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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 660 · 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 7:03. What time will it show 150 minutes later? (a) 9:23 (b) 10:33 (c) 9:43 (d) 9:33
  2. 2.A clock shows 12:14. What time will it show 11 minutes later? (a) 12:15 (b) 12:25 (c) 12:35 (d) 1:25
  3. 3.A clock shows 4:19. What time will it show 44 minutes later? (a) 5:03 (b) 4:53 (c) 5:13 (d) 6:03
  4. 4.How many degrees does the hour hand of a clock turn in 77 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 163 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 11 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  13. 13.A clock shows 1:45. What time will it show 43 minutes later? (a) 3:28 (b) 2:18 (c) 2:28 (d) 2:38
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 53 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 138 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 23 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 52 minutes? =
  22. 22.A clock shows 1:34. What time will it show 31 minutes later? (a) 1:55 (b) 2:05 (c) 3:05 (d) 2:15
  23. 23.A clock shows 12:53. What time will it show 29 minutes later? (a) 1:22 (b) 1:12 (c) 1:32 (d) 2:22
  24. 24.How many degrees does the minute hand of a clock turn in 22 minutes? =
  25. 25.A clock shows 12:11. What time will it show 44 minutes later? (a) 12:45 (b) 1:55 (c) 1:05 (d) 12:55
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  27. 27.A clock shows 11:02. What time will it show 66 minutes later? (a) 1:08 (b) 11:58 (c) 12:08 (d) 12:18
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  29. 29.A clock shows 2:39. What time will it show 51 minutes later? (a) 3:20 (b) 4:30 (c) 3:30 (d) 3:40
  30. 30.A clock shows 3:39. What time will it show 52 minutes later? (a) 5:31 (b) 4:41 (c) 4:31 (d) 4:21
  31. 31.How many degrees does the hour hand of a clock turn in 56 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 47 minutes? =
  33. 33.A clock shows 3:08. What time will it show 57 minutes later? (a) 5:05 (b) 3:55 (c) 4:05 (d) 4:15
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  35. 35.A clock shows 9:26. What time will it show 138 minutes later? (a) 12:44 (b) 11:54 (c) 11:44 (d) 11:34
  36. 36.How many degrees does the hour hand of a clock turn in 120 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  38. 38.A clock shows 11:49. What time will it show 45 minutes later? (a) 12:24 (b) 12:44 (c) 12:34 (d) 1:34
  39. 39.How many degrees does the minute hand of a clock turn in 13 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =

Answer key

  1. 9:33
  2. 12:25
  3. 5:03
  4. 38.5
  5. 140
  6. 97.5
  7. 37.5
  8. 156.5
  9. 81.5
  10. 66
  11. 86
  12. 112
  13. 2:28
  14. 75.5
  15. 166.5
  16. 86.5
  17. 318
  18. 69
  19. 138
  20. 5.5
  21. 312
  22. 2:05
  23. 1:22
  24. 132
  25. 12:55
  26. 154
  27. 12:08
  28. 180
  29. 3:30
  30. 4:31
  31. 28
  32. 282
  33. 4:05
  34. 25
  35. 11:44
  36. 60
  37. 17
  38. 12:34
  39. 78
  40. 78

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