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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 492 · 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 2:15. What time will it show 47 minutes later? (a) 4:02 (b) 3:12 (c) 2:52 (d) 3:02
  2. 2.How many degrees does the minute hand of a clock turn in 8 minutes? =
  3. 3.A clock shows 5:45. What time will it show 106 minutes later? (a) 7:21 (b) 7:41 (c) 8:31 (d) 7:31
  4. 4.How many degrees does the hour hand of a clock turn in 78 minutes? =
  5. 5.A clock shows 5:10. What time will it show 72 minutes later? (a) 7:22 (b) 6:12 (c) 6:32 (d) 6:22
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  7. 7.A clock shows 4:17. What time will it show 141 minutes later? (a) 6:48 (b) 7:38 (c) 6:38 (d) 6:28
  8. 8.How many degrees does the hour hand of a clock turn in 143 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 43 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 49 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 11 minutes? =
  18. 18.A clock shows 11:51. What time will it show 10 minutes later? (a) 12:11 (b) 12:01 (c) 1:01 (d) 11:51
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  20. 20.A clock shows 1:31. What time will it show 82 minutes later? (a) 3:53 (b) 3:03 (c) 2:43 (d) 2:53
  21. 21.How many degrees does the minute hand of a clock turn in 53 minutes? =
  22. 22.A clock shows 2:10. What time will it show 40 minutes later? (a) 2:50 (b) 3:00 (c) 2:40 (d) 3:50
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 33 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 174 minutes? =
  29. 29.A clock shows 3:59. What time will it show 21 minutes later? (a) 4:30 (b) 5:20 (c) 4:10 (d) 4:20
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  31. 31.A clock shows 5:28. What time will it show 45 minutes later? (a) 6:23 (b) 7:13 (c) 6:03 (d) 6:13
  32. 32.How many degrees does the minute hand of a clock turn in 58 minutes? =
  33. 33.A clock shows 9:47. What time will it show 45 minutes later? (a) 10:22 (b) 10:32 (c) 11:32 (d) 10:42
  34. 34.How many degrees does the minute hand of a clock turn in 32 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  36. 36.A clock shows 1:29. What time will it show 21 minutes later? (a) 1:40 (b) 2:50 (c) 1:50 (d) 2:00
  37. 37.A clock shows 2:12. What time will it show 87 minutes later? (a) 3:39 (b) 3:29 (c) 3:49 (d) 4:39
  38. 38.A clock shows 12:00. What time will it show 112 minutes later? (a) 1:42 (b) 2:02 (c) 1:52 (d) 2:52
  39. 39.A clock shows 5:30. What time will it show 96 minutes later? (a) 8:06 (b) 7:16 (c) 6:56 (d) 7:06
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =

Answer key

  1. 3:02
  2. 48
  3. 7:31
  4. 39
  5. 6:22
  6. 174
  7. 6:38
  8. 71.5
  9. 122.5
  10. 258
  11. 17
  12. 32.5
  13. 114
  14. 108
  15. 131
  16. 294
  17. 5.5
  18. 12:01
  19. 129
  20. 2:53
  21. 318
  22. 2:50
  23. 170.5
  24. 171
  25. 84.5
  26. 16.5
  27. 8
  28. 87
  29. 4:20
  30. 26.5
  31. 6:13
  32. 348
  33. 10:32
  34. 192
  35. 32.5
  36. 1:50
  37. 3:39
  38. 1:52
  39. 7:06
  40. 96

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