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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 818 · 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 32 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 152 minutes? =
  5. 5.A clock shows 12:14. What time will it show 73 minutes later? (a) 2:27 (b) 1:17 (c) 1:37 (d) 1:27
  6. 6.A clock shows 9:27. What time will it show 133 minutes later? (a) 11:50 (b) 11:40 (c) 12:40 (d) 11:30
  7. 7.A clock shows 9:14. What time will it show 11 minutes later? (a) 10:25 (b) 9:25 (c) 9:15 (d) 9:35
  8. 8.A clock shows 1:08. What time will it show 18 minutes later? (a) 1:16 (b) 1:36 (c) 1:26 (d) 2:26
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  10. 10.A clock shows 4:01. What time will it show 57 minutes later? (a) 5:08 (b) 4:58 (c) 5:58 (d) 4:48
  11. 11.How many degrees does the hour hand of a clock turn in 25 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  13. 13.A clock shows 12:50. What time will it show 60 minutes later? (a) 1:40 (b) 1:50 (c) 2:00 (d) 2:50
  14. 14.How many degrees does the minute hand of a clock turn in 3 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 26 minutes? =
  16. 16.A clock shows 6:36. What time will it show 69 minutes later? (a) 7:35 (b) 8:45 (c) 7:45 (d) 7:55
  17. 17.How many degrees does the hour hand of a clock turn in 175 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 39 minutes? =
  20. 20.A clock shows 12:51. What time will it show 163 minutes later? (a) 4:34 (b) 3:44 (c) 3:24 (d) 3:34
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  23. 23.A clock shows 6:24. What time will it show 18 minutes later? (a) 7:42 (b) 6:32 (c) 6:42 (d) 6:52
  24. 24.How many degrees does the minute hand of a clock turn in 12 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 31 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 114 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 75 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  30. 30.A clock shows 7:29. What time will it show 23 minutes later? (a) 7:42 (b) 7:52 (c) 8:02 (d) 8:52
  31. 31.How many degrees does the hour hand of a clock turn in 33 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 28 minutes? =
  33. 33.A clock shows 10:08. What time will it show 75 minutes later? (a) 11:33 (b) 11:13 (c) 12:23 (d) 11:23
  34. 34.A clock shows 8:04. What time will it show 139 minutes later? (a) 10:13 (b) 10:33 (c) 11:23 (d) 10:23
  35. 35.How many degrees does the hour hand of a clock turn in 49 minutes? =
  36. 36.A clock shows 10:53. What time will it show 135 minutes later? (a) 1:08 (b) 1:18 (c) 2:08 (d) 12:58
  37. 37.How many degrees does the minute hand of a clock turn in 15 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 33 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 27 minutes? =

Answer key

  1. 16
  2. 126.5
  3. 22.5
  4. 76
  5. 1:27
  6. 11:40
  7. 9:25
  8. 1:26
  9. 142
  10. 4:58
  11. 12.5
  12. 127.5
  13. 1:50
  14. 18
  15. 13
  16. 7:45
  17. 87.5
  18. 62
  19. 234
  20. 3:34
  21. 76
  22. 105.5
  23. 6:42
  24. 72
  25. 186
  26. 80.5
  27. 57
  28. 37.5
  29. 131.5
  30. 7:52
  31. 16.5
  32. 168
  33. 11:23
  34. 10:23
  35. 24.5
  36. 1:08
  37. 90
  38. 58.5
  39. 198
  40. 13.5

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