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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 108 · 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 hour hand of a clock turn in 76 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 34 minutes? =
  6. 6.A clock shows 6:21. What time will it show 101 minutes later? (a) 8:12 (b) 7:52 (c) 8:02 (d) 9:02
  7. 7.A clock shows 6:06. What time will it show 65 minutes later? (a) 7:01 (b) 7:21 (c) 7:11 (d) 8:11
  8. 8.A clock shows 11:38. What time will it show 39 minutes later? (a) 12:17 (b) 12:27 (c) 1:17 (d) 12:07
  9. 9.How many degrees does the hour hand of a clock turn in 155 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 49 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 52 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 26 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 54 minutes? =
  16. 16.A clock shows 11:28. What time will it show 55 minutes later? (a) 12:23 (b) 12:13 (c) 12:33 (d) 1:23
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  18. 18.A clock shows 2:53. What time will it show 47 minutes later? (a) 3:30 (b) 3:40 (c) 3:50 (d) 4:40
  19. 19.A clock shows 12:05. What time will it show 161 minutes later? (a) 3:46 (b) 2:36 (c) 2:46 (d) 2:56
  20. 20.How many degrees does the hour hand of a clock turn in 24 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 178 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  24. 24.A clock shows 12:17. What time will it show 39 minutes later? (a) 1:06 (b) 1:56 (c) 12:46 (d) 12:56
  25. 25.How many degrees does the hour hand of a clock turn in 143 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 45 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  29. 29.A clock shows 12:01. What time will it show 17 minutes later? (a) 12:08 (b) 12:18 (c) 12:28 (d) 1:18
  30. 30.A clock shows 6:48. What time will it show 18 minutes later? (a) 7:16 (b) 8:06 (c) 6:56 (d) 7:06
  31. 31.How many degrees does the minute hand of a clock turn in 36 minutes? =
  32. 32.A clock shows 5:09. What time will it show 61 minutes later? (a) 6:10 (b) 6:00 (c) 7:10 (d) 6:20
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  36. 36.A clock shows 1:34. What time will it show 70 minutes later? (a) 2:44 (b) 3:44 (c) 2:34 (d) 2:54
  37. 37.A clock shows 7:16. What time will it show 15 minutes later? (a) 7:31 (b) 8:31 (c) 7:21 (d) 7:41
  38. 38.How many degrees does the minute hand of a clock turn in 55 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  40. 40.A clock shows 4:18. What time will it show 116 minutes later? (a) 6:24 (b) 6:14 (c) 6:04 (d) 7:14

Answer key

  1. 38
  2. 130
  3. 177
  4. 119.5
  5. 204
  6. 8:02
  7. 7:11
  8. 12:17
  9. 77.5
  10. 4.5
  11. 294
  12. 26
  13. 156
  14. 6.5
  15. 324
  16. 12:23
  17. 55
  18. 3:40
  19. 2:46
  20. 12
  21. 62.5
  22. 89
  23. 152.5
  24. 12:56
  25. 71.5
  26. 270
  27. 92.5
  28. 135.5
  29. 12:18
  30. 7:06
  31. 216
  32. 6:10
  33. 75.5
  34. 78.5
  35. 115
  36. 2:44
  37. 7:31
  38. 330
  39. 6.5
  40. 6:14

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