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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 632 · 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 9:14? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  3. 3.A clock shows 2:36. What time will it show 127 minutes later? (a) 5:43 (b) 4:33 (c) 4:43 (d) 4:53
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  5. 5.A clock shows 6:22. What time will it show 18 minutes later? (a) 6:40 (b) 7:40 (c) 6:30 (d) 6:50
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 83 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 54 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  10. 10.A clock shows 1:23. What time will it show 16 minutes later? (a) 2:39 (b) 1:39 (c) 1:49 (d) 1:29
  11. 11.A clock shows 12:02. What time will it show 132 minutes later? (a) 2:24 (b) 3:14 (c) 2:14 (d) 2:04
  12. 12.A clock shows 4:05. What time will it show 12 minutes later? (a) 4:17 (b) 4:07 (c) 5:17 (d) 4:27
  13. 13.How many degrees does the minute hand of a clock turn in 2 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 37 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 14 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  17. 17.A clock shows 9:09. What time will it show 16 minutes later? (a) 10:25 (b) 9:35 (c) 9:25 (d) 9:15
  18. 18.A clock shows 10:40. What time will it show 25 minutes later? (a) 11:15 (b) 12:05 (c) 10:55 (d) 11:05
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  21. 21.A clock shows 5:13. What time will it show 43 minutes later? (a) 5:46 (b) 6:56 (c) 6:06 (d) 5:56
  22. 22.How many degrees does the minute hand of a clock turn in 43 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 34 minutes? =
  24. 24.A clock shows 6:47. What time will it show 62 minutes later? (a) 7:59 (b) 8:49 (c) 7:39 (d) 7:49
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  26. 26.A clock shows 8:03. What time will it show 169 minutes later? (a) 10:42 (b) 11:52 (c) 10:52 (d) 11:02
  27. 27.How many degrees does the hour hand of a clock turn in 126 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  31. 31.A clock shows 12:51. What time will it show 124 minutes later? (a) 2:45 (b) 2:55 (c) 3:05 (d) 3:55
  32. 32.How many degrees does the minute hand of a clock turn in 35 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 23 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  38. 38.A clock shows 7:16. What time will it show 116 minutes later? (a) 9:12 (b) 10:12 (c) 9:22 (d) 9:02
  39. 39.How many degrees does the minute hand of a clock turn in 4 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =

Answer key

  1. 167
  2. 118.5
  3. 4:43
  4. 6.5
  5. 6:40
  6. 168
  7. 41.5
  8. 27
  9. 132
  10. 1:39
  11. 2:14
  12. 4:17
  13. 12
  14. 18.5
  15. 84
  16. 44
  17. 9:25
  18. 11:05
  19. 54.5
  20. 120.5
  21. 5:56
  22. 258
  23. 204
  24. 7:49
  25. 92
  26. 10:52
  27. 63
  28. 95.5
  29. 55
  30. 5
  31. 2:55
  32. 210
  33. 167
  34. 11.5
  35. 167.5
  36. 53
  37. 34
  38. 9:12
  39. 24
  40. 153.5

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