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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 601 · 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 2:59. What time will it show 104 minutes later? (a) 5:43 (b) 4:53 (c) 4:33 (d) 4:43
  2. 2.A clock shows 6:59. What time will it show 168 minutes later? (a) 9:47 (b) 9:37 (c) 9:57 (d) 10:47
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  4. 4.A clock shows 5:15. What time will it show 134 minutes later? (a) 7:29 (b) 7:39 (c) 7:19 (d) 8:29
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  7. 7.A clock shows 2:02. What time will it show 63 minutes later? (a) 3:15 (b) 4:05 (c) 3:05 (d) 2:55
  8. 8.How many degrees does the minute hand of a clock turn in 30 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 20 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 11 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 170 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 91 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  17. 17.A clock shows 7:29. What time will it show 75 minutes later? (a) 8:34 (b) 8:44 (c) 8:54 (d) 9:44
  18. 18.A clock shows 7:54. What time will it show 101 minutes later? (a) 9:45 (b) 10:35 (c) 9:35 (d) 9:25
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 94 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 53 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  26. 26.A clock shows 4:51. What time will it show 71 minutes later? (a) 7:02 (b) 5:52 (c) 6:02 (d) 6:12
  27. 27.How many degrees does the minute hand of a clock turn in 58 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  29. 29.A clock shows 12:11. What time will it show 27 minutes later? (a) 12:48 (b) 12:38 (c) 12:28 (d) 1:38
  30. 30.How many degrees does the minute hand of a clock turn in 18 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 134 minutes? =
  33. 33.A clock shows 7:10. What time will it show 34 minutes later? (a) 7:44 (b) 7:34 (c) 8:44 (d) 7:54
  34. 34.How many degrees does the minute hand of a clock turn in 45 minutes? =
  35. 35.A clock shows 11:48. What time will it show 34 minutes later? (a) 12:32 (b) 12:12 (c) 12:22 (d) 1:22
  36. 36.How many degrees does the hour hand of a clock turn in 130 minutes? =
  37. 37.A clock shows 1:53. What time will it show 124 minutes later? (a) 4:07 (b) 3:47 (c) 3:57 (d) 4:57
  38. 38.A clock shows 1:24. What time will it show 37 minutes later? (a) 3:01 (b) 1:51 (c) 2:01 (d) 2:11
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  40. 40.A clock shows 9:37. What time will it show 42 minutes later? (a) 10:19 (b) 10:29 (c) 10:09 (d) 11:19

Answer key

  1. 4:43
  2. 9:47
  3. 87.5
  4. 7:29
  5. 129.5
  6. 19
  7. 3:05
  8. 180
  9. 154
  10. 120
  11. 66
  12. 85
  13. 45.5
  14. 37
  15. 121.5
  16. 170.5
  17. 8:44
  18. 9:35
  19. 174.5
  20. 100.5
  21. 175
  22. 47
  23. 26.5
  24. 52.5
  25. 105
  26. 6:02
  27. 348
  28. 114.5
  29. 12:38
  30. 108
  31. 59.5
  32. 67
  33. 7:44
  34. 270
  35. 12:22
  36. 65
  37. 3:57
  38. 2:01
  39. 51
  40. 10:19

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