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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 607 · 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 minute hand of a clock turn in 47 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 31 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 31 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 42 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 129 minutes? =
  6. 6.A clock shows 4:15. What time will it show 123 minutes later? (a) 7:18 (b) 6:28 (c) 6:18 (d) 6:08
  7. 7.A clock shows 2:35. What time will it show 73 minutes later? (a) 4:48 (b) 3:48 (c) 3:38 (d) 3:58
  8. 8.How many degrees does the minute hand of a clock turn in 29 minutes? =
  9. 9.A clock shows 7:48. What time will it show 75 minutes later? (a) 9:13 (b) 10:03 (c) 9:03 (d) 8:53
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  11. 11.A clock shows 8:24. What time will it show 97 minutes later? (a) 11:01 (b) 10:01 (c) 9:51 (d) 10:11
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  13. 13.A clock shows 3:19. What time will it show 116 minutes later? (a) 5:05 (b) 5:15 (c) 5:25 (d) 6:15
  14. 14.A clock shows 3:41. What time will it show 19 minutes later? (a) 5:00 (b) 3:50 (c) 4:10 (d) 4:00
  15. 15.How many degrees does the minute hand of a clock turn in 26 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 171 minutes? =
  20. 20.A clock shows 7:26. What time will it show 36 minutes later? (a) 8:12 (b) 7:52 (c) 9:02 (d) 8:02
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 12 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 34 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 100 minutes? =
  27. 27.A clock shows 5:17. What time will it show 147 minutes later? (a) 7:54 (b) 8:44 (c) 7:44 (d) 7:34
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 127 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 86 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 37 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 45 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 21 minutes? =
  37. 37.A clock shows 10:22. What time will it show 109 minutes later? (a) 12:11 (b) 12:21 (c) 12:01 (d) 1:11
  38. 38.How many degrees does the hour hand of a clock turn in 91 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  40. 40.A clock shows 12:56. What time will it show 75 minutes later? (a) 2:11 (b) 3:11 (c) 2:01 (d) 2:21

Answer key

  1. 282
  2. 15.5
  3. 186
  4. 252
  5. 64.5
  6. 6:18
  7. 3:48
  8. 174
  9. 9:03
  10. 152.5
  11. 10:01
  12. 149.5
  13. 5:15
  14. 4:00
  15. 156
  16. 42
  17. 31
  18. 99.5
  19. 85.5
  20. 8:02
  21. 79.5
  22. 6
  23. 17
  24. 8.5
  25. 112
  26. 50
  27. 7:44
  28. 4
  29. 63.5
  30. 150.5
  31. 43
  32. 222
  33. 73
  34. 138.5
  35. 270
  36. 126
  37. 12:11
  38. 45.5
  39. 10
  40. 2:11

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