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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 896 · 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 81 minutes? =
  2. 2.A clock shows 6:17. What time will it show 25 minutes later? (a) 7:42 (b) 6:32 (c) 6:42 (d) 6:52
  3. 3.How many degrees does the minute hand of a clock turn in 51 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 40 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 47 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 42 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 126 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 34 minutes? =
  16. 16.A clock shows 6:26. What time will it show 35 minutes later? (a) 8:01 (b) 7:11 (c) 7:01 (d) 6:51
  17. 17.A clock shows 2:12. What time will it show 148 minutes later? (a) 4:50 (b) 4:40 (c) 5:40 (d) 4:30
  18. 18.How many degrees does the minute hand of a clock turn in 53 minutes? =
  19. 19.A clock shows 2:34. What time will it show 70 minutes later? (a) 3:44 (b) 3:54 (c) 3:34 (d) 4:44
  20. 20.A clock shows 4:02. What time will it show 83 minutes later? (a) 5:35 (b) 5:15 (c) 6:25 (d) 5:25
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  22. 22.A clock shows 12:55. What time will it show 126 minutes later? (a) 4:01 (b) 2:51 (c) 3:01 (d) 3:11
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 150 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  28. 28.A clock shows 12:25. What time will it show 85 minutes later? (a) 2:00 (b) 1:40 (c) 2:50 (d) 1:50
  29. 29.How many degrees does the hour hand of a clock turn in 161 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 160 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 27 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 28 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  34. 34.A clock shows 3:18. What time will it show 129 minutes later? (a) 5:17 (b) 6:27 (c) 5:37 (d) 5:27
  35. 35.A clock shows 9:47. What time will it show 109 minutes later? (a) 11:26 (b) 11:46 (c) 12:36 (d) 11:36
  36. 36.A clock shows 7:28. What time will it show 104 minutes later? (a) 9:12 (b) 10:12 (c) 9:22 (d) 9:02
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 33 minutes? =
  39. 39.A clock shows 6:29. What time will it show 51 minutes later? (a) 8:20 (b) 7:20 (c) 7:10 (d) 7:30
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =

Answer key

  1. 40.5
  2. 6:42
  3. 306
  4. 240
  5. 282
  6. 176.5
  7. 62.5
  8. 252
  9. 111.5
  10. 39
  11. 7.5
  12. 63
  13. 31.5
  14. 136.5
  15. 204
  16. 7:01
  17. 4:40
  18. 318
  19. 3:44
  20. 5:25
  21. 84.5
  22. 3:01
  23. 122
  24. 116.5
  25. 40.5
  26. 75
  27. 119
  28. 1:50
  29. 80.5
  30. 80
  31. 13.5
  32. 168
  33. 121
  34. 5:27
  35. 11:36
  36. 9:12
  37. 32.5
  38. 198
  39. 7:20
  40. 2

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