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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 918 · 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 10:48. What time will it show 72 minutes later? (a) 12:10 (b) 1:00 (c) 12:00 (d) 11:50
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 71 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 22 minutes? =
  7. 7.A clock shows 6:54. What time will it show 52 minutes later? (a) 7:56 (b) 8:46 (c) 7:46 (d) 7:36
  8. 8.A clock shows 1:24. What time will it show 37 minutes later? (a) 3:01 (b) 1:51 (c) 2:01 (d) 2:11
  9. 9.How many degrees does the minute hand of a clock turn in 57 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 11 minutes? =
  13. 13.A clock shows 7:10. What time will it show 32 minutes later? (a) 7:32 (b) 7:52 (c) 8:42 (d) 7:42
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 59 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 5 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  18. 18.A clock shows 2:56. What time will it show 145 minutes later? (a) 5:31 (b) 5:21 (c) 6:21 (d) 5:11
  19. 19.How many degrees does the minute hand of a clock turn in 3 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 53 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 24 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  24. 24.A clock shows 10:49. What time will it show 18 minutes later? (a) 12:07 (b) 10:57 (c) 11:07 (d) 11:17
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  26. 26.A clock shows 8:43. What time will it show 43 minutes later? (a) 9:26 (b) 10:26 (c) 9:16 (d) 9:36
  27. 27.A clock shows 10:49. What time will it show 79 minutes later? (a) 12:08 (b) 1:08 (c) 11:58 (d) 12:18
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 18 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  31. 31.A clock shows 5:25. What time will it show 146 minutes later? (a) 7:51 (b) 8:01 (c) 8:51 (d) 7:41
  32. 32.How many degrees does the minute hand of a clock turn in 7 minutes? =
  33. 33.A clock shows 8:39. What time will it show 134 minutes later? (a) 10:53 (b) 11:53 (c) 11:03 (d) 10:43
  34. 34.A clock shows 8:04. What time will it show 19 minutes later? (a) 8:33 (b) 9:23 (c) 8:13 (d) 8:23
  35. 35.How many degrees does the minute hand of a clock turn in 54 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  40. 40.A clock shows 8:10. What time will it show 51 minutes later? (a) 9:01 (b) 10:01 (c) 9:11 (d) 8:51

Answer key

  1. 12:00
  2. 123
  3. 130
  4. 169
  5. 35.5
  6. 132
  7. 7:46
  8. 2:01
  9. 342
  10. 136
  11. 33.5
  12. 66
  13. 7:42
  14. 120
  15. 354
  16. 30
  17. 175.5
  18. 5:21
  19. 18
  20. 318
  21. 144
  22. 154
  23. 87
  24. 11:07
  25. 84
  26. 9:26
  27. 12:08
  28. 147.5
  29. 108
  30. 56
  31. 7:51
  32. 42
  33. 10:53
  34. 8:23
  35. 324
  36. 5.5
  37. 39.5
  38. 19
  39. 139.5
  40. 9:01

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