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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 333 · 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 3:59? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 70 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 56 minutes? =
  5. 5.A clock shows 7:01. What time will it show 158 minutes later? (a) 9:49 (b) 9:29 (c) 9:39 (d) 10:39
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  7. 7.A clock shows 6:21. What time will it show 30 minutes later? (a) 7:51 (b) 7:01 (c) 6:51 (d) 6:41
  8. 8.A clock shows 2:37. What time will it show 58 minutes later? (a) 4:35 (b) 3:25 (c) 3:35 (d) 3:45
  9. 9.How many degrees does the hour hand of a clock turn in 93 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  11. 11.A clock shows 11:27. What time will it show 16 minutes later? (a) 12:43 (b) 11:33 (c) 11:43 (d) 11:53
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  13. 13.A clock shows 12:17. What time will it show 154 minutes later? (a) 3:01 (b) 3:51 (c) 2:51 (d) 2:41
  14. 14.A clock shows 4:40. What time will it show 44 minutes later? (a) 5:34 (b) 5:14 (c) 5:24 (d) 6:24
  15. 15.A clock shows 1:58. What time will it show 46 minutes later? (a) 2:54 (b) 3:44 (c) 2:44 (d) 2:34
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  19. 19.A clock shows 7:56. What time will it show 12 minutes later? (a) 7:58 (b) 9:08 (c) 8:18 (d) 8:08
  20. 20.A clock shows 2:14. What time will it show 24 minutes later? (a) 2:28 (b) 2:48 (c) 3:38 (d) 2:38
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  22. 22.A clock shows 11:02. What time will it show 119 minutes later? (a) 1:11 (b) 12:51 (c) 1:01 (d) 2:01
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  24. 24.A clock shows 10:29. What time will it show 133 minutes later? (a) 12:32 (b) 1:42 (c) 12:52 (d) 12:42
  25. 25.How many degrees does the minute hand of a clock turn in 8 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 165 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  31. 31.A clock shows 11:18. What time will it show 115 minutes later? (a) 1:03 (b) 2:13 (c) 1:13 (d) 1:23
  32. 32.How many degrees does the minute hand of a clock turn in 24 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  35. 35.A clock shows 8:51. What time will it show 68 minutes later? (a) 9:49 (b) 10:59 (c) 9:59 (d) 10:09
  36. 36.A clock shows 1:54. What time will it show 105 minutes later? (a) 3:39 (b) 3:49 (c) 3:29 (d) 4:39
  37. 37.A clock shows 1:02. What time will it show 168 minutes later? (a) 3:50 (b) 3:40 (c) 4:50 (d) 4:00
  38. 38.A clock shows 7:20. What time will it show 55 minutes later? (a) 9:15 (b) 8:05 (c) 8:15 (d) 8:25
  39. 39.How many degrees does the minute hand of a clock turn in 48 minutes? =
  40. 40.A clock shows 4:50. What time will it show 82 minutes later? (a) 7:12 (b) 6:02 (c) 6:12 (d) 6:22

Answer key

  1. 125.5
  2. 35
  3. 126.5
  4. 336
  5. 9:39
  6. 136.5
  7. 6:51
  8. 3:35
  9. 46.5
  10. 0.5
  11. 11:43
  12. 112
  13. 2:51
  14. 5:24
  15. 2:44
  16. 59.5
  17. 62
  18. 109.5
  19. 8:08
  20. 2:38
  21. 60.5
  22. 1:01
  23. 92.5
  24. 12:42
  25. 48
  26. 95.5
  27. 82.5
  28. 116.5
  29. 2
  30. 98.5
  31. 1:13
  32. 144
  33. 158
  34. 89.5
  35. 9:59
  36. 3:39
  37. 3:50
  38. 8:15
  39. 288
  40. 6:12

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