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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 791 · 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 29 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  6. 6.A clock shows 11:43. What time will it show 156 minutes later? (a) 2:29 (b) 2:19 (c) 3:19 (d) 2:09
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  9. 9.A clock shows 4:22. What time will it show 26 minutes later? (a) 5:48 (b) 4:38 (c) 4:48 (d) 4:58
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  13. 13.A clock shows 3:09. What time will it show 36 minutes later? (a) 4:45 (b) 3:55 (c) 3:35 (d) 3:45
  14. 14.How many degrees does the minute hand of a clock turn in 5 minutes? =
  15. 15.A clock shows 7:01. What time will it show 152 minutes later? (a) 9:33 (b) 9:43 (c) 10:33 (d) 9:23
  16. 16.A clock shows 11:43. What time will it show 29 minutes later? (a) 12:12 (b) 1:12 (c) 12:02 (d) 12:22
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 30 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 13 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 19 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 24 minutes? =
  25. 25.A clock shows 10:44. What time will it show 165 minutes later? (a) 2:29 (b) 1:19 (c) 1:29 (d) 1:39
  26. 26.How many degrees does the minute hand of a clock turn in 34 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 71 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 15 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 2 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 36 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  34. 34.A clock shows 1:44. What time will it show 71 minutes later? (a) 3:55 (b) 3:05 (c) 2:55 (d) 2:45
  35. 35.A clock shows 3:59. What time will it show 81 minutes later? (a) 5:10 (b) 6:20 (c) 5:20 (d) 5:30
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =

Answer key

  1. 174
  2. 54
  3. 47
  4. 168
  5. 30.5
  6. 2:19
  7. 0.5
  8. 141
  9. 4:48
  10. 28
  11. 54
  12. 142
  13. 3:45
  14. 30
  15. 9:33
  16. 12:12
  17. 21
  18. 46
  19. 180
  20. 6.5
  21. 9.5
  22. 105.5
  23. 74.5
  24. 144
  25. 1:29
  26. 204
  27. 145
  28. 152.5
  29. 35.5
  30. 7.5
  31. 12
  32. 216
  33. 123.5
  34. 2:55
  35. 5:20
  36. 75
  37. 87
  38. 170.5
  39. 96.5
  40. 35

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