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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 610 · 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 4:41. What time will it show 66 minutes later? (a) 5:57 (b) 6:47 (c) 5:37 (d) 5:47
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 54 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 8 minutes? =
  6. 6.A clock shows 3:38. What time will it show 52 minutes later? (a) 4:20 (b) 4:30 (c) 4:40 (d) 5:30
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  12. 12.A clock shows 5:21. What time will it show 161 minutes later? (a) 9:02 (b) 8:12 (c) 8:02 (d) 7:52
  13. 13.A clock shows 12:18. What time will it show 110 minutes later? (a) 2:08 (b) 3:08 (c) 1:58 (d) 2:18
  14. 14.A clock shows 3:18. What time will it show 124 minutes later? (a) 5:32 (b) 6:22 (c) 5:12 (d) 5:22
  15. 15.How many degrees does the minute hand of a clock turn in 53 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 108 minutes? =
  18. 18.A clock shows 2:50. What time will it show 115 minutes later? (a) 4:45 (b) 4:35 (c) 4:55 (d) 5:45
  19. 19.A clock shows 7:14. What time will it show 158 minutes later? (a) 10:02 (b) 9:42 (c) 10:52 (d) 9:52
  20. 20.A clock shows 4:55. What time will it show 57 minutes later? (a) 5:42 (b) 5:52 (c) 6:02 (d) 6:52
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  22. 22.A clock shows 11:22. What time will it show 34 minutes later? (a) 12:56 (b) 12:06 (c) 11:56 (d) 11:46
  23. 23.How many degrees does the minute hand of a clock turn in 14 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 29 minutes? =
  25. 25.A clock shows 11:33. What time will it show 139 minutes later? (a) 2:02 (b) 2:52 (c) 1:52 (d) 1:42
  26. 26.A clock shows 4:29. What time will it show 119 minutes later? (a) 6:18 (b) 7:28 (c) 6:38 (d) 6:28
  27. 27.How many degrees does the hour hand of a clock turn in 25 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 5 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 26 minutes? =
  32. 32.A clock shows 12:22. What time will it show 167 minutes later? (a) 4:09 (b) 3:09 (c) 2:59 (d) 3:19
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  35. 35.A clock shows 10:35. What time will it show 72 minutes later? (a) 11:47 (b) 11:57 (c) 11:37 (d) 12:47
  36. 36.How many degrees does the minute hand of a clock turn in 49 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 159 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =

Answer key

  1. 5:47
  2. 57.5
  3. 27
  4. 121
  5. 48
  6. 4:30
  7. 52
  8. 107.5
  9. 172
  10. 125
  11. 134
  12. 8:02
  13. 2:08
  14. 5:22
  15. 318
  16. 36
  17. 54
  18. 4:45
  19. 9:52
  20. 5:52
  21. 84
  22. 11:56
  23. 84
  24. 14.5
  25. 1:52
  26. 6:28
  27. 12.5
  28. 148.5
  29. 30
  30. 5
  31. 156
  32. 3:09
  33. 104.5
  34. 132.5
  35. 11:47
  36. 294
  37. 141
  38. 79.5
  39. 1.5
  40. 9.5

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