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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 191 · 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 6:38? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  3. 3.A clock shows 1:11. What time will it show 93 minutes later? (a) 2:44 (b) 2:34 (c) 2:54 (d) 3:44
  4. 4.How many degrees does the hour hand of a clock turn in 111 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  7. 7.A clock shows 8:55. What time will it show 113 minutes later? (a) 10:48 (b) 11:48 (c) 10:58 (d) 10:38
  8. 8.A clock shows 12:13. What time will it show 33 minutes later? (a) 12:46 (b) 12:36 (c) 12:56 (d) 1:46
  9. 9.A clock shows 2:38. What time will it show 82 minutes later? (a) 3:50 (b) 4:00 (c) 4:10 (d) 5:00
  10. 10.How many degrees does the minute hand of a clock turn in 42 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  13. 13.A clock shows 3:03. What time will it show 127 minutes later? (a) 6:10 (b) 5:00 (c) 5:20 (d) 5:10
  14. 14.How many degrees does the minute hand of a clock turn in 12 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  16. 16.A clock shows 9:26. What time will it show 16 minutes later? (a) 9:32 (b) 9:52 (c) 10:42 (d) 9:42
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  19. 19.A clock shows 7:59. What time will it show 62 minutes later? (a) 9:01 (b) 10:01 (c) 8:51 (d) 9:11
  20. 20.How many degrees does the hour hand of a clock turn in 74 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 40 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 2 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 139 minutes? =
  24. 24.A clock shows 9:33. What time will it show 162 minutes later? (a) 12:25 (b) 1:15 (c) 12:05 (d) 12:15
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  26. 26.A clock shows 4:31. What time will it show 98 minutes later? (a) 6:19 (b) 6:09 (c) 7:09 (d) 5:59
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 51 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 41 minutes? =
  31. 31.A clock shows 3:37. What time will it show 151 minutes later? (a) 6:08 (b) 5:58 (c) 6:18 (d) 7:08
  32. 32.How many degrees does the minute hand of a clock turn in 29 minutes? =
  33. 33.A clock shows 11:57. What time will it show 84 minutes later? (a) 1:11 (b) 1:31 (c) 2:21 (d) 1:21
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 162 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  38. 38.A clock shows 1:23. What time will it show 166 minutes later? (a) 4:09 (b) 4:19 (c) 3:59 (d) 5:09
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =

Answer key

  1. 29
  2. 104
  3. 2:44
  4. 55.5
  5. 62.5
  6. 111.5
  7. 10:48
  8. 12:46
  9. 4:00
  10. 252
  11. 32.5
  12. 29.5
  13. 5:10
  14. 72
  15. 148
  16. 9:42
  17. 160
  18. 154.5
  19. 9:01
  20. 37
  21. 240
  22. 12
  23. 69.5
  24. 12:15
  25. 160.5
  26. 6:09
  27. 118
  28. 306
  29. 45
  30. 20.5
  31. 6:08
  32. 174
  33. 1:21
  34. 82
  35. 12.5
  36. 81
  37. 131.5
  38. 4:09
  39. 19.5
  40. 151.5

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