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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 887 · 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 40 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 99 minutes? =
  4. 4.A clock shows 9:20. What time will it show 112 minutes later? (a) 11:12 (b) 11:22 (c) 12:12 (d) 11:02
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 31 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 47 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 34 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 23 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 27 minutes? =
  14. 14.A clock shows 4:17. What time will it show 103 minutes later? (a) 7:00 (b) 6:00 (c) 5:50 (d) 6:10
  15. 15.How many degrees does the minute hand of a clock turn in 9 minutes? =
  16. 16.A clock shows 5:32. What time will it show 78 minutes later? (a) 7:50 (b) 6:40 (c) 7:00 (d) 6:50
  17. 17.How many degrees does the hour hand of a clock turn in 33 minutes? =
  18. 18.A clock shows 8:00. What time will it show 130 minutes later? (a) 11:10 (b) 10:10 (c) 10:20 (d) 10:00
  19. 19.A clock shows 10:49. What time will it show 83 minutes later? (a) 12:02 (b) 1:12 (c) 12:22 (d) 12:12
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
  21. 21.A clock shows 2:25. What time will it show 145 minutes later? (a) 5:00 (b) 4:40 (c) 5:50 (d) 4:50
  22. 22.How many degrees does the hour hand of a clock turn in 170 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  24. 24.A clock shows 3:29. What time will it show 17 minutes later? (a) 3:36 (b) 4:46 (c) 3:56 (d) 3:46
  25. 25.A clock shows 11:24. What time will it show 32 minutes later? (a) 11:46 (b) 12:06 (c) 12:56 (d) 11:56
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  29. 29.A clock shows 10:33. What time will it show 40 minutes later? (a) 12:13 (b) 11:13 (c) 11:03 (d) 11:23
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  31. 31.A clock shows 10:58. What time will it show 58 minutes later? (a) 12:06 (b) 11:46 (c) 11:56 (d) 12:56
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 21 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 19 minutes? =
  37. 37.A clock shows 3:57. What time will it show 10 minutes later? (a) 4:17 (b) 4:07 (c) 3:57 (d) 5:07
  38. 38.A clock shows 6:18. What time will it show 153 minutes later? (a) 9:01 (b) 8:41 (c) 9:51 (d) 8:51
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 14 minutes? =

Answer key

  1. 20
  2. 174
  3. 49.5
  4. 11:12
  5. 158
  6. 15.5
  7. 282
  8. 117.5
  9. 16.5
  10. 204
  11. 19.5
  12. 138
  13. 162
  14. 6:00
  15. 54
  16. 6:50
  17. 16.5
  18. 10:10
  19. 12:12
  20. 103.5
  21. 4:50
  22. 85
  23. 38.5
  24. 3:46
  25. 11:56
  26. 164.5
  27. 163
  28. 154
  29. 11:13
  30. 81
  31. 11:56
  32. 42.5
  33. 131
  34. 126
  35. 17.5
  36. 9.5
  37. 4:07
  38. 8:51
  39. 47
  40. 84

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