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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 681 · 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 11:42? (in degrees) =
  2. 2.A clock shows 9:03. What time will it show 157 minutes later? (a) 11:50 (b) 12:40 (c) 11:30 (d) 11:40
  3. 3.A clock shows 9:36. What time will it show 144 minutes later? (a) 11:50 (b) 12:10 (c) 1:00 (d) 12:00
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 12 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 121 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 111 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 45 minutes? =
  12. 12.A clock shows 12:24. What time will it show 12 minutes later? (a) 12:36 (b) 1:36 (c) 12:46 (d) 12:26
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  14. 14.A clock shows 3:20. What time will it show 60 minutes later? (a) 4:20 (b) 4:30 (c) 4:10 (d) 5:20
  15. 15.A clock shows 11:49. What time will it show 100 minutes later? (a) 2:29 (b) 1:19 (c) 1:29 (d) 1:39
  16. 16.How many degrees does the minute hand of a clock turn in 22 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 7 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 21 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  20. 20.A clock shows 7:50. What time will it show 23 minutes later? (a) 8:03 (b) 8:23 (c) 9:13 (d) 8:13
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 23 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 48 minutes? =
  25. 25.A clock shows 11:02. What time will it show 37 minutes later? (a) 11:49 (b) 11:29 (c) 12:39 (d) 11:39
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 124 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  30. 30.A clock shows 9:14. What time will it show 11 minutes later? (a) 10:25 (b) 9:15 (c) 9:25 (d) 9:35
  31. 31.A clock shows 10:59. What time will it show 152 minutes later? (a) 1:41 (b) 1:31 (c) 2:31 (d) 1:21
  32. 32.How many degrees does the minute hand of a clock turn in 15 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  37. 37.A clock shows 4:00. What time will it show 90 minutes later? (a) 5:40 (b) 5:20 (c) 6:30 (d) 5:30
  38. 38.How many degrees does the hour hand of a clock turn in 122 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 55 minutes? =

Answer key

  1. 99
  2. 11:40
  3. 12:00
  4. 153
  5. 101
  6. 72
  7. 60.5
  8. 55.5
  9. 111.5
  10. 65.5
  11. 22.5
  12. 12:36
  13. 46.5
  14. 4:20
  15. 1:29
  16. 132
  17. 42
  18. 10.5
  19. 50
  20. 8:13
  21. 135.5
  22. 138
  23. 7
  24. 24
  25. 11:39
  26. 41.5
  27. 62
  28. 102
  29. 60.5
  30. 9:25
  31. 1:31
  32. 90
  33. 119
  34. 123.5
  35. 22
  36. 131
  37. 5:30
  38. 61
  39. 150.5
  40. 330

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