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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 941 · 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 6:16. What time will it show 15 minutes later? (a) 6:41 (b) 7:31 (c) 6:21 (d) 6:31
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  3. 3.A clock shows 5:05. What time will it show 107 minutes later? (a) 7:02 (b) 7:52 (c) 6:52 (d) 6:42
  4. 4.A clock shows 12:11. What time will it show 48 minutes later? (a) 1:09 (b) 12:49 (c) 1:59 (d) 12:59
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 2 minutes? =
  8. 8.A clock shows 9:31. What time will it show 149 minutes later? (a) 12:00 (b) 12:10 (c) 1:00 (d) 11:50
  9. 9.How many degrees does the minute hand of a clock turn in 19 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 52 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 29 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  17. 17.A clock shows 5:16. What time will it show 148 minutes later? (a) 7:44 (b) 8:44 (c) 7:34 (d) 7:54
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  20. 20.A clock shows 2:43. What time will it show 55 minutes later? (a) 3:48 (b) 4:38 (c) 3:38 (d) 3:28
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 55 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 173 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 8 minutes? =
  25. 25.A clock shows 11:12. What time will it show 101 minutes later? (a) 1:53 (b) 12:43 (c) 12:53 (d) 1:03
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  27. 27.A clock shows 8:41. What time will it show 17 minutes later? (a) 8:48 (b) 8:58 (c) 9:08 (d) 9:58
  28. 28.How many degrees does the minute hand of a clock turn in 4 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  30. 30.A clock shows 6:10. What time will it show 45 minutes later? (a) 6:45 (b) 7:55 (c) 7:05 (d) 6:55
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  32. 32.A clock shows 7:10. What time will it show 30 minutes later? (a) 7:50 (b) 8:40 (c) 7:40 (d) 7:30
  33. 33.How many degrees does the hour hand of a clock turn in 36 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 12 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 24 minutes? =

Answer key

  1. 6:31
  2. 127.5
  3. 6:52
  4. 12:59
  5. 91.5
  6. 67
  7. 12
  8. 12:00
  9. 114
  10. 60.5
  11. 176
  12. 125.5
  13. 312
  14. 174
  15. 129.5
  16. 112.5
  17. 7:44
  18. 16
  19. 173
  20. 3:38
  21. 64.5
  22. 330
  23. 86.5
  24. 48
  25. 12:53
  26. 0
  27. 8:58
  28. 24
  29. 69.5
  30. 6:55
  31. 22
  32. 7:40
  33. 18
  34. 51
  35. 21.5
  36. 72
  37. 25
  38. 14.5
  39. 85
  40. 144

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