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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 787 · 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 1:05. What time will it show 104 minutes later? (a) 2:59 (b) 3:49 (c) 2:39 (d) 2:49
  2. 2.How many degrees does the minute hand of a clock turn in 56 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  4. 4.A clock shows 5:20. What time will it show 105 minutes later? (a) 8:05 (b) 6:55 (c) 7:15 (d) 7:05
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  8. 8.A clock shows 10:25. What time will it show 46 minutes later? (a) 11:21 (b) 12:11 (c) 11:11 (d) 11:01
  9. 9.A clock shows 5:26. What time will it show 56 minutes later? (a) 6:22 (b) 6:12 (c) 6:32 (d) 7:22
  10. 10.How many degrees does the minute hand of a clock turn in 37 minutes? =
  11. 11.A clock shows 8:16. What time will it show 137 minutes later? (a) 11:33 (b) 10:43 (c) 10:23 (d) 10:33
  12. 12.How many degrees does the hour hand of a clock turn in 125 minutes? =
  13. 13.A clock shows 10:59. What time will it show 101 minutes later? (a) 1:40 (b) 12:50 (c) 12:30 (d) 12:40
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  15. 15.A clock shows 10:12. What time will it show 74 minutes later? (a) 11:16 (b) 12:26 (c) 11:36 (d) 11:26
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 2 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  21. 21.A clock shows 10:35. What time will it show 14 minutes later? (a) 10:59 (b) 10:49 (c) 11:49 (d) 10:39
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  23. 23.A clock shows 6:50. What time will it show 29 minutes later? (a) 8:19 (b) 7:19 (c) 7:29 (d) 7:09
  24. 24.How many degrees does the minute hand of a clock turn in 43 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 36 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 42 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  31. 31.A clock shows 6:40. What time will it show 146 minutes later? (a) 8:56 (b) 9:06 (c) 9:16 (d) 10:06
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  34. 34.A clock shows 3:05. What time will it show 14 minutes later? (a) 4:19 (b) 3:29 (c) 3:19 (d) 3:09
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 40 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =

Answer key

  1. 2:49
  2. 336
  3. 84.5
  4. 7:05
  5. 18.5
  6. 37.5
  7. 102
  8. 11:11
  9. 6:22
  10. 222
  11. 10:33
  12. 62.5
  13. 12:40
  14. 166.5
  15. 11:26
  16. 140
  17. 108
  18. 12
  19. 128.5
  20. 105.5
  21. 10:49
  22. 89.5
  23. 7:19
  24. 258
  25. 18
  26. 179
  27. 252
  28. 155.5
  29. 12
  30. 9
  31. 9:06
  32. 85
  33. 30
  34. 3:19
  35. 58.5
  36. 31.5
  37. 93
  38. 240
  39. 144.5
  40. 101

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