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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 378 · 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.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 2 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 22 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  13. 13.A clock shows 6:05. What time will it show 144 minutes later? (a) 9:29 (b) 8:19 (c) 8:39 (d) 8:29
  14. 14.A clock shows 9:21. What time will it show 31 minutes later? (a) 9:52 (b) 10:02 (c) 10:52 (d) 9:42
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 26 minutes? =
  17. 17.A clock shows 11:00. What time will it show 160 minutes later? (a) 1:30 (b) 1:40 (c) 1:50 (d) 2:40
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  19. 19.A clock shows 6:02. What time will it show 95 minutes later? (a) 7:27 (b) 7:37 (c) 8:37 (d) 7:47
  20. 20.A clock shows 6:12. What time will it show 141 minutes later? (a) 8:23 (b) 8:33 (c) 8:43 (d) 9:33
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  22. 22.A clock shows 11:41. What time will it show 27 minutes later? (a) 12:18 (b) 12:08 (c) 11:58 (d) 1:08
  23. 23.How many degrees does the minute hand of a clock turn in 15 minutes? =
  24. 24.A clock shows 10:05. What time will it show 158 minutes later? (a) 12:33 (b) 12:53 (c) 12:43 (d) 1:43
  25. 25.A clock shows 7:17. What time will it show 17 minutes later? (a) 7:34 (b) 7:24 (c) 8:34 (d) 7:44
  26. 26.How many degrees does the hour hand of a clock turn in 39 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 143 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 97 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 30 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 59 minutes? =
  33. 33.A clock shows 3:30. What time will it show 53 minutes later? (a) 4:13 (b) 5:23 (c) 4:23 (d) 4:33
  34. 34.A clock shows 3:17. What time will it show 136 minutes later? (a) 5:43 (b) 5:33 (c) 5:23 (d) 6:33
  35. 35.A clock shows 3:01. What time will it show 29 minutes later? (a) 3:20 (b) 3:40 (c) 4:30 (d) 3:30
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 31 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 52 minutes? =

Answer key

  1. 36.5
  2. 12
  3. 57
  4. 35
  5. 145.5
  6. 56
  7. 113.5
  8. 132
  9. 37.5
  10. 25
  11. 153.5
  12. 171
  13. 8:29
  14. 9:52
  15. 16
  16. 13
  17. 1:40
  18. 150.5
  19. 7:37
  20. 8:33
  21. 157.5
  22. 12:08
  23. 90
  24. 12:43
  25. 7:34
  26. 19.5
  27. 136.5
  28. 71.5
  29. 48.5
  30. 140
  31. 180
  32. 354
  33. 4:23
  34. 5:33
  35. 3:30
  36. 102
  37. 186
  38. 83
  39. 119.5
  40. 312

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