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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 407 · 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 49 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 22 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 104 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 19 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 12 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
  9. 9.A clock shows 3:11. What time will it show 138 minutes later? (a) 5:19 (b) 5:39 (c) 6:29 (d) 5:29
  10. 10.A clock shows 12:52. What time will it show 146 minutes later? (a) 4:18 (b) 3:08 (c) 3:18 (d) 3:28
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  14. 14.A clock shows 8:53. What time will it show 18 minutes later? (a) 9:11 (b) 9:21 (c) 10:11 (d) 9:01
  15. 15.How many degrees does the minute hand of a clock turn in 52 minutes? =
  16. 16.A clock shows 1:46. What time will it show 44 minutes later? (a) 3:30 (b) 2:30 (c) 2:20 (d) 2:40
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 13 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  20. 20.A clock shows 6:49. What time will it show 31 minutes later? (a) 7:10 (b) 8:20 (c) 7:20 (d) 7:30
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 23 minutes? =
  25. 25.A clock shows 5:40. What time will it show 56 minutes later? (a) 7:36 (b) 6:36 (c) 6:26 (d) 6:46
  26. 26.How many degrees does the minute hand of a clock turn in 48 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 133 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 53 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 92 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 26 minutes? =
  34. 34.A clock shows 6:31. What time will it show 78 minutes later? (a) 7:59 (b) 8:49 (c) 7:49 (d) 7:39
  35. 35.A clock shows 12:12. What time will it show 41 minutes later? (a) 12:43 (b) 1:53 (c) 12:53 (d) 1:03
  36. 36.How many degrees does the minute hand of a clock turn in 17 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 13 minutes? =
  38. 38.A clock shows 10:13. What time will it show 160 minutes later? (a) 1:53 (b) 12:43 (c) 1:03 (d) 12:53
  39. 39.A clock shows 9:40. What time will it show 19 minutes later? (a) 10:59 (b) 10:09 (c) 9:49 (d) 9:59
  40. 40.A clock shows 3:53. What time will it show 52 minutes later? (a) 4:55 (b) 5:45 (c) 4:35 (d) 4:45

Answer key

  1. 294
  2. 85.5
  3. 11
  4. 52
  5. 108
  6. 9.5
  7. 72
  8. 29.5
  9. 5:29
  10. 3:18
  11. 178
  12. 31
  13. 36.5
  14. 9:11
  15. 312
  16. 2:30
  17. 24.5
  18. 6.5
  19. 134
  20. 7:20
  21. 111
  22. 63
  23. 100.5
  24. 138
  25. 6:36
  26. 288
  27. 66.5
  28. 318
  29. 46
  30. 43.5
  31. 36
  32. 43
  33. 13
  34. 7:49
  35. 12:53
  36. 102
  37. 78
  38. 12:53
  39. 9:59
  40. 4:45

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