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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 537 · 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 3:16? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  4. 4.A clock shows 8:27. What time will it show 103 minutes later? (a) 11:10 (b) 10:10 (c) 10:20 (d) 10:00
  5. 5.How many degrees does the minute hand of a clock turn in 44 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  7. 7.A clock shows 12:00. What time will it show 37 minutes later? (a) 12:47 (b) 12:27 (c) 1:37 (d) 12:37
  8. 8.A clock shows 9:43. What time will it show 26 minutes later? (a) 10:09 (b) 11:09 (c) 10:19 (d) 9:59
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  10. 10.A clock shows 3:24. What time will it show 64 minutes later? (a) 4:38 (b) 4:18 (c) 5:28 (d) 4:28
  11. 11.How many degrees does the hour hand of a clock turn in 133 minutes? =
  12. 12.A clock shows 6:40. What time will it show 32 minutes later? (a) 7:12 (b) 7:02 (c) 7:22 (d) 8:12
  13. 13.How many degrees does the minute hand of a clock turn in 6 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  16. 16.A clock shows 2:44. What time will it show 34 minutes later? (a) 3:18 (b) 4:18 (c) 3:08 (d) 3:28
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  19. 19.A clock shows 9:51. What time will it show 14 minutes later? (a) 11:05 (b) 10:15 (c) 9:55 (d) 10:05
  20. 20.How many degrees does the hour hand of a clock turn in 117 minutes? =
  21. 21.A clock shows 8:01. What time will it show 130 minutes later? (a) 10:11 (b) 10:01 (c) 11:11 (d) 10:21
  22. 22.How many degrees does the hour hand of a clock turn in 17 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  25. 25.A clock shows 10:56. What time will it show 123 minutes later? (a) 1:59 (b) 1:09 (c) 12:49 (d) 12:59
  26. 26.A clock shows 10:49. What time will it show 136 minutes later? (a) 2:05 (b) 1:15 (c) 1:05 (d) 12:55
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  28. 28.A clock shows 11:45. What time will it show 126 minutes later? (a) 1:41 (b) 2:01 (c) 1:51 (d) 2:51
  29. 29.A clock shows 11:56. What time will it show 98 minutes later? (a) 2:34 (b) 1:24 (c) 1:34 (d) 1:44
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  31. 31.A clock shows 4:32. What time will it show 124 minutes later? (a) 7:36 (b) 6:46 (c) 6:26 (d) 6:36
  32. 32.A clock shows 2:33. What time will it show 57 minutes later? (a) 3:20 (b) 3:40 (c) 3:30 (d) 4:30
  33. 33.How many degrees does the minute hand of a clock turn in 16 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 41 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  38. 38.A clock shows 2:36. What time will it show 83 minutes later? (a) 4:59 (b) 3:59 (c) 4:09 (d) 3:49
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  40. 40.A clock shows 6:45. What time will it show 106 minutes later? (a) 8:31 (b) 8:41 (c) 8:21 (d) 9:31

Answer key

  1. 2
  2. 18.5
  3. 2.5
  4. 10:10
  5. 264
  6. 68
  7. 12:37
  8. 10:09
  9. 141.5
  10. 4:28
  11. 66.5
  12. 7:12
  13. 36
  14. 95.5
  15. 103
  16. 3:18
  17. 59
  18. 112.5
  19. 10:05
  20. 58.5
  21. 10:11
  22. 8.5
  23. 137
  24. 44
  25. 12:59
  26. 1:05
  27. 109.5
  28. 1:51
  29. 1:34
  30. 45
  31. 6:36
  32. 3:30
  33. 96
  34. 20.5
  35. 22
  36. 74.5
  37. 3
  38. 3:59
  39. 40.5
  40. 8:31

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