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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 903 · 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 8:37. What time will it show 165 minutes later? (a) 11:32 (b) 12:22 (c) 11:22 (d) 11:12
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 12 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 76 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 85 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 43 minutes? =
  8. 8.A clock shows 2:49. What time will it show 153 minutes later? (a) 5:32 (b) 6:22 (c) 5:22 (d) 5:12
  9. 9.How many degrees does the minute hand of a clock turn in 58 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 21 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  14. 14.A clock shows 5:45. What time will it show 52 minutes later? (a) 6:27 (b) 6:37 (c) 7:37 (d) 6:47
  15. 15.How many degrees does the hour hand of a clock turn in 46 minutes? =
  16. 16.A clock shows 9:50. What time will it show 84 minutes later? (a) 11:24 (b) 11:04 (c) 12:14 (d) 11:14
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 56 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  21. 21.A clock shows 5:26. What time will it show 89 minutes later? (a) 7:55 (b) 7:05 (c) 6:45 (d) 6:55
  22. 22.How many degrees does the hour hand of a clock turn in 166 minutes? =
  23. 23.A clock shows 5:44. What time will it show 32 minutes later? (a) 7:16 (b) 6:06 (c) 6:26 (d) 6:16
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  25. 25.A clock shows 6:13. What time will it show 161 minutes later? (a) 9:04 (b) 8:54 (c) 8:44 (d) 9:54
  26. 26.How many degrees does the hour hand of a clock turn in 80 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  28. 28.A clock shows 1:20. What time will it show 165 minutes later? (a) 3:55 (b) 4:05 (c) 4:15 (d) 5:05
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  30. 30.A clock shows 6:39. What time will it show 27 minutes later? (a) 7:06 (b) 6:56 (c) 7:16 (d) 8:06
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  32. 32.A clock shows 5:53. What time will it show 170 minutes later? (a) 9:43 (b) 8:53 (c) 8:43 (d) 8:33
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  34. 34.A clock shows 11:52. What time will it show 73 minutes later? (a) 12:55 (b) 2:05 (c) 1:15 (d) 1:05
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  36. 36.A clock shows 3:37. What time will it show 57 minutes later? (a) 4:44 (b) 5:34 (c) 4:34 (d) 4:24
  37. 37.How many degrees does the hour hand of a clock turn in 86 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  40. 40.A clock shows 3:34. What time will it show 86 minutes later? (a) 4:50 (b) 5:00 (c) 5:10 (d) 6:00

Answer key

  1. 11:22
  2. 81
  3. 72
  4. 38
  5. 77.5
  6. 42.5
  7. 258
  8. 5:22
  9. 348
  10. 10.5
  11. 73
  12. 165
  13. 9
  14. 6:37
  15. 23
  16. 11:14
  17. 111
  18. 141.5
  19. 336
  20. 48.5
  21. 6:55
  22. 83
  23. 6:16
  24. 42.5
  25. 8:54
  26. 40
  27. 179.5
  28. 4:05
  29. 81
  30. 7:06
  31. 114
  32. 8:43
  33. 112.5
  34. 1:05
  35. 74
  36. 4:34
  37. 43
  38. 100
  39. 80.5
  40. 5:00

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