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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 970 · 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 9:22. What time will it show 109 minutes later? (a) 11:01 (b) 12:11 (c) 11:11 (d) 11:21
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  3. 3.A clock shows 9:58. What time will it show 123 minutes later? (a) 1:01 (b) 12:01 (c) 12:11 (d) 11:51
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  6. 6.A clock shows 7:41. What time will it show 37 minutes later? (a) 8:08 (b) 9:18 (c) 8:18 (d) 8:28
  7. 7.A clock shows 10:08. What time will it show 13 minutes later? (a) 10:21 (b) 10:11 (c) 10:31 (d) 11:21
  8. 8.A clock shows 6:25. What time will it show 62 minutes later? (a) 8:27 (b) 7:37 (c) 7:17 (d) 7:27
  9. 9.How many degrees does the minute hand of a clock turn in 44 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 26 minutes? =
  13. 13.A clock shows 1:03. What time will it show 15 minutes later? (a) 2:18 (b) 1:08 (c) 1:18 (d) 1:28
  14. 14.How many degrees does the minute hand of a clock turn in 31 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 17 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  17. 17.A clock shows 12:01. What time will it show 164 minutes later? (a) 2:55 (b) 2:45 (c) 3:45 (d) 2:35
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 36 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 71 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 58 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 30 minutes? =
  24. 24.A clock shows 4:00. What time will it show 106 minutes later? (a) 6:46 (b) 5:36 (c) 5:56 (d) 5:46
  25. 25.A clock shows 4:26. What time will it show 18 minutes later? (a) 5:44 (b) 4:54 (c) 4:34 (d) 4:44
  26. 26.How many degrees does the hour hand of a clock turn in 110 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 121 minutes? =
  28. 28.A clock shows 10:19. What time will it show 111 minutes later? (a) 1:10 (b) 12:00 (c) 12:10 (d) 12:20
  29. 29.A clock shows 2:53. What time will it show 167 minutes later? (a) 6:40 (b) 5:40 (c) 5:50 (d) 5:30
  30. 30.A clock shows 9:25. What time will it show 100 minutes later? (a) 11:05 (b) 11:15 (c) 12:05 (d) 10:55
  31. 31.How many degrees does the minute hand of a clock turn in 9 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 82 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 5 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  37. 37.A clock shows 9:36. What time will it show 17 minutes later? (a) 9:53 (b) 10:53 (c) 10:03 (d) 9:43
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 51 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 92 minutes? =

Answer key

  1. 11:11
  2. 141
  3. 12:01
  4. 151
  5. 30
  6. 8:18
  7. 10:21
  8. 7:27
  9. 264
  10. 85.5
  11. 70.5
  12. 156
  13. 1:18
  14. 186
  15. 102
  16. 76
  17. 2:45
  18. 96.5
  19. 19.5
  20. 216
  21. 35.5
  22. 29
  23. 180
  24. 5:46
  25. 4:44
  26. 55
  27. 60.5
  28. 12:10
  29. 5:40
  30. 11:05
  31. 54
  32. 45
  33. 41
  34. 151
  35. 30
  36. 16.5
  37. 9:53
  38. 67.5
  39. 306
  40. 46

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