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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 463 · 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 hour hand of a clock turn in 156 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 101 minutes? =
  3. 3.A clock shows 8:00. What time will it show 142 minutes later? (a) 10:12 (b) 11:22 (c) 10:22 (d) 10:32
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  9. 9.A clock shows 12:13. What time will it show 106 minutes later? (a) 2:59 (b) 1:49 (c) 2:09 (d) 1:59
  10. 10.How many degrees does the hour hand of a clock turn in 124 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 30 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 146 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 138 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  18. 18.A clock shows 9:46. What time will it show 149 minutes later? (a) 12:25 (b) 12:05 (c) 1:15 (d) 12:15
  19. 19.How many degrees does the hour hand of a clock turn in 53 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 41 minutes? =
  22. 22.A clock shows 5:33. What time will it show 47 minutes later? (a) 6:30 (b) 7:20 (c) 6:20 (d) 6:10
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  24. 24.A clock shows 7:30. What time will it show 117 minutes later? (a) 9:27 (b) 9:37 (c) 10:27 (d) 9:17
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 116 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 25 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
  30. 30.A clock shows 5:17. What time will it show 107 minutes later? (a) 6:54 (b) 7:14 (c) 8:04 (d) 7:04
  31. 31.A clock shows 10:59. What time will it show 125 minutes later? (a) 12:54 (b) 2:04 (c) 1:14 (d) 1:04
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 19 minutes? =
  34. 34.A clock shows 3:23. What time will it show 28 minutes later? (a) 3:41 (b) 4:51 (c) 3:51 (d) 4:01
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  37. 37.A clock shows 8:45. What time will it show 99 minutes later? (a) 10:24 (b) 10:34 (c) 11:24 (d) 10:14
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 71 minutes? =

Answer key

  1. 78
  2. 50.5
  3. 10:22
  4. 70
  5. 34
  6. 30.5
  7. 83
  8. 118.5
  9. 1:59
  10. 62
  11. 102
  12. 15
  13. 73
  14. 69
  15. 98
  16. 170.5
  17. 110.5
  18. 12:15
  19. 26.5
  20. 143.5
  21. 246
  22. 6:20
  23. 73
  24. 9:27
  25. 43
  26. 58
  27. 175
  28. 150
  29. 7.5
  30. 7:04
  31. 1:04
  32. 115.5
  33. 114
  34. 3:51
  35. 131
  36. 81
  37. 10:24
  38. 174.5
  39. 82
  40. 35.5

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