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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 458 · 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 12 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  4. 4.A clock shows 1:53. What time will it show 59 minutes later? (a) 2:42 (b) 2:52 (c) 3:52 (d) 3:02
  5. 5.How many degrees does the minute hand of a clock turn in 23 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  8. 8.A clock shows 10:08. What time will it show 44 minutes later? (a) 11:02 (b) 11:52 (c) 10:52 (d) 10:42
  9. 9.How many degrees does the hour hand of a clock turn in 81 minutes? =
  10. 10.A clock shows 8:14. What time will it show 109 minutes later? (a) 9:53 (b) 11:03 (c) 10:03 (d) 10:13
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 52 minutes? =
  13. 13.A clock shows 8:30. What time will it show 164 minutes later? (a) 11:04 (b) 11:14 (c) 11:24 (d) 12:14
  14. 14.How many degrees does the minute hand of a clock turn in 41 minutes? =
  15. 15.A clock shows 4:12. What time will it show 100 minutes later? (a) 5:52 (b) 6:02 (c) 5:42 (d) 6:52
  16. 16.How many degrees does the hour hand of a clock turn in 164 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 133 minutes? =
  19. 19.A clock shows 4:26. What time will it show 39 minutes later? (a) 6:05 (b) 4:55 (c) 5:05 (d) 5:15
  20. 20.How many degrees does the hour hand of a clock turn in 37 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 44 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 45 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 48 minutes? =
  26. 26.A clock shows 10:27. What time will it show 41 minutes later? (a) 11:08 (b) 12:08 (c) 11:18 (d) 10:58
  27. 27.A clock shows 12:23. What time will it show 115 minutes later? (a) 2:28 (b) 2:08 (c) 3:18 (d) 2:18
  28. 28.How many degrees does the hour hand of a clock turn in 130 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 158 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  31. 31.A clock shows 9:00. What time will it show 38 minutes later? (a) 9:28 (b) 10:38 (c) 9:48 (d) 9:38
  32. 32.How many degrees does the minute hand of a clock turn in 7 minutes? =
  33. 33.A clock shows 10:15. What time will it show 145 minutes later? (a) 1:40 (b) 12:40 (c) 12:50 (d) 12:30
  34. 34.A clock shows 1:50. What time will it show 40 minutes later? (a) 2:20 (b) 2:30 (c) 3:30 (d) 2:40
  35. 35.A clock shows 3:14. What time will it show 12 minutes later? (a) 4:26 (b) 3:26 (c) 3:16 (d) 3:36
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 64 minutes? =
  38. 38.A clock shows 11:51. What time will it show 170 minutes later? (a) 2:31 (b) 2:51 (c) 2:41 (d) 3:41
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =

Answer key

  1. 72
  2. 113
  3. 179
  4. 2:52
  5. 138
  6. 123
  7. 126
  8. 10:52
  9. 40.5
  10. 10:03
  11. 25
  12. 26
  13. 11:14
  14. 246
  15. 5:52
  16. 82
  17. 8.5
  18. 66.5
  19. 5:05
  20. 18.5
  21. 146.5
  22. 44
  23. 22
  24. 22.5
  25. 24
  26. 11:08
  27. 2:18
  28. 65
  29. 79
  30. 155
  31. 9:38
  32. 42
  33. 12:40
  34. 2:30
  35. 3:26
  36. 178.5
  37. 32
  38. 2:41
  39. 159.5
  40. 121.5

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