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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 806 · 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 4:26? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 18 minutes? =
  3. 3.A clock shows 11:18. What time will it show 121 minutes later? (a) 2:19 (b) 1:19 (c) 1:09 (d) 1:29
  4. 4.How many degrees does the minute hand of a clock turn in 13 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 77 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  7. 7.A clock shows 8:06. What time will it show 21 minutes later? (a) 8:27 (b) 8:37 (c) 8:17 (d) 9:27
  8. 8.How many degrees does the hour hand of a clock turn in 10 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 43 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 52 minutes? =
  13. 13.A clock shows 11:17. What time will it show 53 minutes later? (a) 1:10 (b) 12:20 (c) 12:10 (d) 12:00
  14. 14.How many degrees does the minute hand of a clock turn in 2 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 34 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 31 minutes? =
  17. 17.A clock shows 5:28. What time will it show 122 minutes later? (a) 7:30 (b) 8:30 (c) 7:40 (d) 7:20
  18. 18.How many degrees does the minute hand of a clock turn in 44 minutes? =
  19. 19.A clock shows 9:37. What time will it show 81 minutes later? (a) 10:48 (b) 10:58 (c) 11:58 (d) 11:08
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 163 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  23. 23.A clock shows 9:58. What time will it show 17 minutes later? (a) 10:25 (b) 10:15 (c) 11:15 (d) 10:05
  24. 24.How many degrees does the minute hand of a clock turn in 10 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  26. 26.A clock shows 12:04. What time will it show 17 minutes later? (a) 1:21 (b) 12:21 (c) 12:31 (d) 12:11
  27. 27.A clock shows 6:24. What time will it show 116 minutes later? (a) 8:20 (b) 8:30 (c) 9:20 (d) 8:10
  28. 28.How many degrees does the hour hand of a clock turn in 139 minutes? =
  29. 29.A clock shows 5:03. What time will it show 143 minutes later? (a) 7:16 (b) 7:36 (c) 7:26 (d) 8:26
  30. 30.How many degrees does the hour hand of a clock turn in 59 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 20 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 21 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 55 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 16 minutes? =
  40. 40.A clock shows 12:10. What time will it show 113 minutes later? (a) 1:53 (b) 2:13 (c) 2:03 (d) 3:03

Answer key

  1. 23
  2. 108
  3. 1:19
  4. 78
  5. 38.5
  6. 175
  7. 8:27
  8. 5
  9. 142.5
  10. 21.5
  11. 125.5
  12. 312
  13. 12:10
  14. 12
  15. 17
  16. 15.5
  17. 7:30
  18. 264
  19. 10:58
  20. 14
  21. 81.5
  22. 145
  23. 10:15
  24. 60
  25. 157
  26. 12:21
  27. 8:20
  28. 69.5
  29. 7:26
  30. 29.5
  31. 74.5
  32. 25.5
  33. 120
  34. 31
  35. 126
  36. 6
  37. 330
  38. 22
  39. 8
  40. 2:03

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