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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 136 · 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 109 minutes? =
  2. 2.A clock shows 1:07. What time will it show 169 minutes later? (a) 4:56 (b) 3:46 (c) 4:06 (d) 3:56
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  11. 11.A clock shows 4:22. What time will it show 52 minutes later? (a) 5:04 (b) 6:14 (c) 5:24 (d) 5:14
  12. 12.How many degrees does the hour hand of a clock turn in 111 minutes? =
  13. 13.A clock shows 10:08. What time will it show 74 minutes later? (a) 11:32 (b) 11:22 (c) 11:12 (d) 12:22
  14. 14.A clock shows 8:11. What time will it show 144 minutes later? (a) 10:35 (b) 10:45 (c) 10:25 (d) 11:35
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  19. 19.A clock shows 6:23. What time will it show 122 minutes later? (a) 8:15 (b) 8:35 (c) 8:25 (d) 9:25
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  21. 21.A clock shows 8:15. What time will it show 52 minutes later? (a) 9:07 (b) 8:57 (c) 10:07 (d) 9:17
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  23. 23.A clock shows 8:39. What time will it show 53 minutes later? (a) 9:22 (b) 10:32 (c) 9:42 (d) 9:32
  24. 24.How many degrees does the minute hand of a clock turn in 47 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 49 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  27. 27.A clock shows 7:25. What time will it show 150 minutes later? (a) 10:05 (b) 10:55 (c) 9:55 (d) 9:45
  28. 28.A clock shows 10:12. What time will it show 121 minutes later? (a) 12:03 (b) 12:23 (c) 1:13 (d) 12:13
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  30. 30.A clock shows 7:07. What time will it show 143 minutes later? (a) 10:30 (b) 9:30 (c) 9:40 (d) 9:20
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 52 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 33 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  38. 38.A clock shows 11:15. What time will it show 135 minutes later? (a) 1:20 (b) 1:40 (c) 2:30 (d) 1:30
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 155 minutes? =

Answer key

  1. 54.5
  2. 3:56
  3. 68
  4. 144
  5. 168.5
  6. 20.5
  7. 149.5
  8. 127
  9. 38
  10. 32
  11. 5:14
  12. 55.5
  13. 11:22
  14. 10:35
  15. 97
  16. 90
  17. 127
  18. 99
  19. 8:25
  20. 79.5
  21. 9:07
  22. 47.5
  23. 9:32
  24. 282
  25. 294
  26. 74
  27. 9:55
  28. 12:13
  29. 3.5
  30. 9:30
  31. 26
  32. 54.5
  33. 312
  34. 198
  35. 169.5
  36. 77
  37. 38.5
  38. 1:30
  39. 138.5
  40. 77.5

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