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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 34 · 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 3:21? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 4 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  4. 4.A clock shows 4:08. What time will it show 124 minutes later? (a) 6:22 (b) 7:12 (c) 6:02 (d) 6:12
  5. 5.How many degrees does the minute hand of a clock turn in 22 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 37 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 121 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 37 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 142 minutes? =
  11. 11.A clock shows 12:31. What time will it show 116 minutes later? (a) 2:37 (b) 2:17 (c) 2:27 (d) 3:27
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 10 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 72 minutes? =
  19. 19.A clock shows 10:31. What time will it show 79 minutes later? (a) 11:40 (b) 11:50 (c) 12:50 (d) 12:00
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 6 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  25. 25.A clock shows 2:55. What time will it show 134 minutes later? (a) 5:19 (b) 4:59 (c) 5:09 (d) 6:09
  26. 26.A clock shows 1:25. What time will it show 146 minutes later? (a) 3:51 (b) 3:41 (c) 4:01 (d) 4:51
  27. 27.How many degrees does the minute hand of a clock turn in 32 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  29. 29.A clock shows 6:35. What time will it show 55 minutes later? (a) 7:30 (b) 8:30 (c) 7:20 (d) 7:40
  30. 30.A clock shows 4:17. What time will it show 53 minutes later? (a) 5:00 (b) 6:10 (c) 5:20 (d) 5:10
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 76 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 44 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 27 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 124 minutes? =
  37. 37.A clock shows 9:48. What time will it show 17 minutes later? (a) 11:05 (b) 9:55 (c) 10:15 (d) 10:05
  38. 38.How many degrees does the hour hand of a clock turn in 171 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  40. 40.A clock shows 9:05. What time will it show 63 minutes later? (a) 11:08 (b) 9:58 (c) 10:08 (d) 10:18

Answer key

  1. 25.5
  2. 24
  3. 74
  4. 6:12
  5. 132
  6. 222
  7. 94
  8. 60.5
  9. 18.5
  10. 71
  11. 2:27
  12. 89.5
  13. 42.5
  14. 60
  15. 6.5
  16. 115.5
  17. 124.5
  18. 36
  19. 11:50
  20. 100
  21. 176.5
  22. 95
  23. 36
  24. 103
  25. 5:09
  26. 3:51
  27. 192
  28. 96.5
  29. 7:30
  30. 5:10
  31. 24.5
  32. 38
  33. 264
  34. 5
  35. 162
  36. 62
  37. 10:05
  38. 85.5
  39. 37.5
  40. 10:08

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