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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 199 · 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 11:56? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  3. 3.A clock shows 3:41. What time will it show 47 minutes later? (a) 4:28 (b) 5:28 (c) 4:18 (d) 4:38
  4. 4.How many degrees does the minute hand of a clock turn in 58 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 35 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 49 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 50 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 157 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  13. 13.A clock shows 6:10. What time will it show 35 minutes later? (a) 6:45 (b) 6:55 (c) 6:35 (d) 7:45
  14. 14.How many degrees does the minute hand of a clock turn in 41 minutes? =
  15. 15.A clock shows 2:56. What time will it show 126 minutes later? (a) 6:02 (b) 5:02 (c) 5:12 (d) 4:52
  16. 16.A clock shows 12:26. What time will it show 35 minutes later? (a) 1:11 (b) 1:01 (c) 12:51 (d) 2:01
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  18. 18.A clock shows 8:45. What time will it show 16 minutes later? (a) 9:01 (b) 9:11 (c) 8:51 (d) 10:01
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  21. 21.A clock shows 1:38. What time will it show 49 minutes later? (a) 2:37 (b) 3:27 (c) 2:17 (d) 2:27
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  23. 23.A clock shows 5:18. What time will it show 45 minutes later? (a) 6:03 (b) 6:13 (c) 5:53 (d) 7:03
  24. 24.A clock shows 11:42. What time will it show 89 minutes later? (a) 2:11 (b) 1:01 (c) 1:11 (d) 1:21
  25. 25.A clock shows 9:03. What time will it show 41 minutes later? (a) 9:54 (b) 9:34 (c) 10:44 (d) 9:44
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  28. 28.A clock shows 10:35. What time will it show 37 minutes later? (a) 11:12 (b) 12:12 (c) 11:02 (d) 11:22
  29. 29.How many degrees does the hour hand of a clock turn in 110 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 23 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  32. 32.A clock shows 2:44. What time will it show 80 minutes later? (a) 3:54 (b) 4:04 (c) 4:14 (d) 5:04
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  36. 36.A clock shows 8:33. What time will it show 11 minutes later? (a) 8:54 (b) 9:44 (c) 8:34 (d) 8:44
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 34 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 144 minutes? =
  40. 40.A clock shows 7:07. What time will it show 110 minutes later? (a) 8:57 (b) 8:47 (c) 9:57 (d) 9:07

Answer key

  1. 22
  2. 157.5
  3. 4:28
  4. 348
  5. 173.5
  6. 17.5
  7. 294
  8. 83.5
  9. 178
  10. 300
  11. 78.5
  12. 109
  13. 6:45
  14. 246
  15. 5:02
  16. 1:01
  17. 88
  18. 9:01
  19. 87
  20. 5
  21. 2:27
  22. 25.5
  23. 6:03
  24. 1:11
  25. 9:44
  26. 154
  27. 77.5
  28. 11:12
  29. 55
  30. 138
  31. 139.5
  32. 4:04
  33. 122.5
  34. 54.5
  35. 146.5
  36. 8:44
  37. 13
  38. 17
  39. 72
  40. 8:57

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