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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 17 · 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 10:07? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  3. 3.A clock shows 12:09. What time will it show 45 minutes later? (a) 1:54 (b) 1:04 (c) 12:44 (d) 12:54
  4. 4.How many degrees does the minute hand of a clock turn in 56 minutes? =
  5. 5.A clock shows 12:23. What time will it show 144 minutes later? (a) 3:47 (b) 2:57 (c) 2:47 (d) 2:37
  6. 6.How many degrees does the minute hand of a clock turn in 38 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  8. 8.A clock shows 2:45. What time will it show 112 minutes later? (a) 4:27 (b) 5:37 (c) 4:47 (d) 4:37
  9. 9.A clock shows 4:52. What time will it show 147 minutes later? (a) 7:29 (b) 8:19 (c) 7:09 (d) 7:19
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 44 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  15. 15.A clock shows 9:52. What time will it show 72 minutes later? (a) 10:54 (b) 12:04 (c) 11:14 (d) 11:04
  16. 16.A clock shows 1:16. What time will it show 18 minutes later? (a) 1:44 (b) 2:34 (c) 1:24 (d) 1:34
  17. 17.How many degrees does the hour hand of a clock turn in 36 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 5 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  21. 21.A clock shows 11:38. What time will it show 99 minutes later? (a) 2:17 (b) 1:27 (c) 1:17 (d) 1:07
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  23. 23.A clock shows 9:04. What time will it show 66 minutes later? (a) 10:00 (b) 10:10 (c) 10:20 (d) 11:10
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 174 minutes? =
  26. 26.A clock shows 6:20. What time will it show 78 minutes later? (a) 8:38 (b) 7:28 (c) 7:38 (d) 7:48
  27. 27.A clock shows 4:34. What time will it show 155 minutes later? (a) 6:59 (b) 7:19 (c) 8:09 (d) 7:09
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 23 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 79 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 85 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 57 minutes? =
  38. 38.A clock shows 11:30. What time will it show 35 minutes later? (a) 1:05 (b) 12:15 (c) 11:55 (d) 12:05
  39. 39.A clock shows 8:23. What time will it show 55 minutes later? (a) 9:08 (b) 10:18 (c) 9:18 (d) 9:28
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =

Answer key

  1. 98.5
  2. 120
  3. 12:54
  4. 336
  5. 2:47
  6. 228
  7. 99.5
  8. 4:37
  9. 7:19
  10. 137
  11. 71
  12. 264
  13. 36
  14. 47
  15. 11:04
  16. 1:34
  17. 18
  18. 26
  19. 30
  20. 124.5
  21. 1:17
  22. 150
  23. 10:10
  24. 73.5
  25. 87
  26. 7:38
  27. 7:09
  28. 18.5
  29. 179
  30. 138
  31. 141.5
  32. 62
  33. 65
  34. 39.5
  35. 42.5
  36. 135.5
  37. 28.5
  38. 12:05
  39. 9:18
  40. 126.5

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