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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 595 · 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 minute hand of a clock turn in 15 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 148 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 50 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 22 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 56 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  10. 10.A clock shows 12:12. What time will it show 71 minutes later? (a) 1:13 (b) 2:23 (c) 1:23 (d) 1:33
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 49 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  14. 14.A clock shows 3:30. What time will it show 91 minutes later? (a) 4:51 (b) 6:01 (c) 5:11 (d) 5:01
  15. 15.How many degrees does the hour hand of a clock turn in 61 minutes? =
  16. 16.A clock shows 7:02. What time will it show 51 minutes later? (a) 8:53 (b) 7:43 (c) 7:53 (d) 8:03
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  18. 18.A clock shows 6:45. What time will it show 49 minutes later? (a) 7:44 (b) 8:34 (c) 7:34 (d) 7:24
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 180 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 37 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  23. 23.A clock shows 6:49. What time will it show 31 minutes later? (a) 7:30 (b) 8:20 (c) 7:20 (d) 7:10
  24. 24.How many degrees does the minute hand of a clock turn in 33 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 46 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 7 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  30. 30.A clock shows 11:13. What time will it show 45 minutes later? (a) 12:58 (b) 11:48 (c) 12:08 (d) 11:58
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  32. 32.A clock shows 3:31. What time will it show 58 minutes later? (a) 4:19 (b) 4:29 (c) 4:39 (d) 5:29
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  34. 34.A clock shows 2:44. What time will it show 74 minutes later? (a) 3:48 (b) 3:58 (c) 4:08 (d) 4:58
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 24 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =

Answer key

  1. 90
  2. 74
  3. 300
  4. 132
  5. 30.5
  6. 336
  7. 50
  8. 23.5
  9. 116.5
  10. 1:23
  11. 52
  12. 294
  13. 43
  14. 5:01
  15. 30.5
  16. 7:53
  17. 58.5
  18. 7:34
  19. 47.5
  20. 90
  21. 222
  22. 169
  23. 7:20
  24. 198
  25. 276
  26. 17.5
  27. 8
  28. 42
  29. 112.5
  30. 11:58
  31. 5
  32. 4:29
  33. 0.5
  34. 3:58
  35. 134.5
  36. 159
  37. 91.5
  38. 144
  39. 30
  40. 46

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