
  35. 252
  36. 39.5
  37. 87
  38. 8:05
  39. 124
  40. 149.5

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