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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 436 · 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 8:11? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 23 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  6. 6.A clock shows 10:09. What time will it show 45 minutes later? (a) 10:44 (b) 11:04 (c) 11:54 (d) 10:54
  7. 7.A clock shows 9:26. What time will it show 37 minutes later? (a) 9:53 (b) 11:03 (c) 10:13 (d) 10:03
  8. 8.How many degrees does the hour hand of a clock turn in 63 minutes? =
  9. 9.A clock shows 11:33. What time will it show 93 minutes later? (a) 12:56 (b) 2:06 (c) 1:16 (d) 1:06
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 104 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 4 minutes? =
  13. 13.A clock shows 8:24. What time will it show 76 minutes later? (a) 9:50 (b) 9:30 (c) 10:40 (d) 9:40
  14. 14.A clock shows 11:04. What time will it show 32 minutes later? (a) 11:46 (b) 11:26 (c) 12:36 (d) 11:36
  15. 15.How many degrees does the minute hand of a clock turn in 46 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 94 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 115 minutes? =
  18. 18.A clock shows 2:54. What time will it show 115 minutes later? (a) 5:49 (b) 4:39 (c) 4:59 (d) 4:49
  19. 19.A clock shows 4:51. What time will it show 51 minutes later? (a) 6:42 (b) 5:42 (c) 5:32 (d) 5:52
  20. 20.A clock shows 8:45. What time will it show 127 minutes later? (a) 11:52 (b) 10:52 (c) 10:42 (d) 11:02
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 90 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  25. 25.A clock shows 6:31. What time will it show 38 minutes later? (a) 8:09 (b) 7:09 (c) 7:19 (d) 6:59
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  28. 28.A clock shows 4:49. What time will it show 85 minutes later? (a) 7:14 (b) 6:04 (c) 6:14 (d) 6:24
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  30. 30.A clock shows 3:18. What time will it show 11 minutes later? (a) 4:29 (b) 3:39 (c) 3:19 (d) 3:29
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 10 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 34 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 37 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 8 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 42 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 65 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 40 minutes? =

Answer key

  1. 179.5
  2. 168.5
  3. 138
  4. 137
  5. 84.5
  6. 10:54
  7. 10:03
  8. 31.5
  9. 1:06
  10. 70.5
  11. 52
  12. 24
  13. 9:40
  14. 11:36
  15. 276
  16. 47
  17. 57.5
  18. 4:49
  19. 5:42
  20. 10:52
  21. 106
  22. 45
  23. 61
  24. 39
  25. 7:09
  26. 126.5
  27. 120
  28. 6:14
  29. 134
  30. 3:29
  31. 24.5
  32. 60
  33. 204
  34. 222
  35. 48
  36. 252
  37. 103
  38. 32.5
  39. 71.5
  40. 240

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