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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 514 · 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 8:00? (in degrees) =
  2. 2.A clock shows 3:12. What time will it show 50 minutes later? (a) 3:52 (b) 4:02 (c) 4:12 (d) 5:02
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 93 minutes? =
  6. 6.A clock shows 7:06. What time will it show 54 minutes later? (a) 8:00 (b) 7:50 (c) 8:10 (d) 9:00
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  8. 8.A clock shows 2:58. What time will it show 148 minutes later? (a) 6:26 (b) 5:16 (c) 5:36 (d) 5:26
  9. 9.How many degrees does the minute hand of a clock turn in 21 minutes? =
  10. 10.A clock shows 3:54. What time will it show 71 minutes later? (a) 5:15 (b) 6:05 (c) 4:55 (d) 5:05
  11. 11.How many degrees does the hour hand of a clock turn in 12 minutes? =
  12. 12.A clock shows 6:59. What time will it show 136 minutes later? (a) 10:15 (b) 9:25 (c) 9:15 (d) 9:05
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  15. 15.A clock shows 11:22. What time will it show 70 minutes later? (a) 12:22 (b) 12:32 (c) 12:42 (d) 1:32
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  19. 19.A clock shows 9:27. What time will it show 42 minutes later? (a) 10:19 (b) 9:59 (c) 10:09 (d) 11:09
  20. 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 104 minutes? =
  23. 23.A clock shows 3:15. What time will it show 89 minutes later? (a) 5:44 (b) 4:34 (c) 4:54 (d) 4:44
  24. 24.How many degrees does the minute hand of a clock turn in 18 minutes? =
  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 23 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 29 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 160 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  30. 30.A clock shows 12:43. What time will it show 30 minutes later? (a) 2:13 (b) 1:03 (c) 1:13 (d) 1:23
  31. 31.How many degrees does the hour hand of a clock turn in 165 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 12 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 161 minutes? =
  34. 34.A clock shows 1:59. What time will it show 26 minutes later? (a) 3:25 (b) 2:35 (c) 2:25 (d) 2:15
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  37. 37.A clock shows 4:56. What time will it show 126 minutes later? (a) 6:52 (b) 8:02 (c) 7:12 (d) 7:02
  38. 38.A clock shows 2:05. What time will it show 150 minutes later? (a) 4:35 (b) 4:25 (c) 5:35 (d) 4:45
  39. 39.How many degrees does the hour hand of a clock turn in 157 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 158 minutes? =

Answer key

  1. 120
  2. 4:02
  3. 83
  4. 141
  5. 46.5
  6. 8:00
  7. 173.5
  8. 5:26
  9. 126
  10. 5:05
  11. 6
  12. 9:15
  13. 162
  14. 168.5
  15. 12:32
  16. 174
  17. 33.5
  18. 147.5
  19. 10:09
  20. 42
  21. 31
  22. 52
  23. 4:44
  24. 108
  25. 43
  26. 11.5
  27. 174
  28. 80
  29. 100.5
  30. 1:13
  31. 82.5
  32. 72
  33. 80.5
  34. 2:25
  35. 41.5
  36. 69.5
  37. 7:02
  38. 4:35
  39. 78.5
  40. 79

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