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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 437 · 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.A clock shows 11:13. What time will it show 82 minutes later? (a) 12:45 (b) 12:25 (c) 1:35 (d) 12:35
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  7. 7.A clock shows 12:50. What time will it show 131 minutes later? (a) 3:01 (b) 4:01 (c) 3:11 (d) 2:51
  8. 8.A clock shows 8:04. What time will it show 84 minutes later? (a) 9:38 (b) 9:28 (c) 9:18 (d) 10:28
  9. 9.How many degrees does the minute hand of a clock turn in 3 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 170 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 69 minutes? =
  13. 13.A clock shows 12:47. What time will it show 151 minutes later? (a) 4:18 (b) 3:08 (c) 3:28 (d) 3:18
  14. 14.A clock shows 5:15. What time will it show 79 minutes later? (a) 6:34 (b) 7:34 (c) 6:24 (d) 6:44
  15. 15.How many degrees does the hour hand of a clock turn in 67 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 43 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 46 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 51 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  20. 20.A clock shows 6:22. What time will it show 64 minutes later? (a) 7:16 (b) 7:36 (c) 7:26 (d) 8:26
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  25. 25.A clock shows 3:14. What time will it show 128 minutes later? (a) 5:12 (b) 5:32 (c) 6:22 (d) 5:22
  26. 26.How many degrees does the hour hand of a clock turn in 162 minutes? =
  27. 27.A clock shows 1:55. What time will it show 22 minutes later? (a) 2:17 (b) 3:17 (c) 2:07 (d) 2:27
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 27 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  35. 35.A clock shows 1:14. What time will it show 59 minutes later? (a) 3:13 (b) 2:03 (c) 2:13 (d) 2:23
  36. 36.A clock shows 4:45. What time will it show 86 minutes later? (a) 6:01 (b) 6:21 (c) 6:11 (d) 7:11
  37. 37.A clock shows 9:06. What time will it show 159 minutes later? (a) 11:55 (b) 12:45 (c) 11:35 (d) 11:45
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  39. 39.A clock shows 1:41. What time will it show 109 minutes later? (a) 4:30 (b) 3:20 (c) 3:30 (d) 3:40
  40. 40.A clock shows 3:45. What time will it show 165 minutes later? (a) 7:30 (b) 6:20 (c) 6:30 (d) 6:40

Answer key

  1. 12:35
  2. 152.5
  3. 99
  4. 20
  5. 87
  6. 8
  7. 3:01
  8. 9:28
  9. 18
  10. 85
  11. 81.5
  12. 34.5
  13. 3:18
  14. 6:34
  15. 33.5
  16. 21.5
  17. 276
  18. 306
  19. 94.5
  20. 7:26
  21. 117
  22. 35.5
  23. 75.5
  24. 96.5
  25. 5:22
  26. 81
  27. 2:17
  28. 71.5
  29. 115
  30. 5.5
  31. 162
  32. 95
  33. 49
  34. 119.5
  35. 2:13
  36. 6:11
  37. 11:45
  38. 80
  39. 3:30
  40. 6:30

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