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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 63 · 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 4:49? (in degrees) =
  2. 2.A clock shows 1:53. What time will it show 130 minutes later? (a) 3:53 (b) 4:13 (c) 5:03 (d) 4:03
  3. 3.A clock shows 7:42. What time will it show 32 minutes later? (a) 9:14 (b) 8:24 (c) 8:14 (d) 8:04
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 9 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 54 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 154 minutes? =
  9. 9.A clock shows 2:04. What time will it show 62 minutes later? (a) 3:06 (b) 4:06 (c) 3:16 (d) 2:56
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  12. 12.A clock shows 8:47. What time will it show 135 minutes later? (a) 10:52 (b) 11:12 (c) 11:02 (d) 12:02
  13. 13.A clock shows 4:33. What time will it show 107 minutes later? (a) 6:20 (b) 7:20 (c) 6:10 (d) 6:30
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 153 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 47 minutes? =
  19. 19.A clock shows 2:23. What time will it show 120 minutes later? (a) 5:23 (b) 4:33 (c) 4:13 (d) 4:23
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 10 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  23. 23.A clock shows 3:58. What time will it show 142 minutes later? (a) 6:30 (b) 7:20 (c) 6:20 (d) 6:10
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  25. 25.A clock shows 3:27. What time will it show 91 minutes later? (a) 5:08 (b) 4:48 (c) 4:58 (d) 5:58
  26. 26.A clock shows 12:42. What time will it show 88 minutes later? (a) 2:20 (b) 3:10 (c) 2:10 (d) 2:00
  27. 27.How many degrees does the hour hand of a clock turn in 33 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 125 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  30. 30.A clock shows 12:49. What time will it show 41 minutes later? (a) 1:40 (b) 1:30 (c) 2:30 (d) 1:20
  31. 31.How many degrees does the hour hand of a clock turn in 96 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  34. 34.A clock shows 9:15. What time will it show 13 minutes later? (a) 9:28 (b) 9:38 (c) 10:28 (d) 9:18
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  36. 36.A clock shows 4:26. What time will it show 125 minutes later? (a) 6:41 (b) 6:31 (c) 7:31 (d) 6:21
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  38. 38.A clock shows 5:59. What time will it show 139 minutes later? (a) 8:08 (b) 8:28 (c) 8:18 (d) 9:18
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =

Answer key

  1. 149.5
  2. 4:03
  3. 8:14
  4. 24.5
  5. 120
  6. 54
  7. 27
  8. 77
  9. 3:06
  10. 140.5
  11. 38
  12. 11:02
  13. 6:20
  14. 122.5
  15. 135.5
  16. 76.5
  17. 8
  18. 23.5
  19. 4:23
  20. 59.5
  21. 5
  22. 100
  23. 6:20
  24. 156.5
  25. 4:58
  26. 2:10
  27. 16.5
  28. 62.5
  29. 40.5
  30. 1:30
  31. 48
  32. 90.5
  33. 167.5
  34. 9:28
  35. 123.5
  36. 6:31
  37. 65
  38. 8:18
  39. 91.5
  40. 24

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