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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 592 · 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 2:18? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 40 minutes? =
  3. 3.A clock shows 4:27. What time will it show 153 minutes later? (a) 7:00 (b) 8:00 (c) 7:10 (d) 6:50
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 9 minutes? =
  6. 6.A clock shows 3:52. What time will it show 167 minutes later? (a) 6:49 (b) 6:39 (c) 6:29 (d) 7:39
  7. 7.How many degrees does the minute hand of a clock turn in 41 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 85 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 173 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:48? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  12. 12.A clock shows 2:47. What time will it show 22 minutes later? (a) 4:09 (b) 2:59 (c) 3:19 (d) 3:09
  13. 13.A clock shows 5:59. What time will it show 29 minutes later? (a) 6:18 (b) 6:38 (c) 6:28 (d) 7:28
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 11 minutes? =
  16. 16.A clock shows 11:45. What time will it show 53 minutes later? (a) 12:38 (b) 12:28 (c) 1:38 (d) 12:48
  17. 17.A clock shows 8:33. What time will it show 12 minutes later? (a) 8:55 (b) 8:35 (c) 9:45 (d) 8:45
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 34 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 50 minutes? =
  21. 21.A clock shows 10:24. What time will it show 109 minutes later? (a) 12:03 (b) 12:23 (c) 1:13 (d) 12:13
  22. 22.How many degrees does the hour hand of a clock turn in 15 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 10 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 111 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 7 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 176 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 146 minutes? =
  32. 32.A clock shows 4:00. What time will it show 107 minutes later? (a) 5:57 (b) 6:47 (c) 5:37 (d) 5:47
  33. 33.A clock shows 1:59. What time will it show 23 minutes later? (a) 2:32 (b) 2:12 (c) 3:22 (d) 2:22
  34. 34.How many degrees does the minute hand of a clock turn in 12 minutes? =
  35. 35.A clock shows 8:01. What time will it show 135 minutes later? (a) 10:26 (b) 10:16 (c) 11:16 (d) 10:06
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  37. 37.A clock shows 1:09. What time will it show 67 minutes later? (a) 2:06 (b) 2:26 (c) 2:16 (d) 3:16
  38. 38.How many degrees does the hour hand of a clock turn in 78 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 90 minutes? =

Answer key

  1. 39
  2. 240
  3. 7:00
  4. 122
  5. 54
  6. 6:39
  7. 246
  8. 42.5
  9. 86.5
  10. 96
  11. 78.5
  12. 3:09
  13. 6:28
  14. 178
  15. 66
  16. 12:38
  17. 8:45
  18. 142
  19. 204
  20. 300
  21. 12:13
  22. 7.5
  23. 5
  24. 55.5
  25. 58
  26. 61.5
  27. 42
  28. 147.5
  29. 88
  30. 177
  31. 73
  32. 5:47
  33. 2:22
  34. 72
  35. 10:16
  36. 76
  37. 2:16
  38. 39
  39. 110
  40. 45

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