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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 192 · 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 8:00? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  3. 3.A clock shows 2:52. What time will it show 45 minutes later? (a) 3:27 (b) 4:37 (c) 3:37 (d) 3:47
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 114 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 135 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 141 minutes? =
  9. 9.A clock shows 8:38. What time will it show 115 minutes later? (a) 10:43 (b) 11:33 (c) 10:33 (d) 10:23
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 154 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  13. 13.A clock shows 3:03. What time will it show 111 minutes later? (a) 5:04 (b) 4:54 (c) 5:54 (d) 4:44
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  15. 15.A clock shows 11:24. What time will it show 80 minutes later? (a) 1:44 (b) 12:54 (c) 12:34 (d) 12:44
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 48 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 117 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 16 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 18 minutes? =
  22. 22.A clock shows 1:34. What time will it show 16 minutes later? (a) 2:00 (b) 2:50 (c) 1:40 (d) 1:50
  23. 23.A clock shows 8:26. What time will it show 54 minutes later? (a) 9:30 (b) 10:20 (c) 9:20 (d) 9:10
  24. 24.How many degrees does the minute hand of a clock turn in 11 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 57 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 3 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 23 minutes? =
  28. 28.A clock shows 1:36. What time will it show 27 minutes later? (a) 3:03 (b) 1:53 (c) 2:03 (d) 2:13
  29. 29.How many degrees does the minute hand of a clock turn in 32 minutes? =
  30. 30.A clock shows 12:53. What time will it show 121 minutes later? (a) 2:44 (b) 3:54 (c) 3:04 (d) 2:54
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 21 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 179 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
  37. 37.A clock shows 12:51. What time will it show 34 minutes later? (a) 2:25 (b) 1:15 (c) 1:35 (d) 1:25
  38. 38.How many degrees does the hour hand of a clock turn in 161 minutes? =
  39. 39.A clock shows 5:58. What time will it show 44 minutes later? (a) 6:32 (b) 6:42 (c) 6:52 (d) 7:42
  40. 40.A clock shows 8:31. What time will it show 88 minutes later? (a) 9:49 (b) 9:59 (c) 10:59 (d) 10:09

Answer key

  1. 120
  2. 80.5
  3. 3:37
  4. 75
  5. 57
  6. 86.5
  7. 67.5
  8. 70.5
  9. 10:33
  10. 45.5
  11. 77
  12. 142.5
  13. 4:54
  14. 124
  15. 12:44
  16. 107.5
  17. 78
  18. 288
  19. 58.5
  20. 96
  21. 108
  22. 1:50
  23. 9:20
  24. 66
  25. 342
  26. 18
  27. 138
  28. 2:03
  29. 192
  30. 2:54
  31. 109.5
  32. 10.5
  33. 17
  34. 89.5
  35. 141.5
  36. 113
  37. 1:25
  38. 80.5
  39. 6:42
  40. 9:59

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