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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 91 · 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 86 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 44 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  6. 6.A clock shows 6:48. What time will it show 37 minutes later? (a) 7:15 (b) 7:35 (c) 8:25 (d) 7:25
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  8. 8.A clock shows 2:17. What time will it show 107 minutes later? (a) 3:54 (b) 4:14 (c) 4:04 (d) 5:04
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  11. 11.A clock shows 9:35. What time will it show 144 minutes later? (a) 12:59 (b) 11:49 (c) 11:59 (d) 12:09
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 30 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
  16. 16.A clock shows 10:56. What time will it show 88 minutes later? (a) 1:24 (b) 12:24 (c) 12:14 (d) 12:34
  17. 17.A clock shows 7:37. What time will it show 140 minutes later? (a) 9:57 (b) 10:07 (c) 9:47 (d) 10:57
  18. 18.How many degrees does the minute hand of a clock turn in 28 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 116 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 165 minutes? =
  22. 22.A clock shows 4:06. What time will it show 66 minutes later? (a) 6:12 (b) 5:22 (c) 5:12 (d) 5:02
  23. 23.How many degrees does the hour hand of a clock turn in 83 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 21 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 6 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  29. 29.A clock shows 7:56. What time will it show 68 minutes later? (a) 9:14 (b) 8:54 (c) 10:04 (d) 9:04
  30. 30.How many degrees does the minute hand of a clock turn in 18 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  32. 32.A clock shows 5:57. What time will it show 40 minutes later? (a) 6:27 (b) 7:37 (c) 6:37 (d) 6:47
  33. 33.A clock shows 3:41. What time will it show 147 minutes later? (a) 6:18 (b) 5:58 (c) 7:08 (d) 6:08
  34. 34.How many degrees does the hour hand of a clock turn in 79 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 137 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 5 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =

Answer key

  1. 43
  2. 71
  3. 102
  4. 22
  5. 55
  6. 7:25
  7. 174
  8. 4:04
  9. 53.5
  10. 102
  11. 11:59
  12. 172
  13. 106
  14. 180
  15. 42
  16. 12:24
  17. 9:57
  18. 168
  19. 58
  20. 157
  21. 82.5
  22. 5:12
  23. 41.5
  24. 126
  25. 105.5
  26. 36
  27. 31.5
  28. 122.5
  29. 9:04
  30. 108
  31. 80.5
  32. 6:37
  33. 6:08
  34. 39.5
  35. 98
  36. 0
  37. 68.5
  38. 39.5
  39. 30
  40. 6.5

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