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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 382 · 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 hour hand of a clock turn in 153 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  3. 3.A clock shows 3:13. What time will it show 87 minutes later? (a) 4:50 (b) 4:30 (c) 4:40 (d) 5:40
  4. 4.A clock shows 2:05. What time will it show 141 minutes later? (a) 4:16 (b) 4:36 (c) 4:26 (d) 5:26
  5. 5.How many degrees does the hour hand of a clock turn in 54 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 35 minutes? =
  9. 9.A clock shows 5:51. What time will it show 15 minutes later? (a) 6:06 (b) 5:56 (c) 7:06 (d) 6:16
  10. 10.How many degrees does the minute hand of a clock turn in 14 minutes? =
  11. 11.A clock shows 11:42. What time will it show 149 minutes later? (a) 2:01 (b) 2:21 (c) 3:11 (d) 2:11
  12. 12.A clock shows 3:06. What time will it show 42 minutes later? (a) 3:58 (b) 3:38 (c) 3:48 (d) 4:48
  13. 13.A clock shows 12:29. What time will it show 71 minutes later? (a) 1:30 (b) 1:50 (c) 2:40 (d) 1:40
  14. 14.How many degrees does the minute hand of a clock turn in 43 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  17. 17.A clock shows 12:59. What time will it show 84 minutes later? (a) 2:13 (b) 2:33 (c) 2:23 (d) 3:23
  18. 18.A clock shows 7:13. What time will it show 117 minutes later? (a) 9:20 (b) 10:10 (c) 9:00 (d) 9:10
  19. 19.A clock shows 1:07. What time will it show 70 minutes later? (a) 2:07 (b) 3:17 (c) 2:17 (d) 2:27
  20. 20.A clock shows 6:37. What time will it show 61 minutes later? (a) 7:48 (b) 7:38 (c) 8:38 (d) 7:28
  21. 21.How many degrees does the minute hand of a clock turn in 36 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  23. 23.A clock shows 2:19. What time will it show 59 minutes later? (a) 3:08 (b) 3:28 (c) 4:18 (d) 3:18
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 18 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 156 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  28. 28.A clock shows 2:17. What time will it show 35 minutes later? (a) 3:02 (b) 2:42 (c) 3:52 (d) 2:52
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  30. 30.A clock shows 9:18. What time will it show 45 minutes later? (a) 10:03 (b) 10:13 (c) 9:53 (d) 11:03
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  32. 32.A clock shows 9:00. What time will it show 109 minutes later? (a) 10:39 (b) 10:49 (c) 11:49 (d) 10:59
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 155 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  37. 37.A clock shows 7:20. What time will it show 91 minutes later? (a) 9:51 (b) 8:41 (c) 8:51 (d) 9:01
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =

Answer key

  1. 76.5
  2. 172
  3. 4:40
  4. 4:26
  5. 27
  6. 74.5
  7. 146
  8. 210
  9. 6:06
  10. 84
  11. 2:11
  12. 3:48
  13. 1:40
  14. 258
  15. 9.5
  16. 119.5
  17. 2:23
  18. 9:10
  19. 2:17
  20. 7:38
  21. 216
  22. 56
  23. 3:18
  24. 10.5
  25. 9
  26. 78
  27. 26.5
  28. 2:52
  29. 168
  30. 10:03
  31. 79.5
  32. 10:49
  33. 169.5
  34. 25.5
  35. 77.5
  36. 17.5
  37. 8:51
  38. 3.5
  39. 27.5
  40. 125

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