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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 920 · 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 44 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 7 minutes? =
  6. 6.A clock shows 3:29. What time will it show 167 minutes later? (a) 6:26 (b) 7:16 (c) 6:16 (d) 6:06
  7. 7.A clock shows 4:32. What time will it show 83 minutes later? (a) 6:55 (b) 6:05 (c) 5:45 (d) 5:55
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 35 minutes? =
  11. 11.A clock shows 7:31. What time will it show 44 minutes later? (a) 9:15 (b) 8:25 (c) 8:15 (d) 8:05
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  14. 14.A clock shows 12:11. What time will it show 23 minutes later? (a) 12:34 (b) 12:44 (c) 1:34 (d) 12:24
  15. 15.How many degrees does the hour hand of a clock turn in 148 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 82 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  21. 21.A clock shows 3:58. What time will it show 52 minutes later? (a) 5:00 (b) 5:50 (c) 4:40 (d) 4:50
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 20 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 42 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 13 minutes? =
  27. 27.A clock shows 11:03. What time will it show 67 minutes later? (a) 12:10 (b) 12:00 (c) 12:20 (d) 1:10
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 171 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  31. 31.A clock shows 12:57. What time will it show 77 minutes later? (a) 2:24 (b) 3:14 (c) 2:14 (d) 2:04
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  33. 33.A clock shows 6:42. What time will it show 103 minutes later? (a) 9:25 (b) 8:25 (c) 8:35 (d) 8:15
  34. 34.A clock shows 9:12. What time will it show 107 minutes later? (a) 10:49 (b) 10:59 (c) 11:09 (d) 11:59
  35. 35.How many degrees does the minute hand of a clock turn in 5 minutes? =
  36. 36.A clock shows 4:23. What time will it show 168 minutes later? (a) 7:21 (b) 8:11 (c) 7:01 (d) 7:11
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 59 minutes? =
  39. 39.A clock shows 6:50. What time will it show 112 minutes later? (a) 8:52 (b) 8:32 (c) 9:42 (d) 8:42
  40. 40.A clock shows 1:34. What time will it show 131 minutes later? (a) 3:45 (b) 3:55 (c) 4:45 (d) 3:35

Answer key

  1. 264
  2. 13
  3. 44
  4. 126
  5. 42
  6. 6:16
  7. 5:55
  8. 175.5
  9. 82
  10. 210
  11. 8:15
  12. 6
  13. 21
  14. 12:34
  15. 74
  16. 92
  17. 77.5
  18. 73
  19. 41
  20. 177
  21. 4:50
  22. 133
  23. 120
  24. 36.5
  25. 252
  26. 6.5
  27. 12:10
  28. 61
  29. 85.5
  30. 48.5
  31. 2:14
  32. 80
  33. 8:25
  34. 10:59
  35. 30
  36. 7:11
  37. 141
  38. 354
  39. 8:42
  40. 3:45

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