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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 774 · 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 9:33? (in degrees) =
  2. 2.A clock shows 1:19. What time will it show 49 minutes later? (a) 2:18 (b) 2:08 (c) 3:08 (d) 1:58
  3. 3.How many degrees does the minute hand of a clock turn in 50 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  5. 5.A clock shows 7:33. What time will it show 95 minutes later? (a) 9:18 (b) 10:08 (c) 8:58 (d) 9:08
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 137 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 31 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 121 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  11. 11.A clock shows 9:50. What time will it show 68 minutes later? (a) 11:08 (b) 10:48 (c) 10:58 (d) 11:58
  12. 12.How many degrees does the minute hand of a clock turn in 46 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  14. 14.A clock shows 3:40. What time will it show 51 minutes later? (a) 4:41 (b) 4:21 (c) 4:31 (d) 5:31
  15. 15.How many degrees does the minute hand of a clock turn in 21 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 33 minutes? =
  18. 18.A clock shows 3:53. What time will it show 37 minutes later? (a) 4:20 (b) 5:30 (c) 4:40 (d) 4:30
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  22. 22.A clock shows 2:22. What time will it show 119 minutes later? (a) 4:11 (b) 4:31 (c) 5:21 (d) 4:21
  23. 23.How many degrees does the hour hand of a clock turn in 26 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 38 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  28. 28.A clock shows 4:55. What time will it show 58 minutes later? (a) 5:53 (b) 5:43 (c) 6:03 (d) 6:53
  29. 29.A clock shows 2:23. What time will it show 36 minutes later? (a) 3:09 (b) 2:59 (c) 2:49 (d) 3:59
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  35. 35.A clock shows 7:04. What time will it show 129 minutes later? (a) 9:23 (b) 10:13 (c) 9:13 (d) 9:03
  36. 36.How many degrees does the minute hand of a clock turn in 55 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  38. 38.A clock shows 9:09. What time will it show 87 minutes later? (a) 10:26 (b) 11:36 (c) 10:36 (d) 10:46
  39. 39.A clock shows 4:41. What time will it show 50 minutes later? (a) 5:21 (b) 5:41 (c) 5:31 (d) 6:31
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =

Answer key

  1. 88.5
  2. 2:08
  3. 300
  4. 8
  5. 9:08
  6. 32
  7. 68.5
  8. 186
  9. 60.5
  10. 93
  11. 10:58
  12. 276
  13. 46.5
  14. 4:31
  15. 126
  16. 61
  17. 198
  18. 4:30
  19. 114.5
  20. 46
  21. 113
  22. 4:21
  23. 13
  24. 228
  25. 118.5
  26. 75
  27. 127.5
  28. 5:53
  29. 2:59
  30. 65
  31. 173.5
  32. 111
  33. 94.5
  34. 34
  35. 9:13
  36. 330
  37. 121
  38. 10:36
  39. 5:31
  40. 159.5

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