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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 728 · 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 3:11? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 38 minutes? =
  3. 3.A clock shows 2:33. What time will it show 81 minutes later? (a) 3:54 (b) 4:04 (c) 4:54 (d) 3:44
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  5. 5.A clock shows 2:34. What time will it show 158 minutes later? (a) 6:12 (b) 5:02 (c) 5:12 (d) 5:22
  6. 6.How many degrees does the minute hand of a clock turn in 39 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 27 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 49 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 49 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  13. 13.A clock shows 11:07. What time will it show 73 minutes later? (a) 12:10 (b) 1:20 (c) 12:20 (d) 12:30
  14. 14.How many degrees does the hour hand of a clock turn in 130 minutes? =
  15. 15.A clock shows 11:43. What time will it show 45 minutes later? (a) 1:28 (b) 12:28 (c) 12:38 (d) 12:18
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  18. 18.A clock shows 4:30. What time will it show 43 minutes later? (a) 5:13 (b) 5:03 (c) 6:13 (d) 5:23
  19. 19.How many degrees does the minute hand of a clock turn in 3 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  21. 21.A clock shows 4:01. What time will it show 118 minutes later? (a) 6:09 (b) 6:59 (c) 5:59 (d) 5:49
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  23. 23.A clock shows 3:59. What time will it show 127 minutes later? (a) 7:06 (b) 5:56 (c) 6:06 (d) 6:16
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  25. 25.A clock shows 9:21. What time will it show 65 minutes later? (a) 10:36 (b) 10:16 (c) 11:26 (d) 10:26
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  27. 27.A clock shows 4:28. What time will it show 73 minutes later? (a) 5:31 (b) 6:41 (c) 5:41 (d) 5:51
  28. 28.How many degrees does the minute hand of a clock turn in 36 minutes? =
  29. 29.A clock shows 2:04. What time will it show 11 minutes later? (a) 3:15 (b) 2:25 (c) 2:15 (d) 2:05
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 76 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  33. 33.A clock shows 8:23. What time will it show 124 minutes later? (a) 10:37 (b) 10:17 (c) 11:27 (d) 10:27
  34. 34.A clock shows 10:06. What time will it show 32 minutes later? (a) 11:38 (b) 10:28 (c) 10:38 (d) 10:48
  35. 35.A clock shows 12:13. What time will it show 131 minutes later? (a) 2:14 (b) 3:24 (c) 2:34 (d) 2:24
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 146 minutes? =

Answer key

  1. 29.5
  2. 19
  3. 3:54
  4. 162
  5. 5:12
  6. 234
  7. 13.5
  8. 24.5
  9. 100
  10. 294
  11. 109.5
  12. 110.5
  13. 12:20
  14. 65
  15. 12:28
  16. 171.5
  17. 63
  18. 5:13
  19. 18
  20. 19.5
  21. 5:59
  22. 87
  23. 6:06
  24. 132.5
  25. 10:26
  26. 85
  27. 5:41
  28. 216
  29. 2:15
  30. 22
  31. 38
  32. 23
  33. 10:27
  34. 10:38
  35. 2:24
  36. 61
  37. 107
  38. 24
  39. 90.5
  40. 73

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