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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 480 · 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.A clock shows 2:16. What time will it show 27 minutes later? (a) 2:53 (b) 3:43 (c) 2:43 (d) 2:33
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 127 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 12 minutes? =
  5. 5.A clock shows 6:43. What time will it show 142 minutes later? (a) 9:15 (b) 9:05 (c) 8:55 (d) 10:05
  6. 6.How many degrees does the hour hand of a clock turn in 90 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 46 minutes? =
  8. 8.A clock shows 8:32. What time will it show 58 minutes later? (a) 9:40 (b) 9:20 (c) 10:30 (d) 9:30
  9. 9.How many degrees does the minute hand of a clock turn in 54 minutes? =
  10. 10.A clock shows 10:16. What time will it show 162 minutes later? (a) 12:58 (b) 12:48 (c) 1:58 (d) 1:08
  11. 11.How many degrees does the minute hand of a clock turn in 35 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 99 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  14. 14.A clock shows 8:10. What time will it show 76 minutes later? (a) 9:26 (b) 9:16 (c) 9:36 (d) 10:26
  15. 15.How many degrees does the minute hand of a clock turn in 5 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 7 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 20 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 28 minutes? =
  22. 22.A clock shows 1:10. What time will it show 102 minutes later? (a) 3:52 (b) 3:02 (c) 2:52 (d) 2:42
  23. 23.A clock shows 4:46. What time will it show 80 minutes later? (a) 5:56 (b) 6:16 (c) 7:06 (d) 6:06
  24. 24.How many degrees does the hour hand of a clock turn in 165 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 93 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 27 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 16 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  35. 35.A clock shows 8:03. What time will it show 44 minutes later? (a) 8:57 (b) 9:47 (c) 8:37 (d) 8:47
  36. 36.How many degrees does the hour hand of a clock turn in 26 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 137 minutes? =
  38. 38.A clock shows 12:46. What time will it show 124 minutes later? (a) 2:50 (b) 3:00 (c) 3:50 (d) 2:40
  39. 39.How many degrees does the hour hand of a clock turn in 150 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 13 minutes? =

Answer key

  1. 2:43
  2. 80
  3. 63.5
  4. 72
  5. 9:05
  6. 45
  7. 276
  8. 9:30
  9. 324
  10. 12:58
  11. 210
  12. 49.5
  13. 10
  14. 9:26
  15. 30
  16. 42
  17. 0.5
  18. 121.5
  19. 120
  20. 143.5
  21. 168
  22. 2:52
  23. 6:06
  24. 82.5
  25. 76
  26. 62
  27. 46.5
  28. 83
  29. 38.5
  30. 162
  31. 26
  32. 96
  33. 116.5
  34. 154.5
  35. 8:47
  36. 13
  37. 68.5
  38. 2:50
  39. 75
  40. 78

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