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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 707 · 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 41 minutes? =
  2. 2.A clock shows 5:29. What time will it show 143 minutes later? (a) 8:02 (b) 8:52 (c) 7:42 (d) 7:52
  3. 3.How many degrees does the minute hand of a clock turn in 17 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  5. 5.A clock shows 3:32. What time will it show 74 minutes later? (a) 5:46 (b) 4:36 (c) 4:56 (d) 4:46
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 28 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  9. 9.A clock shows 7:17. What time will it show 91 minutes later? (a) 9:48 (b) 8:48 (c) 8:58 (d) 8:38
  10. 10.How many degrees does the minute hand of a clock turn in 16 minutes? =
  11. 11.A clock shows 8:20. What time will it show 62 minutes later? (a) 10:22 (b) 9:22 (c) 9:32 (d) 9:12
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  17. 17.A clock shows 3:16. What time will it show 82 minutes later? (a) 4:38 (b) 4:48 (c) 5:38 (d) 4:28
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 31 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  21. 21.A clock shows 5:19. What time will it show 56 minutes later? (a) 6:05 (b) 7:15 (c) 6:15 (d) 6:25
  22. 22.How many degrees does the hour hand of a clock turn in 179 minutes? =
  23. 23.A clock shows 8:50. What time will it show 75 minutes later? (a) 9:55 (b) 11:05 (c) 10:05 (d) 10:15
  24. 24.How many degrees does the hour hand of a clock turn in 86 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  26. 26.A clock shows 7:20. What time will it show 94 minutes later? (a) 8:44 (b) 8:54 (c) 9:54 (d) 9:04
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 148 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 142 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 75 minutes? =
  37. 37.A clock shows 8:16. What time will it show 112 minutes later? (a) 9:58 (b) 11:08 (c) 10:18 (d) 10:08
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 117 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =

Answer key

  1. 20.5
  2. 7:52
  3. 102
  4. 160
  5. 4:46
  6. 131.5
  7. 14
  8. 75
  9. 8:48
  10. 96
  11. 9:22
  12. 102
  13. 170.5
  14. 114.5
  15. 2.5
  16. 116
  17. 4:38
  18. 4
  19. 15.5
  20. 34
  21. 6:15
  22. 89.5
  23. 10:05
  24. 43
  25. 172
  26. 8:54
  27. 32
  28. 10
  29. 74
  30. 132.5
  31. 5
  32. 54
  33. 66.5
  34. 165
  35. 71
  36. 37.5
  37. 10:08
  38. 11.5
  39. 58.5
  40. 30

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