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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 711 · 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.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  3. 3.A clock shows 2:14. What time will it show 148 minutes later? (a) 4:32 (b) 5:42 (c) 4:42 (d) 4:52
  4. 4.How many degrees does the minute hand of a clock turn in 19 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  7. 7.A clock shows 3:26. What time will it show 21 minutes later? (a) 3:57 (b) 3:37 (c) 4:47 (d) 3:47
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  9. 9.A clock shows 3:26. What time will it show 97 minutes later? (a) 5:13 (b) 4:53 (c) 6:03 (d) 5:03
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  15. 15.A clock shows 6:54. What time will it show 26 minutes later? (a) 7:20 (b) 7:30 (c) 7:10 (d) 8:20
  16. 16.A clock shows 9:33. What time will it show 140 minutes later? (a) 12:03 (b) 11:43 (c) 11:53 (d) 12:53
  17. 17.How many degrees does the hour hand of a clock turn in 166 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 10 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 9 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 135 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 86 minutes? =
  25. 25.A clock shows 3:08. What time will it show 127 minutes later? (a) 5:25 (b) 5:15 (c) 5:05 (d) 6:15
  26. 26.How many degrees does the hour hand of a clock turn in 81 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 37 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  30. 30.A clock shows 2:55. What time will it show 71 minutes later? (a) 5:06 (b) 4:16 (c) 4:06 (d) 3:56
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 40 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 55 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 48 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  39. 39.A clock shows 12:27. What time will it show 51 minutes later? (a) 1:28 (b) 1:08 (c) 2:18 (d) 1:18
  40. 40.How many degrees does the minute hand of a clock turn in 39 minutes? =

Answer key

  1. 36.5
  2. 89.5
  3. 4:42
  4. 114
  5. 14.5
  6. 30.5
  7. 3:47
  8. 136
  9. 5:03
  10. 177
  11. 129
  12. 126
  13. 136
  14. 63
  15. 7:20
  16. 11:53
  17. 83
  18. 40.5
  19. 60
  20. 54
  21. 78
  22. 67.5
  23. 163.5
  24. 43
  25. 5:15
  26. 40.5
  27. 139
  28. 222
  29. 108
  30. 4:06
  31. 156
  32. 240
  33. 40.5
  34. 127.5
  35. 52
  36. 330
  37. 288
  38. 85
  39. 1:18
  40. 234

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