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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 489 · 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 12:56? (in degrees) =
  2. 2.A clock shows 3:38. What time will it show 91 minutes later? (a) 5:09 (b) 5:19 (c) 6:09 (d) 4:59
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  5. 5.A clock shows 2:30. What time will it show 104 minutes later? (a) 4:14 (b) 4:24 (c) 5:14 (d) 4:04
  6. 6.How many degrees does the hour hand of a clock turn in 139 minutes? =
  7. 7.A clock shows 4:05. What time will it show 87 minutes later? (a) 5:42 (b) 6:32 (c) 5:22 (d) 5:32
  8. 8.How many degrees does the hour hand of a clock turn in 86 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:48? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 126 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 2 minutes? =
  12. 12.A clock shows 5:48. What time will it show 30 minutes later? (a) 6:28 (b) 6:08 (c) 7:18 (d) 6:18
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  14. 14.A clock shows 9:15. What time will it show 34 minutes later? (a) 9:59 (b) 9:49 (c) 10:49 (d) 9:39
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 68 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 46 minutes? =
  18. 18.A clock shows 1:30. What time will it show 65 minutes later? (a) 2:25 (b) 2:35 (c) 3:35 (d) 2:45
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  20. 20.A clock shows 8:25. What time will it show 12 minutes later? (a) 8:47 (b) 8:27 (c) 8:37 (d) 9:37
  21. 21.How many degrees does the minute hand of a clock turn in 4 minutes? =
  22. 22.A clock shows 7:20. What time will it show 77 minutes later? (a) 8:47 (b) 9:37 (c) 8:27 (d) 8:37
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 65 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  26. 26.A clock shows 2:53. What time will it show 87 minutes later? (a) 5:20 (b) 4:10 (c) 4:30 (d) 4:20
  27. 27.How many degrees does the minute hand of a clock turn in 20 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 37 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  32. 32.A clock shows 8:46. What time will it show 104 minutes later? (a) 10:40 (b) 10:20 (c) 11:30 (d) 10:30
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 51 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 15 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 11 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 16 minutes? =
  38. 38.A clock shows 1:45. What time will it show 123 minutes later? (a) 3:38 (b) 3:58 (c) 3:48 (d) 4:48
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =

Answer key

  1. 52
  2. 5:09
  3. 68
  4. 14
  5. 4:14
  6. 69.5
  7. 5:32
  8. 43
  9. 96
  10. 63
  11. 12
  12. 6:18
  13. 14.5
  14. 9:49
  15. 10
  16. 34
  17. 276
  18. 2:35
  19. 105
  20. 8:37
  21. 24
  22. 8:37
  23. 172
  24. 32.5
  25. 44
  26. 4:20
  27. 120
  28. 96.5
  29. 222
  30. 164
  31. 63.5
  32. 10:30
  33. 113.5
  34. 306
  35. 7.5
  36. 5.5
  37. 8
  38. 3:48
  39. 130
  40. 129

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