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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 312 · 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.How many degrees does the minute hand of a clock turn in 44 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  4. 4.A clock shows 1:52. What time will it show 114 minutes later? (a) 3:56 (b) 4:46 (c) 3:36 (d) 3:46
  5. 5.How many degrees does the minute hand of a clock turn in 43 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 8 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 53 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 31 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 147 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 132 minutes? =
  12. 12.A clock shows 8:18. What time will it show 141 minutes later? (a) 11:39 (b) 10:49 (c) 10:39 (d) 10:29
  13. 13.How many degrees does the hour hand of a clock turn in 34 minutes? =
  14. 14.A clock shows 10:04. What time will it show 66 minutes later? (a) 12:10 (b) 11:20 (c) 11:00 (d) 11:10
  15. 15.How many degrees does the hour hand of a clock turn in 139 minutes? =
  16. 16.A clock shows 10:27. What time will it show 101 minutes later? (a) 12:08 (b) 12:18 (c) 1:08 (d) 11:58
  17. 17.A clock shows 5:32. What time will it show 63 minutes later? (a) 6:45 (b) 7:35 (c) 6:25 (d) 6:35
  18. 18.A clock shows 6:20. What time will it show 63 minutes later? (a) 8:23 (b) 7:13 (c) 7:33 (d) 7:23
  19. 19.A clock shows 8:04. What time will it show 20 minutes later? (a) 9:24 (b) 8:14 (c) 8:24 (d) 8:34
  20. 20.A clock shows 10:00. What time will it show 111 minutes later? (a) 11:41 (b) 11:51 (c) 12:51 (d) 12:01
  21. 21.How many degrees does the hour hand of a clock turn in 119 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 30 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  25. 25.A clock shows 9:41. What time will it show 146 minutes later? (a) 12:07 (b) 11:57 (c) 12:17 (d) 1:07
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 26 minutes? =
  28. 28.A clock shows 5:15. What time will it show 31 minutes later? (a) 5:36 (b) 5:46 (c) 6:46 (d) 5:56
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  33. 33.A clock shows 11:49. What time will it show 138 minutes later? (a) 2:17 (b) 1:57 (c) 3:07 (d) 2:07
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  35. 35.A clock shows 4:09. What time will it show 11 minutes later? (a) 4:30 (b) 5:20 (c) 4:10 (d) 4:20
  36. 36.A clock shows 8:00. What time will it show 156 minutes later? (a) 11:36 (b) 10:26 (c) 10:46 (d) 10:36
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  39. 39.A clock shows 4:30. What time will it show 91 minutes later? (a) 5:51 (b) 7:01 (c) 6:01 (d) 6:11
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =

Answer key

  1. 264
  2. 161.5
  3. 1
  4. 3:46
  5. 258
  6. 48
  7. 318
  8. 186
  9. 73.5
  10. 59
  11. 66
  12. 10:39
  13. 17
  14. 11:10
  15. 69.5
  16. 12:08
  17. 6:35
  18. 7:23
  19. 8:24
  20. 11:51
  21. 59.5
  22. 180
  23. 120
  24. 173.5
  25. 12:07
  26. 100.5
  27. 156
  28. 5:46
  29. 116.5
  30. 19
  31. 5.5
  32. 58.5
  33. 2:07
  34. 31
  35. 4:20
  36. 10:36
  37. 42.5
  38. 36.5
  39. 6:01
  40. 26

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