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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 299 · 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.A clock shows 11:51. What time will it show 22 minutes later? (a) 12:23 (b) 1:13 (c) 12:03 (d) 12:13
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 70 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 43 minutes? =
  5. 5.A clock shows 3:17. What time will it show 57 minutes later? (a) 4:14 (b) 5:14 (c) 4:04 (d) 4:24
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 163 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 4 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 40 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  11. 11.A clock shows 2:03. What time will it show 169 minutes later? (a) 5:02 (b) 4:42 (c) 4:52 (d) 5:52
  12. 12.How many degrees does the minute hand of a clock turn in 12 minutes? =
  13. 13.A clock shows 2:56. What time will it show 10 minutes later? (a) 2:56 (b) 3:16 (c) 4:06 (d) 3:06
  14. 14.A clock shows 3:59. What time will it show 57 minutes later? (a) 4:56 (b) 5:06 (c) 5:56 (d) 4:46
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  16. 16.A clock shows 9:49. What time will it show 43 minutes later? (a) 10:32 (b) 11:32 (c) 10:22 (d) 10:42
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 111 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  23. 23.A clock shows 5:13. What time will it show 16 minutes later? (a) 5:39 (b) 5:29 (c) 5:19 (d) 6:29
  24. 24.How many degrees does the minute hand of a clock turn in 38 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 24 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  27. 27.A clock shows 1:05. What time will it show 107 minutes later? (a) 2:42 (b) 2:52 (c) 3:52 (d) 3:02
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  29. 29.A clock shows 11:51. What time will it show 169 minutes later? (a) 3:40 (b) 2:30 (c) 2:40 (d) 2:50
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  31. 31.A clock shows 12:29. What time will it show 15 minutes later? (a) 12:34 (b) 1:44 (c) 12:54 (d) 12:44
  32. 32.A clock shows 4:52. What time will it show 40 minutes later? (a) 6:32 (b) 5:42 (c) 5:32 (d) 5:22
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 152 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 31 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 51 minutes? =
  38. 38.A clock shows 5:41. What time will it show 165 minutes later? (a) 9:26 (b) 8:36 (c) 8:26 (d) 8:16
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =

Answer key

  1. 12:13
  2. 22.5
  3. 35
  4. 21.5
  5. 4:14
  6. 43
  7. 81.5
  8. 24
  9. 20
  10. 109.5
  11. 4:52
  12. 72
  13. 3:06
  14. 4:56
  15. 65.5
  16. 10:32
  17. 57
  18. 78
  19. 55.5
  20. 84
  21. 95.5
  22. 27
  23. 5:29
  24. 228
  25. 144
  26. 17.5
  27. 2:52
  28. 147.5
  29. 2:40
  30. 169
  31. 12:44
  32. 5:32
  33. 19.5
  34. 76
  35. 186
  36. 119.5
  37. 306
  38. 8:26
  39. 43
  40. 100

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