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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 984 · 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 12:08. What time will it show 102 minutes later? (a) 1:40 (b) 2:00 (c) 2:50 (d) 1:50
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  5. 5.A clock shows 4:08. What time will it show 128 minutes later? (a) 7:16 (b) 6:06 (c) 6:16 (d) 6:26
  6. 6.A clock shows 3:53. What time will it show 59 minutes later? (a) 5:02 (b) 4:52 (c) 4:42 (d) 5:52
  7. 7.How many degrees does the hour hand of a clock turn in 157 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 125 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 30 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 155 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  15. 15.A clock shows 5:48. What time will it show 37 minutes later? (a) 6:15 (b) 6:25 (c) 6:35 (d) 7:25
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  17. 17.A clock shows 5:23. What time will it show 17 minutes later? (a) 6:40 (b) 5:30 (c) 5:40 (d) 5:50
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  19. 19.A clock shows 10:13. What time will it show 140 minutes later? (a) 1:33 (b) 12:23 (c) 12:33 (d) 12:43
  20. 20.How many degrees does the minute hand of a clock turn in 33 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 12 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
  23. 23.A clock shows 2:03. What time will it show 92 minutes later? (a) 3:45 (b) 4:35 (c) 3:35 (d) 3:25
  24. 24.How many degrees does the hour hand of a clock turn in 180 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 47 minutes? =
  26. 26.A clock shows 5:05. What time will it show 34 minutes later? (a) 5:49 (b) 5:39 (c) 6:39 (d) 5:29
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  28. 28.A clock shows 12:00. What time will it show 147 minutes later? (a) 2:17 (b) 3:27 (c) 2:37 (d) 2:27
  29. 29.A clock shows 2:35. What time will it show 11 minutes later? (a) 2:46 (b) 2:56 (c) 3:46 (d) 2:36
  30. 30.A clock shows 11:04. What time will it show 50 minutes later? (a) 12:04 (b) 11:54 (c) 12:54 (d) 11:44
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  32. 32.A clock shows 7:16. What time will it show 40 minutes later? (a) 7:56 (b) 7:46 (c) 8:06 (d) 8:56
  33. 33.A clock shows 10:23. What time will it show 65 minutes later? (a) 12:28 (b) 11:38 (c) 11:18 (d) 11:28
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
  35. 35.A clock shows 9:16. What time will it show 105 minutes later? (a) 11:11 (b) 11:01 (c) 12:01 (d) 10:51
  36. 36.How many degrees does the minute hand of a clock turn in 58 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 156 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 36 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =

Answer key

  1. 1:50
  2. 154
  3. 157.5
  4. 180
  5. 6:16
  6. 4:52
  7. 78.5
  8. 84.5
  9. 62.5
  10. 84
  11. 180
  12. 77.5
  13. 179.5
  14. 49
  15. 6:25
  16. 177
  17. 5:40
  18. 149.5
  19. 12:33
  20. 198
  21. 72
  22. 77
  23. 3:35
  24. 90
  25. 23.5
  26. 5:39
  27. 8
  28. 2:27
  29. 2:46
  30. 11:54
  31. 17
  32. 7:56
  33. 11:28
  34. 12
  35. 11:01
  36. 348
  37. 136
  38. 78
  39. 216
  40. 56.5

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