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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 127 · 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 6:03. What time will it show 30 minutes later? (a) 7:33 (b) 6:33 (c) 6:43 (d) 6:23
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 45 minutes? =
  4. 4.A clock shows 1:11. What time will it show 89 minutes later? (a) 3:40 (b) 2:50 (c) 2:40 (d) 2:30
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  8. 8.A clock shows 2:42. What time will it show 151 minutes later? (a) 6:13 (b) 5:23 (c) 5:03 (d) 5:13
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 82 minutes? =
  11. 11.A clock shows 6:36. What time will it show 139 minutes later? (a) 9:05 (b) 9:55 (c) 8:55 (d) 8:45
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 152 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 36 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  20. 20.A clock shows 7:48. What time will it show 150 minutes later? (a) 11:18 (b) 10:18 (c) 10:08 (d) 10:28
  21. 21.A clock shows 2:43. What time will it show 163 minutes later? (a) 5:36 (b) 5:26 (c) 6:26 (d) 5:16
  22. 22.How many degrees does the minute hand of a clock turn in 22 minutes? =
  23. 23.A clock shows 11:22. What time will it show 125 minutes later? (a) 1:37 (b) 2:27 (c) 1:27 (d) 1:17
  24. 24.A clock shows 1:04. What time will it show 125 minutes later? (a) 3:19 (b) 3:09 (c) 4:09 (d) 2:59
  25. 25.A clock shows 8:13. What time will it show 118 minutes later? (a) 10:01 (b) 10:21 (c) 10:11 (d) 11:11
  26. 26.How many degrees does the minute hand of a clock turn in 17 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 133 minutes? =
  32. 32.A clock shows 2:33. What time will it show 148 minutes later? (a) 5:01 (b) 6:01 (c) 5:11 (d) 4:51
  33. 33.How many degrees does the hour hand of a clock turn in 86 minutes? =
  34. 34.A clock shows 12:39. What time will it show 14 minutes later? (a) 1:03 (b) 12:43 (c) 1:53 (d) 12:53
  35. 35.A clock shows 5:08. What time will it show 153 minutes later? (a) 7:31 (b) 7:51 (c) 8:41 (d) 7:41
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 49 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 108 minutes? =
  39. 39.A clock shows 1:13. What time will it show 89 minutes later? (a) 2:42 (b) 3:42 (c) 2:52 (d) 2:32
  40. 40.A clock shows 7:12. What time will it show 44 minutes later? (a) 7:56 (b) 7:46 (c) 8:56 (d) 8:06

Answer key

  1. 6:33
  2. 72.5
  3. 270
  4. 2:40
  5. 10.5
  6. 98.5
  7. 37.5
  8. 5:13
  9. 55
  10. 41
  11. 8:55
  12. 151.5
  13. 76
  14. 97
  15. 120
  16. 155
  17. 24
  18. 216
  19. 119.5
  20. 10:18
  21. 5:26
  22. 132
  23. 1:27
  24. 3:09
  25. 10:11
  26. 102
  27. 135
  28. 116.5
  29. 3
  30. 22.5
  31. 66.5
  32. 5:01
  33. 43
  34. 12:53
  35. 7:41
  36. 32.5
  37. 24.5
  38. 54
  39. 2:42
  40. 7:56

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