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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 751 · 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 7:35? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 147 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 94 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 47 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 157 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  8. 8.A clock shows 10:44. What time will it show 165 minutes later? (a) 1:39 (b) 1:29 (c) 1:19 (d) 2:29
  9. 9.How many degrees does the hour hand of a clock turn in 85 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  11. 11.A clock shows 4:03. What time will it show 130 minutes later? (a) 6:23 (b) 6:03 (c) 6:13 (d) 7:13
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 49 minutes? =
  14. 14.A clock shows 5:06. What time will it show 12 minutes later? (a) 5:08 (b) 5:28 (c) 6:18 (d) 5:18
  15. 15.How many degrees does the hour hand of a clock turn in 25 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 117 minutes? =
  18. 18.A clock shows 4:21. What time will it show 170 minutes later? (a) 7:21 (b) 7:11 (c) 7:01 (d) 8:11
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  20. 20.A clock shows 1:48. What time will it show 170 minutes later? (a) 5:38 (b) 4:38 (c) 4:28 (d) 4:48
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  22. 22.A clock shows 3:23. What time will it show 107 minutes later? (a) 5:00 (b) 5:20 (c) 5:10 (d) 6:10
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  26. 26.A clock shows 5:39. What time will it show 36 minutes later? (a) 7:15 (b) 6:05 (c) 6:25 (d) 6:15
  27. 27.How many degrees does the hour hand of a clock turn in 13 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 58 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 86 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 9 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  33. 33.A clock shows 3:36. What time will it show 157 minutes later? (a) 7:13 (b) 6:13 (c) 6:03 (d) 6:23
  34. 34.A clock shows 10:57. What time will it show 80 minutes later? (a) 12:07 (b) 1:17 (c) 12:17 (d) 12:27
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 5 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 176 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  40. 40.A clock shows 2:30. What time will it show 169 minutes later? (a) 5:29 (b) 5:19 (c) 5:09 (d) 6:19

Answer key

  1. 17.5
  2. 73.5
  3. 95.5
  4. 47
  5. 23.5
  6. 78.5
  7. 158.5
  8. 1:29
  9. 42.5
  10. 96.5
  11. 6:13
  12. 172.5
  13. 24.5
  14. 5:18
  15. 12.5
  16. 167
  17. 58.5
  18. 7:11
  19. 116
  20. 4:38
  21. 147
  22. 5:10
  23. 72.5
  24. 28
  25. 112.5
  26. 6:15
  27. 6.5
  28. 348
  29. 43
  30. 149.5
  31. 54
  32. 114.5
  33. 6:13
  34. 12:17
  35. 82.5
  36. 12.5
  37. 30
  38. 88
  39. 49.5
  40. 5:19

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