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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 937 · 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 10:04. What time will it show 145 minutes later? (a) 12:29 (b) 12:39 (c) 12:19 (d) 1:29
  2. 2.A clock shows 5:28. What time will it show 37 minutes later? (a) 6:05 (b) 6:15 (c) 7:05 (d) 5:55
  3. 3.A clock shows 7:56. What time will it show 46 minutes later? (a) 8:42 (b) 8:52 (c) 8:32 (d) 9:42
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 170 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 35 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 129 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  10. 10.A clock shows 11:58. What time will it show 159 minutes later? (a) 2:47 (b) 3:37 (c) 2:27 (d) 2:37
  11. 11.A clock shows 4:08. What time will it show 16 minutes later? (a) 5:24 (b) 4:34 (c) 4:14 (d) 4:24
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  13. 13.A clock shows 9:06. What time will it show 93 minutes later? (a) 10:29 (b) 10:49 (c) 10:39 (d) 11:39
  14. 14.A clock shows 7:23. What time will it show 40 minutes later? (a) 8:13 (b) 7:53 (c) 9:03 (d) 8:03
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  16. 16.A clock shows 2:15. What time will it show 156 minutes later? (a) 5:51 (b) 5:01 (c) 4:41 (d) 4:51
  17. 17.How many degrees does the minute hand of a clock turn in 51 minutes? =
  18. 18.A clock shows 3:25. What time will it show 99 minutes later? (a) 4:54 (b) 5:04 (c) 5:14 (d) 6:04
  19. 19.A clock shows 10:09. What time will it show 133 minutes later? (a) 12:32 (b) 12:22 (c) 1:22 (d) 12:12
  20. 20.A clock shows 5:50. What time will it show 32 minutes later? (a) 6:32 (b) 6:12 (c) 7:22 (d) 6:22
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 109 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 23 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 20 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 100 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  34. 34.A clock shows 12:57. What time will it show 37 minutes later? (a) 1:44 (b) 2:34 (c) 1:24 (d) 1:34
  35. 35.How many degrees does the hour hand of a clock turn in 169 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 59 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 47 minutes? =
  39. 39.A clock shows 10:20. What time will it show 54 minutes later? (a) 11:14 (b) 11:24 (c) 11:04 (d) 12:14
  40. 40.How many degrees does the hour hand of a clock turn in 115 minutes? =

Answer key

  1. 12:29
  2. 6:05
  3. 8:42
  4. 87
  5. 75.5
  6. 85
  7. 210
  8. 64.5
  9. 3.5
  10. 2:37
  11. 4:24
  12. 119.5
  13. 10:39
  14. 8:03
  15. 130.5
  16. 4:51
  17. 306
  18. 5:04
  19. 12:22
  20. 6:22
  21. 122
  22. 91
  23. 54.5
  24. 138
  25. 135.5
  26. 118
  27. 103.5
  28. 91
  29. 10
  30. 125.5
  31. 50
  32. 109.5
  33. 132
  34. 1:34
  35. 84.5
  36. 354
  37. 155.5
  38. 282
  39. 11:14
  40. 57.5

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