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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 494 · 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 57 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 11 minutes? =
  3. 3.A clock shows 6:16. What time will it show 73 minutes later? (a) 7:19 (b) 7:29 (c) 7:39 (d) 8:29
  4. 4.How many degrees does the minute hand of a clock turn in 2 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 86 minutes? =
  6. 6.A clock shows 5:34. What time will it show 69 minutes later? (a) 6:43 (b) 7:43 (c) 6:33 (d) 6:53
  7. 7.How many degrees does the hour hand of a clock turn in 35 minutes? =
  8. 8.A clock shows 9:16. What time will it show 56 minutes later? (a) 10:22 (b) 10:02 (c) 11:12 (d) 10:12
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 54 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 34 minutes? =
  21. 21.A clock shows 7:15. What time will it show 153 minutes later? (a) 9:58 (b) 9:48 (c) 10:48 (d) 9:38
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
  23. 23.A clock shows 5:07. What time will it show 81 minutes later? (a) 6:18 (b) 6:28 (c) 7:28 (d) 6:38
  24. 24.How many degrees does the hour hand of a clock turn in 97 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 143 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 14 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 38 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 3 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  37. 37.A clock shows 10:03. What time will it show 102 minutes later? (a) 12:45 (b) 11:35 (c) 11:45 (d) 11:55
  38. 38.A clock shows 1:27. What time will it show 135 minutes later? (a) 3:52 (b) 3:32 (c) 4:42 (d) 3:42
  39. 39.How many degrees does the hour hand of a clock turn in 146 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 43 minutes? =

Answer key

  1. 342
  2. 5.5
  3. 7:29
  4. 12
  5. 43
  6. 6:43
  7. 17.5
  8. 10:12
  9. 43.5
  10. 43.5
  11. 324
  12. 23.5
  13. 172
  14. 47
  15. 27
  16. 179
  17. 59.5
  18. 105.5
  19. 102.5
  20. 17
  21. 9:48
  22. 149
  23. 6:28
  24. 48.5
  25. 131.5
  26. 122
  27. 129.5
  28. 71.5
  29. 87.5
  30. 86
  31. 7
  32. 152
  33. 228
  34. 18
  35. 142.5
  36. 77
  37. 11:45
  38. 3:42
  39. 73
  40. 258

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