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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 658 · 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 5:53. What time will it show 79 minutes later? (a) 8:12 (b) 7:22 (c) 7:02 (d) 7:12
  2. 2.How many degrees does the hour hand of a clock turn in 68 minutes? =
  3. 3.A clock shows 2:28. What time will it show 27 minutes later? (a) 2:55 (b) 2:45 (c) 3:05 (d) 3:55
  4. 4.A clock shows 8:31. What time will it show 74 minutes later? (a) 10:45 (b) 9:45 (c) 9:35 (d) 9:55
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  7. 7.A clock shows 2:56. What time will it show 76 minutes later? (a) 4:02 (b) 4:12 (c) 4:22 (d) 5:12
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 50 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 11 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  15. 15.A clock shows 9:30. What time will it show 18 minutes later? (a) 9:48 (b) 9:58 (c) 9:38 (d) 10:48
  16. 16.A clock shows 1:26. What time will it show 148 minutes later? (a) 4:04 (b) 3:54 (c) 4:54 (d) 3:44
  17. 17.How many degrees does the hour hand of a clock turn in 96 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 13 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 172 minutes? =
  22. 22.A clock shows 5:56. What time will it show 137 minutes later? (a) 8:13 (b) 8:03 (c) 9:13 (d) 8:23
  23. 23.A clock shows 3:14. What time will it show 40 minutes later? (a) 4:54 (b) 3:54 (c) 3:44 (d) 4:04
  24. 24.How many degrees does the hour hand of a clock turn in 160 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 9 minutes? =
  26. 26.A clock shows 2:13. What time will it show 95 minutes later? (a) 3:48 (b) 3:38 (c) 4:48 (d) 3:58
  27. 27.How many degrees does the hour hand of a clock turn in 62 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 32 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 123 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
  32. 32.A clock shows 6:26. What time will it show 80 minutes later? (a) 7:36 (b) 8:46 (c) 7:46 (d) 7:56
  33. 33.How many degrees does the hour hand of a clock turn in 33 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 31 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 7 minutes? =
  37. 37.A clock shows 1:06. What time will it show 72 minutes later? (a) 3:18 (b) 2:28 (c) 2:18 (d) 2:08
  38. 38.A clock shows 12:56. What time will it show 153 minutes later? (a) 3:39 (b) 4:29 (c) 3:19 (d) 3:29
  39. 39.A clock shows 6:39. What time will it show 107 minutes later? (a) 8:36 (b) 8:26 (c) 9:26 (d) 8:16
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =

Answer key

  1. 7:12
  2. 34
  3. 2:55
  4. 9:45
  5. 25.5
  6. 142.5
  7. 4:12
  8. 5
  9. 122
  10. 300
  11. 66
  12. 158
  13. 50.5
  14. 128
  15. 9:48
  16. 3:54
  17. 48
  18. 28
  19. 146.5
  20. 78
  21. 86
  22. 8:13
  23. 3:54
  24. 80
  25. 54
  26. 3:48
  27. 31
  28. 192
  29. 61.5
  30. 169.5
  31. 117
  32. 7:46
  33. 16.5
  34. 2
  35. 186
  36. 42
  37. 2:18
  38. 3:29
  39. 8:26
  40. 158.5

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