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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 998 · 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 7 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 11 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 138 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  6. 6.A clock shows 2:32. What time will it show 145 minutes later? (a) 5:57 (b) 4:47 (c) 5:07 (d) 4:57
  7. 7.How many degrees does the minute hand of a clock turn in 32 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 23 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 2 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  11. 11.A clock shows 9:00. What time will it show 154 minutes later? (a) 11:44 (b) 11:24 (c) 11:34 (d) 12:34
  12. 12.A clock shows 4:18. What time will it show 159 minutes later? (a) 7:07 (b) 7:57 (c) 6:47 (d) 6:57
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 11 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 10 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  19. 19.A clock shows 6:13. What time will it show 17 minutes later? (a) 6:20 (b) 6:30 (c) 7:30 (d) 6:40
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 14 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 36 minutes? =
  23. 23.A clock shows 3:29. What time will it show 32 minutes later? (a) 5:01 (b) 4:11 (c) 3:51 (d) 4:01
  24. 24.A clock shows 3:21. What time will it show 84 minutes later? (a) 4:45 (b) 4:55 (c) 4:35 (d) 5:45
  25. 25.A clock shows 9:25. What time will it show 46 minutes later? (a) 11:11 (b) 10:21 (c) 10:01 (d) 10:11
  26. 26.A clock shows 1:23. What time will it show 67 minutes later? (a) 3:30 (b) 2:30 (c) 2:40 (d) 2:20
  27. 27.A clock shows 9:41. What time will it show 59 minutes later? (a) 10:30 (b) 10:50 (c) 11:40 (d) 10:40
  28. 28.A clock shows 4:07. What time will it show 122 minutes later? (a) 6:09 (b) 7:09 (c) 6:19 (d) 5:59
  29. 29.A clock shows 6:57. What time will it show 47 minutes later? (a) 8:44 (b) 7:54 (c) 7:44 (d) 7:34
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  33. 33.A clock shows 6:25. What time will it show 135 minutes later? (a) 8:50 (b) 9:40 (c) 8:40 (d) 8:30
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  35. 35.A clock shows 12:05. What time will it show 32 minutes later? (a) 12:47 (b) 12:27 (c) 1:37 (d) 12:37
  36. 36.A clock shows 10:15. What time will it show 67 minutes later? (a) 11:22 (b) 12:22 (c) 11:32 (d) 11:12
  37. 37.How many degrees does the hour hand of a clock turn in 142 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 29 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 56 minutes? =

Answer key

  1. 42
  2. 102
  3. 66
  4. 69
  5. 20
  6. 4:57
  7. 192
  8. 138
  9. 12
  10. 71
  11. 11:34
  12. 6:57
  13. 85.5
  14. 18
  15. 5.5
  16. 165
  17. 60
  18. 55.5
  19. 6:30
  20. 3
  21. 7
  22. 216
  23. 4:01
  24. 4:45
  25. 10:11
  26. 2:30
  27. 10:40
  28. 6:09
  29. 7:44
  30. 136.5
  31. 52.5
  32. 130.5
  33. 8:40
  34. 23.5
  35. 12:37
  36. 11:22
  37. 71
  38. 161
  39. 174
  40. 336

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