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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 743 · 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 4:17? (in degrees) =
  2. 2.A clock shows 8:26. What time will it show 82 minutes later? (a) 9:38 (b) 10:48 (c) 9:58 (d) 9:48
  3. 3.How many degrees does the hour hand of a clock turn in 91 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 25 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 28 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 49 minutes? =
  8. 8.A clock shows 12:44. What time will it show 29 minutes later? (a) 1:13 (b) 1:23 (c) 2:13 (d) 1:03
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 26 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 156 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 24 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 35 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 10 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 24 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 42 minutes? =
  24. 24.A clock shows 10:29. What time will it show 164 minutes later? (a) 1:03 (b) 1:13 (c) 2:13 (d) 1:23
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 100 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 121 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 15 minutes? =
  29. 29.A clock shows 6:02. What time will it show 62 minutes later? (a) 6:54 (b) 7:04 (c) 7:14 (d) 8:04
  30. 30.How many degrees does the hour hand of a clock turn in 98 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 23 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  36. 36.A clock shows 10:41. What time will it show 118 minutes later? (a) 1:39 (b) 12:39 (c) 12:29 (d) 12:49
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  38. 38.A clock shows 9:48. What time will it show 123 minutes later? (a) 12:51 (b) 12:01 (c) 11:41 (d) 11:51
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =

Answer key

  1. 26.5
  2. 9:48
  3. 45.5
  4. 110.5
  5. 150
  6. 168
  7. 294
  8. 1:13
  9. 100.5
  10. 24.5
  11. 156
  12. 58
  13. 139.5
  14. 78
  15. 97
  16. 144
  17. 52
  18. 210
  19. 5
  20. 29
  21. 12
  22. 94.5
  23. 21
  24. 1:13
  25. 32.5
  26. 50
  27. 60.5
  28. 90
  29. 7:04
  30. 49
  31. 160
  32. 109
  33. 138
  34. 58.5
  35. 54.5
  36. 12:39
  37. 126
  38. 11:51
  39. 55.5
  40. 138

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