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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 619 · 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 2:31. What time will it show 30 minutes later? (a) 3:01 (b) 4:01 (c) 2:51 (d) 3:11
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 174 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 11 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 79 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 101 minutes? =
  8. 8.A clock shows 7:45. What time will it show 35 minutes later? (a) 9:20 (b) 8:20 (c) 8:10 (d) 8:30
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 33 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  12. 12.A clock shows 5:04. What time will it show 122 minutes later? (a) 7:16 (b) 6:56 (c) 7:06 (d) 8:06
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 145 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 43 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 26 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 54 minutes? =
  18. 18.A clock shows 1:16. What time will it show 20 minutes later? (a) 2:36 (b) 1:46 (c) 1:36 (d) 1:26
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 10 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 144 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 20 minutes? =
  25. 25.A clock shows 1:54. What time will it show 78 minutes later? (a) 3:12 (b) 4:12 (c) 3:22 (d) 3:02
  26. 26.How many degrees does the hour hand of a clock turn in 130 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  28. 28.A clock shows 5:43. What time will it show 124 minutes later? (a) 7:57 (b) 7:47 (c) 8:47 (d) 7:37
  29. 29.How many degrees does the minute hand of a clock turn in 51 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  32. 32.A clock shows 3:06. What time will it show 93 minutes later? (a) 5:39 (b) 4:49 (c) 4:39 (d) 4:29
  33. 33.A clock shows 3:09. What time will it show 157 minutes later? (a) 5:36 (b) 6:46 (c) 5:56 (d) 5:46
  34. 34.A clock shows 7:06. What time will it show 128 minutes later? (a) 10:14 (b) 9:14 (c) 9:24 (d) 9:04
  35. 35.How many degrees does the minute hand of a clock turn in 13 minutes? =
  36. 36.A clock shows 12:02. What time will it show 23 minutes later? (a) 12:15 (b) 1:25 (c) 12:35 (d) 12:25
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  38. 38.A clock shows 11:09. What time will it show 25 minutes later? (a) 11:24 (b) 11:34 (c) 12:34 (d) 11:44
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 46 minutes? =

Answer key

  1. 3:01
  2. 159.5
  3. 87
  4. 24.5
  5. 66
  6. 39.5
  7. 50.5
  8. 8:20
  9. 70.5
  10. 198
  11. 84
  12. 7:06
  13. 155
  14. 72.5
  15. 258
  16. 13
  17. 324
  18. 1:36
  19. 88
  20. 33
  21. 60
  22. 72
  23. 49.5
  24. 120
  25. 3:12
  26. 65
  27. 97
  28. 7:47
  29. 306
  30. 58.5
  31. 131
  32. 4:39
  33. 5:46
  34. 9:14
  35. 78
  36. 12:25
  37. 177.5
  38. 11:34
  39. 26
  40. 276

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