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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 631 · 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 5:40. What time will it show 103 minutes later? (a) 7:23 (b) 7:33 (c) 8:23 (d) 7:13
  2. 2.How many degrees does the minute hand of a clock turn in 2 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  4. 4.A clock shows 1:58. What time will it show 167 minutes later? (a) 4:55 (b) 4:45 (c) 5:45 (d) 4:35
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  6. 6.A clock shows 6:30. What time will it show 159 minutes later? (a) 10:09 (b) 9:19 (c) 9:09 (d) 8:59
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 43 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  11. 11.A clock shows 4:35. What time will it show 156 minutes later? (a) 7:11 (b) 7:01 (c) 7:21 (d) 8:11
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 47 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 21 minutes? =
  16. 16.A clock shows 4:12. What time will it show 45 minutes later? (a) 4:57 (b) 5:07 (c) 4:47 (d) 5:57
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  19. 19.A clock shows 6:59. What time will it show 82 minutes later? (a) 8:11 (b) 9:21 (c) 8:31 (d) 8:21
  20. 20.A clock shows 10:08. What time will it show 150 minutes later? (a) 12:48 (b) 12:38 (c) 1:38 (d) 12:28
  21. 21.A clock shows 8:57. What time will it show 34 minutes later? (a) 9:31 (b) 9:21 (c) 10:31 (d) 9:41
  22. 22.A clock shows 1:28. What time will it show 15 minutes later? (a) 2:43 (b) 1:43 (c) 1:33 (d) 1:53
  23. 23.How many degrees does the minute hand of a clock turn in 19 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  26. 26.A clock shows 9:55. What time will it show 153 minutes later? (a) 12:38 (b) 1:28 (c) 12:18 (d) 12:28
  27. 27.How many degrees does the minute hand of a clock turn in 44 minutes? =
  28. 28.A clock shows 3:45. What time will it show 27 minutes later? (a) 4:12 (b) 5:12 (c) 4:22 (d) 4:02
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 55 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 7 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  33. 33.A clock shows 1:58. What time will it show 137 minutes later? (a) 5:15 (b) 4:05 (c) 4:25 (d) 4:15
  34. 34.A clock shows 9:36. What time will it show 165 minutes later? (a) 12:31 (b) 12:21 (c) 1:21 (d) 12:11
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 5 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 124 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =

Answer key

  1. 7:23
  2. 12
  3. 154
  4. 4:45
  5. 165.5
  6. 9:09
  7. 63
  8. 258
  9. 32
  10. 91.5
  11. 7:11
  12. 136.5
  13. 282
  14. 139.5
  15. 126
  16. 4:57
  17. 101.5
  18. 87
  19. 8:21
  20. 12:38
  21. 9:31
  22. 1:43
  23. 114
  24. 162
  25. 74
  26. 12:28
  27. 264
  28. 4:12
  29. 123
  30. 330
  31. 42
  32. 146
  33. 4:15
  34. 12:21
  35. 0.5
  36. 30
  37. 7
  38. 10
  39. 62
  40. 51

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