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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 675 · 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 74 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 159 minutes? =
  7. 7.A clock shows 11:47. What time will it show 94 minutes later? (a) 1:11 (b) 1:31 (c) 2:21 (d) 1:21
  8. 8.How many degrees does the hour hand of a clock turn in 19 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 104 minutes? =
  11. 11.A clock shows 3:40. What time will it show 49 minutes later? (a) 4:19 (b) 4:39 (c) 4:29 (d) 5:29
  12. 12.How many degrees does the hour hand of a clock turn in 55 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 140 minutes? =
  14. 14.A clock shows 4:00. What time will it show 35 minutes later? (a) 4:45 (b) 4:35 (c) 5:35 (d) 4:25
  15. 15.How many degrees does the hour hand of a clock turn in 18 minutes? =
  16. 16.A clock shows 6:02. What time will it show 74 minutes later? (a) 7:06 (b) 8:16 (c) 7:16 (d) 7:26
  17. 17.A clock shows 7:07. What time will it show 103 minutes later? (a) 8:50 (b) 9:00 (c) 9:50 (d) 8:40
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 5 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 38 minutes? =
  21. 21.A clock shows 3:33. What time will it show 20 minutes later? (a) 3:43 (b) 3:53 (c) 4:03 (d) 4:53
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  23. 23.A clock shows 12:31. What time will it show 10 minutes later? (a) 12:41 (b) 12:31 (c) 1:41 (d) 12:51
  24. 24.A clock shows 8:43. What time will it show 61 minutes later? (a) 10:44 (b) 9:54 (c) 9:34 (d) 9:44
  25. 25.How many degrees does the minute hand of a clock turn in 48 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 25 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  32. 32.A clock shows 1:19. What time will it show 96 minutes later? (a) 2:55 (b) 3:55 (c) 2:45 (d) 3:05
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 56 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 32 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 180 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  39. 39.A clock shows 8:43. What time will it show 72 minutes later? (a) 10:05 (b) 9:55 (c) 10:55 (d) 9:45
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =

Answer key

  1. 37
  2. 44
  3. 83
  4. 93
  5. 147
  6. 79.5
  7. 1:21
  8. 9.5
  9. 83.5
  10. 52
  11. 4:29
  12. 27.5
  13. 70
  14. 4:35
  15. 9
  16. 7:16
  17. 8:50
  18. 138.5
  19. 30
  20. 228
  21. 3:53
  22. 80
  23. 12:41
  24. 9:44
  25. 288
  26. 122
  27. 158.5
  28. 136.5
  29. 12.5
  30. 6
  31. 72
  32. 2:55
  33. 21
  34. 336
  35. 16
  36. 90
  37. 142
  38. 81.5
  39. 9:55
  40. 18.5

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