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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 580 · 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 100 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 120 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 54 minutes? =
  7. 7.A clock shows 6:37. What time will it show 159 minutes later? (a) 10:16 (b) 9:06 (c) 9:16 (d) 9:26
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 168 minutes? =
  10. 10.A clock shows 7:52. What time will it show 137 minutes later? (a) 10:19 (b) 10:09 (c) 11:09 (d) 9:59
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  12. 12.A clock shows 7:21. What time will it show 99 minutes later? (a) 10:00 (b) 9:00 (c) 8:50 (d) 9:10
  13. 13.A clock shows 8:47. What time will it show 123 minutes later? (a) 10:40 (b) 11:00 (c) 10:50 (d) 11:50
  14. 14.How many degrees does the minute hand of a clock turn in 10 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 34 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 67 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  22. 22.A clock shows 12:41. What time will it show 101 minutes later? (a) 2:12 (b) 2:22 (c) 2:32 (d) 3:22
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  24. 24.A clock shows 12:01. What time will it show 72 minutes later? (a) 1:23 (b) 2:13 (c) 1:13 (d) 1:03
  25. 25.How many degrees does the hour hand of a clock turn in 127 minutes? =
  26. 26.A clock shows 6:28. What time will it show 163 minutes later? (a) 9:21 (b) 9:01 (c) 10:11 (d) 9:11
  27. 27.How many degrees does the minute hand of a clock turn in 35 minutes? =
  28. 28.A clock shows 11:05. What time will it show 32 minutes later? (a) 12:37 (b) 11:37 (c) 11:27 (d) 11:47
  29. 29.A clock shows 2:00. What time will it show 128 minutes later? (a) 3:58 (b) 4:08 (c) 5:08 (d) 4:18
  30. 30.How many degrees does the minute hand of a clock turn in 2 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 77 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 50 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  34. 34.A clock shows 11:58. What time will it show 26 minutes later? (a) 1:24 (b) 12:34 (c) 12:24 (d) 12:14
  35. 35.How many degrees does the minute hand of a clock turn in 14 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 51 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  39. 39.A clock shows 10:42. What time will it show 52 minutes later? (a) 12:34 (b) 11:44 (c) 11:24 (d) 11:34
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =

Answer key

  1. 50
  2. 115
  3. 95.5
  4. 8
  5. 60
  6. 324
  7. 9:16
  8. 10
  9. 84
  10. 10:09
  11. 101.5
  12. 9:00
  13. 10:50
  14. 60
  15. 149.5
  16. 204
  17. 165.5
  18. 33.5
  19. 94
  20. 176.5
  21. 99.5
  22. 2:22
  23. 153
  24. 1:13
  25. 63.5
  26. 9:11
  27. 210
  28. 11:37
  29. 4:08
  30. 12
  31. 38.5
  32. 300
  33. 19.5
  34. 12:24
  35. 84
  36. 49.5
  37. 25.5
  38. 51
  39. 11:34
  40. 79.5

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