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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 292 · 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 2:26. What time will it show 87 minutes later? (a) 4:53 (b) 4:03 (c) 3:43 (d) 3:53
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 100 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  10. 10.A clock shows 8:05. What time will it show 104 minutes later? (a) 10:49 (b) 9:49 (c) 9:59 (d) 9:39
  11. 11.How many degrees does the minute hand of a clock turn in 54 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 29 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 12 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 19 minutes? =
  16. 16.A clock shows 5:45. What time will it show 84 minutes later? (a) 7:19 (b) 8:09 (c) 6:59 (d) 7:09
  17. 17.A clock shows 11:11. What time will it show 88 minutes later? (a) 12:29 (b) 1:39 (c) 12:39 (d) 12:49
  18. 18.A clock shows 11:41. What time will it show 10 minutes later? (a) 11:51 (b) 12:51 (c) 12:01 (d) 11:41
  19. 19.How many degrees does the hour hand of a clock turn in 10 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 58 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  22. 22.A clock shows 7:17. What time will it show 52 minutes later? (a) 8:19 (b) 9:09 (c) 7:59 (d) 8:09
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  25. 25.A clock shows 6:32. What time will it show 44 minutes later? (a) 8:16 (b) 7:16 (c) 7:26 (d) 7:06
  26. 26.A clock shows 8:41. What time will it show 68 minutes later? (a) 9:59 (b) 9:39 (c) 10:49 (d) 9:49
  27. 27.How many degrees does the minute hand of a clock turn in 42 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 40 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 23 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  34. 34.A clock shows 2:31. What time will it show 25 minutes later? (a) 2:46 (b) 2:56 (c) 3:06 (d) 3:56
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  36. 36.A clock shows 12:08. What time will it show 116 minutes later? (a) 2:04 (b) 2:14 (c) 3:04 (d) 1:54
  37. 37.How many degrees does the minute hand of a clock turn in 28 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 21 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 10 minutes? =

Answer key

  1. 3:53
  2. 114.5
  3. 31.5
  4. 71.5
  5. 45
  6. 50
  7. 37
  8. 50
  9. 3
  10. 9:49
  11. 324
  12. 5
  13. 174
  14. 6
  15. 114
  16. 7:09
  17. 12:39
  18. 11:51
  19. 5
  20. 348
  21. 112.5
  22. 8:09
  23. 31
  24. 67
  25. 7:16
  26. 9:49
  27. 252
  28. 20
  29. 55
  30. 138
  31. 172.5
  32. 49
  33. 25.5
  34. 2:56
  35. 11.5
  36. 2:04
  37. 168
  38. 162.5
  39. 10.5
  40. 60

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