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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 1 · 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 5:32. What time will it show 119 minutes later? (a) 7:41 (b) 7:21 (c) 8:31 (d) 7:31
  2. 2.A clock shows 12:26. What time will it show 66 minutes later? (a) 1:22 (b) 2:32 (c) 1:32 (d) 1:42
  3. 3.How many degrees does the hour hand of a clock turn in 98 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  6. 6.A clock shows 1:13. What time will it show 41 minutes later? (a) 1:44 (b) 2:54 (c) 1:54 (d) 2:04
  7. 7.A clock shows 6:15. What time will it show 84 minutes later? (a) 7:49 (b) 7:29 (c) 8:39 (d) 7:39
  8. 8.How many degrees does the hour hand of a clock turn in 32 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 24 minutes? =
  11. 11.A clock shows 5:05. What time will it show 164 minutes later? (a) 7:59 (b) 8:49 (c) 7:39 (d) 7:49
  12. 12.How many degrees does the hour hand of a clock turn in 176 minutes? =
  13. 13.A clock shows 3:16. What time will it show 11 minutes later? (a) 3:17 (b) 3:27 (c) 4:27 (d) 3:37
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 12 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 66 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 93 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  21. 21.A clock shows 11:23. What time will it show 90 minutes later? (a) 1:03 (b) 12:43 (c) 12:53 (d) 1:53
  22. 22.A clock shows 2:55. What time will it show 33 minutes later? (a) 4:28 (b) 3:38 (c) 3:18 (d) 3:28
  23. 23.A clock shows 12:07. What time will it show 35 minutes later? (a) 12:42 (b) 12:52 (c) 1:42 (d) 12:32
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 55 minutes? =
  26. 26.A clock shows 5:59. What time will it show 69 minutes later? (a) 8:08 (b) 6:58 (c) 7:18 (d) 7:08
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 13 minutes? =
  29. 29.A clock shows 5:14. What time will it show 123 minutes later? (a) 7:27 (b) 8:17 (c) 7:17 (d) 7:07
  30. 30.A clock shows 6:01. What time will it show 95 minutes later? (a) 7:46 (b) 8:36 (c) 7:26 (d) 7:36
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  32. 32.A clock shows 9:07. What time will it show 21 minutes later? (a) 9:18 (b) 9:38 (c) 9:28 (d) 10:28
  33. 33.How many degrees does the minute hand of a clock turn in 19 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  35. 35.A clock shows 11:30. What time will it show 121 minutes later? (a) 1:21 (b) 1:41 (c) 2:31 (d) 1:31
  36. 36.How many degrees does the minute hand of a clock turn in 26 minutes? =
  37. 37.A clock shows 8:31. What time will it show 29 minutes later? (a) 10:00 (b) 9:10 (c) 8:50 (d) 9:00
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  39. 39.A clock shows 8:21. What time will it show 14 minutes later? (a) 8:45 (b) 9:35 (c) 8:35 (d) 8:25
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =

Answer key

  1. 7:31
  2. 1:32
  3. 49
  4. 179.5
  5. 40.5
  6. 1:54
  7. 7:39
  8. 16
  9. 137.5
  10. 144
  11. 7:49
  12. 88
  13. 3:27
  14. 158.5
  15. 23
  16. 72
  17. 33
  18. 5.5
  19. 46.5
  20. 156.5
  21. 12:53
  22. 3:28
  23. 12:42
  24. 116.5
  25. 330
  26. 7:08
  27. 20.5
  28. 78
  29. 7:17
  30. 7:36
  31. 44
  32. 9:28
  33. 114
  34. 28
  35. 1:31
  36. 156
  37. 9:00
  38. 176.5
  39. 8:35
  40. 109.5

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