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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 46 · 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 9 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 77 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 15 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 84 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 22 minutes? =
  7. 7.A clock shows 1:00. What time will it show 25 minutes later? (a) 1:35 (b) 1:15 (c) 2:25 (d) 1:25
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  9. 9.A clock shows 12:15. What time will it show 169 minutes later? (a) 3:14 (b) 4:04 (c) 3:04 (d) 2:54
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  14. 14.A clock shows 4:10. What time will it show 13 minutes later? (a) 4:13 (b) 4:23 (c) 4:33 (d) 5:23
  15. 15.How many degrees does the minute hand of a clock turn in 4 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 157 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  18. 18.A clock shows 3:03. What time will it show 49 minutes later? (a) 3:52 (b) 3:42 (c) 4:02 (d) 4:52
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 48 minutes? =
  21. 21.A clock shows 7:48. What time will it show 38 minutes later? (a) 9:26 (b) 8:26 (c) 8:16 (d) 8:36
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 122 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 59 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 22 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  29. 29.A clock shows 3:18. What time will it show 82 minutes later? (a) 4:40 (b) 4:50 (c) 4:30 (d) 5:40
  30. 30.How many degrees does the minute hand of a clock turn in 16 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 2 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 27 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 42 minutes? =
  34. 34.A clock shows 11:35. What time will it show 119 minutes later? (a) 1:34 (b) 1:44 (c) 1:24 (d) 2:34
  35. 35.A clock shows 4:47. What time will it show 47 minutes later? (a) 5:34 (b) 6:34 (c) 5:44 (d) 5:24
  36. 36.How many degrees does the hour hand of a clock turn in 135 minutes? =
  37. 37.A clock shows 8:07. What time will it show 60 minutes later? (a) 9:17 (b) 8:57 (c) 9:07 (d) 10:07
  38. 38.How many degrees does the minute hand of a clock turn in 55 minutes? =
  39. 39.A clock shows 10:09. What time will it show 146 minutes later? (a) 12:35 (b) 12:25 (c) 12:45 (d) 1:35
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =

Answer key

  1. 54
  2. 39.5
  3. 38.5
  4. 90
  5. 42
  6. 11
  7. 1:25
  8. 165.5
  9. 3:04
  10. 38
  11. 131.5
  12. 123
  13. 178
  14. 4:23
  15. 24
  16. 78.5
  17. 95
  18. 3:52
  19. 120.5
  20. 288
  21. 8:26
  22. 174
  23. 69.5
  24. 138
  25. 61
  26. 354
  27. 132
  28. 13.5
  29. 4:40
  30. 96
  31. 12
  32. 162
  33. 252
  34. 1:34
  35. 5:34
  36. 67.5
  37. 9:07
  38. 330
  39. 12:35
  40. 72.5

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