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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 60 · 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 5:49? (in degrees) =
  2. 2.A clock shows 2:35. What time will it show 31 minutes later? (a) 3:16 (b) 2:56 (c) 4:06 (d) 3:06
  3. 3.How many degrees does the hour hand of a clock turn in 113 minutes? =
  4. 4.A clock shows 3:56. What time will it show 87 minutes later? (a) 5:13 (b) 6:23 (c) 5:33 (d) 5:23
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  6. 6.A clock shows 10:45. What time will it show 154 minutes later? (a) 1:19 (b) 1:29 (c) 2:19 (d) 1:09
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  8. 8.A clock shows 3:52. What time will it show 125 minutes later? (a) 5:57 (b) 6:07 (c) 5:47 (d) 6:57
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  10. 10.A clock shows 10:04. What time will it show 166 minutes later? (a) 1:50 (b) 12:50 (c) 1:00 (d) 12:40
  11. 11.How many degrees does the minute hand of a clock turn in 31 minutes? =
  12. 12.A clock shows 4:26. What time will it show 130 minutes later? (a) 6:46 (b) 6:36 (c) 7:36 (d) 6:26
  13. 13.How many degrees does the minute hand of a clock turn in 53 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 58 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  16. 16.A clock shows 7:26. What time will it show 12 minutes later? (a) 7:48 (b) 8:38 (c) 7:38 (d) 7:28
  17. 17.A clock shows 1:04. What time will it show 125 minutes later? (a) 3:19 (b) 3:09 (c) 4:09 (d) 2:59
  18. 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  20. 20.A clock shows 8:08. What time will it show 26 minutes later? (a) 8:24 (b) 8:34 (c) 8:44 (d) 9:34
  21. 21.How many degrees does the minute hand of a clock turn in 59 minutes? =
  22. 22.A clock shows 2:23. What time will it show 99 minutes later? (a) 4:02 (b) 3:52 (c) 4:12 (d) 5:02
  23. 23.How many degrees does the hour hand of a clock turn in 33 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 79 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  27. 27.A clock shows 4:18. What time will it show 45 minutes later? (a) 5:13 (b) 5:03 (c) 6:03 (d) 4:53
  28. 28.How many degrees does the minute hand of a clock turn in 4 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 130 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 52 minutes? =
  33. 33.A clock shows 2:31. What time will it show 13 minutes later? (a) 2:34 (b) 2:44 (c) 3:44 (d) 2:54
  34. 34.How many degrees does the hour hand of a clock turn in 119 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 175 minutes? =
  36. 36.A clock shows 3:09. What time will it show 67 minutes later? (a) 4:06 (b) 4:26 (c) 4:16 (d) 5:16
  37. 37.A clock shows 8:02. What time will it show 55 minutes later? (a) 9:07 (b) 8:47 (c) 9:57 (d) 8:57
  38. 38.A clock shows 10:19. What time will it show 40 minutes later? (a) 11:09 (b) 11:59 (c) 10:49 (d) 10:59
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =

Answer key

  1. 119.5
  2. 3:06
  3. 56.5
  4. 5:23
  5. 149.5
  6. 1:19
  7. 141.5
  8. 5:57
  9. 141
  10. 12:50
  11. 186
  12. 6:36
  13. 318
  14. 348
  15. 173.5
  16. 7:38
  17. 3:09
  18. 222
  19. 115.5
  20. 8:34
  21. 354
  22. 4:02
  23. 16.5
  24. 39.5
  25. 114.5
  26. 53
  27. 5:03
  28. 24
  29. 65
  30. 169
  31. 136
  32. 26
  33. 2:44
  34. 59.5
  35. 87.5
  36. 4:16
  37. 8:57
  38. 10:59
  39. 52.5
  40. 73.5

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