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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 359 · 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 hour hand of a clock turn in 20 minutes? =
  2. 2.A clock shows 11:00. What time will it show 45 minutes later? (a) 11:35 (b) 11:55 (c) 12:45 (d) 11:45
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  4. 4.A clock shows 10:39. What time will it show 50 minutes later? (a) 12:29 (b) 11:19 (c) 11:29 (d) 11:39
  5. 5.A clock shows 12:09. What time will it show 157 minutes later? (a) 2:46 (b) 2:36 (c) 3:46 (d) 2:56
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 4 minutes? =
  8. 8.A clock shows 12:08. What time will it show 139 minutes later? (a) 3:27 (b) 2:27 (c) 2:17 (d) 2:37
  9. 9.How many degrees does the minute hand of a clock turn in 11 minutes? =
  10. 10.A clock shows 4:09. What time will it show 134 minutes later? (a) 7:23 (b) 6:33 (c) 6:23 (d) 6:13
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 43 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 77 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  16. 16.A clock shows 1:15. What time will it show 22 minutes later? (a) 2:37 (b) 1:47 (c) 1:37 (d) 1:27
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 31 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 52 minutes? =
  21. 21.A clock shows 4:54. What time will it show 148 minutes later? (a) 8:22 (b) 7:32 (c) 7:22 (d) 7:12
  22. 22.How many degrees does the hour hand of a clock turn in 134 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 55 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  26. 26.A clock shows 11:05. What time will it show 77 minutes later? (a) 12:12 (b) 12:32 (c) 12:22 (d) 1:22
  27. 27.How many degrees does the hour hand of a clock turn in 11 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 16 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  31. 31.A clock shows 3:06. What time will it show 147 minutes later? (a) 5:43 (b) 5:23 (c) 5:33 (d) 6:33
  32. 32.A clock shows 10:24. What time will it show 133 minutes later? (a) 12:47 (b) 12:27 (c) 1:37 (d) 12:37
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  36. 36.A clock shows 7:21. What time will it show 78 minutes later? (a) 9:39 (b) 8:29 (c) 8:49 (d) 8:39
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 72 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 7 minutes? =
  40. 40.A clock shows 6:42. What time will it show 148 minutes later? (a) 10:10 (b) 9:10 (c) 9:20 (d) 9:00

Answer key

  1. 10
  2. 11:45
  3. 125.5
  4. 11:29
  5. 2:46
  6. 72.5
  7. 24
  8. 2:27
  9. 66
  10. 6:23
  11. 121.5
  12. 21.5
  13. 38.5
  14. 70
  15. 138
  16. 1:37
  17. 49
  18. 112
  19. 186
  20. 312
  21. 7:22
  22. 67
  23. 27.5
  24. 153
  25. 142.5
  26. 12:22
  27. 5.5
  28. 8
  29. 85.5
  30. 21
  31. 5:33
  32. 12:37
  33. 43
  34. 129
  35. 174.5
  36. 8:39
  37. 8
  38. 36
  39. 42
  40. 9:10

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