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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 850 · 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 12:12? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 20 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 18 minutes? =
  4. 4.A clock shows 1:42. What time will it show 99 minutes later? (a) 3:21 (b) 3:31 (c) 3:11 (d) 4:21
  5. 5.A clock shows 8:39. What time will it show 92 minutes later? (a) 10:21 (b) 10:11 (c) 11:11 (d) 10:01
  6. 6.A clock shows 1:17. What time will it show 167 minutes later? (a) 3:54 (b) 4:14 (c) 4:04 (d) 5:04
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 45 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 14 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  13. 13.A clock shows 10:39. What time will it show 46 minutes later? (a) 11:25 (b) 11:35 (c) 11:15 (d) 12:25
  14. 14.A clock shows 10:36. What time will it show 142 minutes later? (a) 1:08 (b) 12:58 (c) 1:58 (d) 12:48
  15. 15.A clock shows 12:04. What time will it show 16 minutes later? (a) 12:30 (b) 1:20 (c) 12:10 (d) 12:20
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 52 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 2 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 84 minutes? =
  20. 20.A clock shows 6:55. What time will it show 31 minutes later? (a) 7:16 (b) 7:26 (c) 8:26 (d) 7:36
  21. 21.How many degrees does the minute hand of a clock turn in 25 minutes? =
  22. 22.A clock shows 9:28. What time will it show 53 minutes later? (a) 11:21 (b) 10:11 (c) 10:21 (d) 10:31
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  24. 24.A clock shows 2:16. What time will it show 55 minutes later? (a) 3:01 (b) 3:11 (c) 4:11 (d) 3:21
  25. 25.A clock shows 4:03. What time will it show 161 minutes later? (a) 6:44 (b) 7:44 (c) 6:34 (d) 6:54
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 85 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  29. 29.A clock shows 11:15. What time will it show 73 minutes later? (a) 12:18 (b) 12:38 (c) 1:28 (d) 12:28
  30. 30.How many degrees does the hour hand of a clock turn in 13 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  34. 34.A clock shows 3:01. What time will it show 161 minutes later? (a) 5:42 (b) 6:42 (c) 5:52 (d) 5:32
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  38. 38.A clock shows 10:15. What time will it show 47 minutes later? (a) 12:02 (b) 11:12 (c) 11:02 (d) 10:52
  39. 39.How many degrees does the hour hand of a clock turn in 117 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 23 minutes? =

Answer key

  1. 66
  2. 120
  3. 9
  4. 3:21
  5. 10:11
  6. 4:04
  7. 150
  8. 22.5
  9. 84
  10. 155.5
  11. 51.5
  12. 57.5
  13. 11:25
  14. 12:58
  15. 12:20
  16. 138.5
  17. 312
  18. 12
  19. 42
  20. 7:26
  21. 150
  22. 10:21
  23. 54
  24. 3:11
  25. 6:44
  26. 87
  27. 42.5
  28. 173.5
  29. 12:28
  30. 6.5
  31. 106
  32. 36.5
  33. 147
  34. 5:42
  35. 7.5
  36. 120.5
  37. 172
  38. 11:02
  39. 58.5
  40. 138

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