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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 511 · 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 8:07? (in degrees) =
  2. 2.A clock shows 8:12. What time will it show 99 minutes later? (a) 9:51 (b) 10:51 (c) 10:01 (d) 9:41
  3. 3.A clock shows 10:25. What time will it show 123 minutes later? (a) 12:28 (b) 12:38 (c) 1:28 (d) 12:18
  4. 4.How many degrees does the minute hand of a clock turn in 26 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 97 minutes? =
  6. 6.A clock shows 3:19. What time will it show 14 minutes later? (a) 3:33 (b) 3:23 (c) 3:43 (d) 4:33
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  9. 9.A clock shows 11:06. What time will it show 127 minutes later? (a) 1:23 (b) 1:03 (c) 2:13 (d) 1:13
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  11. 11.A clock shows 10:47. What time will it show 106 minutes later? (a) 12:43 (b) 12:33 (c) 1:33 (d) 12:23
  12. 12.A clock shows 5:30. What time will it show 12 minutes later? (a) 5:52 (b) 6:42 (c) 5:42 (d) 5:32
  13. 13.How many degrees does the hour hand of a clock turn in 166 minutes? =
  14. 14.A clock shows 2:49. What time will it show 165 minutes later? (a) 5:24 (b) 5:44 (c) 6:34 (d) 5:34
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 179 minutes? =
  17. 17.A clock shows 4:11. What time will it show 30 minutes later? (a) 4:41 (b) 4:51 (c) 4:31 (d) 5:41
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  19. 19.A clock shows 2:33. What time will it show 39 minutes later? (a) 3:22 (b) 3:02 (c) 4:12 (d) 3:12
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  21. 21.A clock shows 10:53. What time will it show 140 minutes later? (a) 2:13 (b) 1:13 (c) 1:23 (d) 1:03
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  23. 23.A clock shows 12:07. What time will it show 161 minutes later? (a) 2:58 (b) 3:48 (c) 2:38 (d) 2:48
  24. 24.A clock shows 1:24. What time will it show 78 minutes later? (a) 2:52 (b) 2:32 (c) 2:42 (d) 3:42
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 32 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  29. 29.A clock shows 8:37. What time will it show 129 minutes later? (a) 10:36 (b) 10:56 (c) 11:46 (d) 10:46
  30. 30.How many degrees does the hour hand of a clock turn in 177 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 5 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 104 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 131 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 83 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  39. 39.A clock shows 1:18. What time will it show 96 minutes later? (a) 3:54 (b) 3:04 (c) 2:54 (d) 2:44
  40. 40.How many degrees does the minute hand of a clock turn in 33 minutes? =

Answer key

  1. 158.5
  2. 9:51
  3. 12:28
  4. 156
  5. 48.5
  6. 3:33
  7. 92.5
  8. 117.5
  9. 1:13
  10. 82
  11. 12:33
  12. 5:42
  13. 83
  14. 5:34
  15. 94
  16. 89.5
  17. 4:41
  18. 36
  19. 3:12
  20. 64
  21. 1:13
  22. 150
  23. 2:48
  24. 2:42
  25. 128
  26. 63
  27. 16
  28. 84.5
  29. 10:46
  30. 88.5
  31. 76.5
  32. 30
  33. 52
  34. 47.5
  35. 65.5
  36. 41.5
  37. 36
  38. 153
  39. 2:54
  40. 198

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