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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 530 · 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 1:51? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 53 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 128 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 42 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 5 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 28 minutes? =
  8. 8.A clock shows 12:19. What time will it show 116 minutes later? (a) 2:25 (b) 3:15 (c) 2:15 (d) 2:05
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 38 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 31 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 45 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
  16. 16.A clock shows 3:27. What time will it show 126 minutes later? (a) 5:33 (b) 5:23 (c) 5:43 (d) 6:33
  17. 17.How many degrees does the minute hand of a clock turn in 24 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 3 minutes? =
  19. 19.A clock shows 12:31. What time will it show 132 minutes later? (a) 2:43 (b) 2:33 (c) 3:43 (d) 2:53
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 10 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 56 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  29. 29.A clock shows 6:59. What time will it show 154 minutes later? (a) 10:33 (b) 9:33 (c) 9:23 (d) 9:43
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  32. 32.A clock shows 8:58. What time will it show 85 minutes later? (a) 10:33 (b) 10:23 (c) 10:13 (d) 11:23
  33. 33.A clock shows 3:10. What time will it show 88 minutes later? (a) 4:48 (b) 4:38 (c) 5:38 (d) 4:28
  34. 34.How many degrees does the minute hand of a clock turn in 7 minutes? =
  35. 35.A clock shows 4:28. What time will it show 97 minutes later? (a) 5:55 (b) 7:05 (c) 6:15 (d) 6:05
  36. 36.How many degrees does the minute hand of a clock turn in 11 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 6 minutes? =
  38. 38.A clock shows 9:18. What time will it show 131 minutes later? (a) 11:19 (b) 11:39 (c) 11:29 (d) 12:29
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  40. 40.A clock shows 5:21. What time will it show 34 minutes later? (a) 5:45 (b) 6:05 (c) 6:55 (d) 5:55

Answer key

  1. 109.5
  2. 103.5
  3. 318
  4. 64
  5. 252
  6. 30
  7. 168
  8. 2:15
  9. 84.5
  10. 228
  11. 50.5
  12. 11
  13. 186
  14. 270
  15. 159
  16. 5:33
  17. 144
  18. 18
  19. 2:43
  20. 18.5
  21. 60
  22. 336
  23. 66.5
  24. 60.5
  25. 70
  26. 140
  27. 68
  28. 54.5
  29. 9:33
  30. 74.5
  31. 89
  32. 10:23
  33. 4:38
  34. 42
  35. 6:05
  36. 66
  37. 36
  38. 11:29
  39. 28.5
  40. 5:55

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