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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 354 · 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 minute hand of a clock turn in 5 minutes? =
  2. 2.A clock shows 8:38. What time will it show 130 minutes later? (a) 10:58 (b) 11:48 (c) 10:48 (d) 10:38
  3. 3.A clock shows 12:15. What time will it show 36 minutes later? (a) 12:51 (b) 1:51 (c) 12:41 (d) 1:01
  4. 4.How many degrees does the hour hand of a clock turn in 149 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  7. 7.A clock shows 5:49. What time will it show 160 minutes later? (a) 9:29 (b) 8:29 (c) 8:39 (d) 8:19
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 34 minutes? =
  11. 11.A clock shows 4:00. What time will it show 166 minutes later? (a) 6:36 (b) 6:46 (c) 7:46 (d) 6:56
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  13. 13.A clock shows 2:46. What time will it show 98 minutes later? (a) 4:34 (b) 5:24 (c) 4:24 (d) 4:14
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 28 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 4 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 56 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 65 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 25 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 10 minutes? =
  23. 23.A clock shows 12:51. What time will it show 54 minutes later? (a) 1:55 (b) 1:35 (c) 2:45 (d) 1:45
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 19 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 14 minutes? =
  30. 30.A clock shows 4:30. What time will it show 39 minutes later? (a) 4:59 (b) 5:19 (c) 6:09 (d) 5:09
  31. 31.A clock shows 12:12. What time will it show 32 minutes later? (a) 1:44 (b) 12:54 (c) 12:34 (d) 12:44
  32. 32.A clock shows 10:44. What time will it show 157 minutes later? (a) 1:31 (b) 1:11 (c) 1:21 (d) 2:21
  33. 33.A clock shows 3:25. What time will it show 95 minutes later? (a) 4:50 (b) 5:10 (c) 5:00 (d) 6:00
  34. 34.A clock shows 2:23. What time will it show 111 minutes later? (a) 4:14 (b) 4:04 (c) 5:14 (d) 4:24
  35. 35.A clock shows 1:13. What time will it show 110 minutes later? (a) 3:03 (b) 4:03 (c) 3:13 (d) 2:53
  36. 36.A clock shows 6:18. What time will it show 79 minutes later? (a) 7:27 (b) 8:37 (c) 7:37 (d) 7:47
  37. 37.How many degrees does the minute hand of a clock turn in 46 minutes? =
  38. 38.A clock shows 6:07. What time will it show 29 minutes later? (a) 7:36 (b) 6:36 (c) 6:26 (d) 6:46
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =

Answer key

  1. 30
  2. 10:48
  3. 12:51
  4. 74.5
  5. 131.5
  6. 123.5
  7. 8:29
  8. 120.5
  9. 74
  10. 204
  11. 6:46
  12. 115
  13. 4:24
  14. 66
  15. 168
  16. 24
  17. 55.5
  18. 84.5
  19. 336
  20. 32.5
  21. 12.5
  22. 5
  23. 1:45
  24. 23
  25. 5.5
  26. 21.5
  27. 46
  28. 114
  29. 84
  30. 5:09
  31. 12:44
  32. 1:21
  33. 5:00
  34. 4:14
  35. 3:03
  36. 7:37
  37. 276
  38. 6:36
  39. 9
  40. 156

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