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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 869 · 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 81 minutes? =
  2. 2.A clock shows 3:51. What time will it show 169 minutes later? (a) 6:30 (b) 6:50 (c) 6:40 (d) 7:40
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  6. 6.A clock shows 10:55. What time will it show 85 minutes later? (a) 12:20 (b) 12:10 (c) 12:30 (d) 1:20
  7. 7.A clock shows 7:08. What time will it show 45 minutes later? (a) 7:53 (b) 8:03 (c) 8:53 (d) 7:43
  8. 8.How many degrees does the minute hand of a clock turn in 31 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  10. 10.A clock shows 3:16. What time will it show 76 minutes later? (a) 4:32 (b) 4:22 (c) 5:32 (d) 4:42
  11. 11.A clock shows 3:12. What time will it show 120 minutes later? (a) 6:12 (b) 5:02 (c) 5:12 (d) 5:22
  12. 12.A clock shows 9:25. What time will it show 42 minutes later? (a) 10:17 (b) 9:57 (c) 10:07 (d) 11:07
  13. 13.A clock shows 1:08. What time will it show 146 minutes later? (a) 3:24 (b) 4:34 (c) 3:44 (d) 3:34
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  15. 15.A clock shows 10:12. What time will it show 72 minutes later? (a) 11:14 (b) 12:24 (c) 11:24 (d) 11:34
  16. 16.How many degrees does the minute hand of a clock turn in 40 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 104 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 55 minutes? =
  22. 22.A clock shows 4:43. What time will it show 49 minutes later? (a) 5:42 (b) 6:32 (c) 5:32 (d) 5:22
  23. 23.A clock shows 6:17. What time will it show 121 minutes later? (a) 9:18 (b) 8:08 (c) 8:28 (d) 8:18
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 117 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 16 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 47 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 45 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 20 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 177 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  38. 38.A clock shows 8:25. What time will it show 56 minutes later? (a) 10:21 (b) 9:11 (c) 9:31 (d) 9:21
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 19 minutes? =

Answer key

  1. 40.5
  2. 6:40
  3. 68.5
  4. 142
  5. 155
  6. 12:20
  7. 7:53
  8. 186
  9. 43
  10. 4:32
  11. 5:12
  12. 10:07
  13. 3:34
  14. 167
  15. 11:24
  16. 240
  17. 28.5
  18. 60
  19. 141.5
  20. 52
  21. 330
  22. 5:32
  23. 8:18
  24. 39.5
  25. 66
  26. 58.5
  27. 96
  28. 282
  29. 270
  30. 49.5
  31. 10
  32. 88.5
  33. 117
  34. 142
  35. 3.5
  36. 139.5
  37. 127.5
  38. 9:21
  39. 101.5
  40. 114

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