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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 396 · 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 12:21? (in degrees) =
  2. 2.A clock shows 2:18. What time will it show 67 minutes later? (a) 4:25 (b) 3:25 (c) 3:35 (d) 3:15
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 53 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 20 minutes? =
  6. 6.A clock shows 6:02. What time will it show 19 minutes later? (a) 6:11 (b) 6:21 (c) 6:31 (d) 7:21
  7. 7.How many degrees does the minute hand of a clock turn in 51 minutes? =
  8. 8.A clock shows 1:48. What time will it show 33 minutes later? (a) 2:31 (b) 2:21 (c) 2:11 (d) 3:21
  9. 9.A clock shows 12:58. What time will it show 79 minutes later? (a) 3:17 (b) 2:27 (c) 2:17 (d) 2:07
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  12. 12.A clock shows 12:06. What time will it show 158 minutes later? (a) 2:34 (b) 2:44 (c) 3:44 (d) 2:54
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 97 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 9 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  17. 17.A clock shows 11:58. What time will it show 123 minutes later? (a) 2:11 (b) 1:51 (c) 3:01 (d) 2:01
  18. 18.How many degrees does the minute hand of a clock turn in 58 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  20. 20.A clock shows 9:30. What time will it show 156 minutes later? (a) 11:56 (b) 1:06 (c) 12:06 (d) 12:16
  21. 21.A clock shows 2:12. What time will it show 30 minutes later? (a) 2:52 (b) 3:42 (c) 2:32 (d) 2:42
  22. 22.A clock shows 9:40. What time will it show 46 minutes later? (a) 11:26 (b) 10:16 (c) 10:26 (d) 10:36
  23. 23.A clock shows 1:13. What time will it show 123 minutes later? (a) 4:16 (b) 3:06 (c) 3:16 (d) 3:26
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  25. 25.A clock shows 4:34. What time will it show 22 minutes later? (a) 4:56 (b) 4:46 (c) 5:56 (d) 5:06
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  27. 27.A clock shows 9:05. What time will it show 25 minutes later? (a) 10:30 (b) 9:20 (c) 9:30 (d) 9:40
  28. 28.How many degrees does the hour hand of a clock turn in 96 minutes? =
  29. 29.A clock shows 2:57. What time will it show 80 minutes later? (a) 4:17 (b) 5:17 (c) 4:27 (d) 4:07
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 109 minutes? =
  32. 32.A clock shows 2:09. What time will it show 65 minutes later? (a) 3:04 (b) 3:14 (c) 3:24 (d) 4:14
  33. 33.How many degrees does the hour hand of a clock turn in 162 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 13 minutes? =
  36. 36.A clock shows 9:06. What time will it show 96 minutes later? (a) 10:32 (b) 10:52 (c) 11:42 (d) 10:42
  37. 37.How many degrees does the hour hand of a clock turn in 25 minutes? =
  38. 38.A clock shows 7:41. What time will it show 89 minutes later? (a) 9:10 (b) 9:20 (c) 9:00 (d) 10:10
  39. 39.A clock shows 11:25. What time will it show 95 minutes later? (a) 1:10 (b) 12:50 (c) 2:00 (d) 1:00
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =

Answer key

  1. 115.5
  2. 3:25
  3. 59.5
  4. 318
  5. 120
  6. 6:21
  7. 306
  8. 2:21
  9. 2:17
  10. 36.5
  11. 21.5
  12. 2:44
  13. 114.5
  14. 48.5
  15. 54
  16. 136.5
  17. 2:01
  18. 348
  19. 88
  20. 12:06
  21. 2:42
  22. 10:26
  23. 3:16
  24. 135.5
  25. 4:56
  26. 63
  27. 9:30
  28. 48
  29. 4:17
  30. 158.5
  31. 54.5
  32. 3:14
  33. 81
  34. 65
  35. 78
  36. 10:42
  37. 12.5
  38. 9:10
  39. 1:00
  40. 1.5

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