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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 762 · 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 17 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 53 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 10 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 19 minutes? =
  8. 8.A clock shows 8:32. What time will it show 129 minutes later? (a) 10:51 (b) 11:41 (c) 10:41 (d) 10:31
  9. 9.A clock shows 6:02. What time will it show 13 minutes later? (a) 6:25 (b) 6:05 (c) 7:15 (d) 6:15
  10. 10.A clock shows 11:54. What time will it show 160 minutes later? (a) 3:34 (b) 2:24 (c) 2:44 (d) 2:34
  11. 11.How many degrees does the hour hand of a clock turn in 175 minutes? =
  12. 12.A clock shows 11:57. What time will it show 113 minutes later? (a) 1:40 (b) 2:00 (c) 1:50 (d) 2:50
  13. 13.How many degrees does the minute hand of a clock turn in 18 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 174 minutes? =
  16. 16.A clock shows 11:31. What time will it show 62 minutes later? (a) 12:23 (b) 12:33 (c) 1:33 (d) 12:43
  17. 17.A clock shows 4:46. What time will it show 116 minutes later? (a) 6:32 (b) 7:42 (c) 6:52 (d) 6:42
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 66 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 67 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 162 minutes? =
  24. 24.A clock shows 8:39. What time will it show 33 minutes later? (a) 9:12 (b) 9:22 (c) 9:02 (d) 10:12
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 33 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 37 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 27 minutes? =
  30. 30.A clock shows 2:01. What time will it show 169 minutes later? (a) 5:50 (b) 5:00 (c) 4:40 (d) 4:50
  31. 31.A clock shows 11:46. What time will it show 94 minutes later? (a) 1:20 (b) 2:20 (c) 1:10 (d) 1:30
  32. 32.How many degrees does the minute hand of a clock turn in 21 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  34. 34.A clock shows 10:04. What time will it show 46 minutes later? (a) 10:40 (b) 10:50 (c) 11:50 (d) 11:00
  35. 35.A clock shows 2:39. What time will it show 133 minutes later? (a) 4:42 (b) 5:52 (c) 4:52 (d) 5:02
  36. 36.How many degrees does the minute hand of a clock turn in 20 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 15 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 31 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 56 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 47 minutes? =

Answer key

  1. 8.5
  2. 58.5
  3. 37
  4. 318
  5. 5
  6. 7.5
  7. 9.5
  8. 10:41
  9. 6:15
  10. 2:34
  11. 87.5
  12. 1:50
  13. 108
  14. 153.5
  15. 87
  16. 12:33
  17. 6:42
  18. 163
  19. 33
  20. 173
  21. 33.5
  22. 52.5
  23. 81
  24. 9:12
  25. 116.5
  26. 176.5
  27. 198
  28. 222
  29. 162
  30. 4:50
  31. 1:20
  32. 126
  33. 59.5
  34. 10:50
  35. 4:52
  36. 120
  37. 90
  38. 186
  39. 336
  40. 282

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