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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 138 · 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.How many degrees does the hour hand of a clock turn in 82 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  4. 4.A clock shows 5:49. What time will it show 150 minutes later? (a) 8:09 (b) 9:19 (c) 8:29 (d) 8:19
  5. 5.How many degrees does the minute hand of a clock turn in 34 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 41 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 13 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  10. 10.A clock shows 5:52. What time will it show 10 minutes later? (a) 6:02 (b) 5:52 (c) 7:02 (d) 6:12
  11. 11.How many degrees does the minute hand of a clock turn in 38 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 45 minutes? =
  13. 13.A clock shows 11:34. What time will it show 136 minutes later? (a) 2:00 (b) 2:50 (c) 1:50 (d) 1:40
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  15. 15.A clock shows 7:01. What time will it show 29 minutes later? (a) 8:30 (b) 7:40 (c) 7:30 (d) 7:20
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 4 minutes? =
  18. 18.A clock shows 3:37. What time will it show 113 minutes later? (a) 5:20 (b) 6:30 (c) 5:40 (d) 5:30
  19. 19.A clock shows 4:59. What time will it show 139 minutes later? (a) 8:18 (b) 7:08 (c) 7:28 (d) 7:18
  20. 20.How many degrees does the hour hand of a clock turn in 121 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 155 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 48 minutes? =
  24. 24.A clock shows 8:10. What time will it show 96 minutes later? (a) 10:46 (b) 9:46 (c) 9:56 (d) 9:36
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  26. 26.A clock shows 4:53. What time will it show 168 minutes later? (a) 7:51 (b) 7:31 (c) 7:41 (d) 8:41
  27. 27.How many degrees does the minute hand of a clock turn in 37 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 41 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 7 minutes? =
  30. 30.A clock shows 6:01. What time will it show 17 minutes later? (a) 7:18 (b) 6:18 (c) 6:28 (d) 6:08
  31. 31.How many degrees does the minute hand of a clock turn in 40 minutes? =
  32. 32.A clock shows 9:37. What time will it show 148 minutes later? (a) 12:05 (b) 12:15 (c) 11:55 (d) 1:05
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  36. 36.A clock shows 6:18. What time will it show 62 minutes later? (a) 7:30 (b) 8:20 (c) 7:20 (d) 7:10
  37. 37.How many degrees does the minute hand of a clock turn in 56 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 45 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =

Answer key

  1. 41
  2. 113.5
  3. 110
  4. 8:19
  5. 204
  6. 246
  7. 145.5
  8. 78
  9. 12.5
  10. 6:02
  11. 228
  12. 22.5
  13. 1:50
  14. 72
  15. 7:30
  16. 4
  17. 24
  18. 5:30
  19. 7:18
  20. 60.5
  21. 78
  22. 77.5
  23. 288
  24. 9:46
  25. 81.5
  26. 7:41
  27. 222
  28. 20.5
  29. 42
  30. 6:18
  31. 240
  32. 12:05
  33. 12.5
  34. 3
  35. 54
  36. 7:20
  37. 336
  38. 62.5
  39. 270
  40. 134.5

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