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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 882 · 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 8:53? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 30 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 41 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 146 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 8 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:49? (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 10:01. What time will it show 96 minutes later? (a) 11:27 (b) 11:37 (c) 11:47 (d) 12:37
  16. 16.How many degrees does the minute hand of a clock turn in 20 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 29 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  19. 19.A clock shows 5:49. What time will it show 28 minutes later? (a) 7:17 (b) 6:27 (c) 6:07 (d) 6:17
  20. 20.A clock shows 2:55. What time will it show 119 minutes later? (a) 5:04 (b) 5:54 (c) 4:44 (d) 4:54
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  23. 23.A clock shows 6:25. What time will it show 85 minutes later? (a) 7:50 (b) 8:50 (c) 7:40 (d) 8:00
  24. 24.A clock shows 2:36. What time will it show 132 minutes later? (a) 4:38 (b) 5:48 (c) 4:58 (d) 4:48
  25. 25.How many degrees does the minute hand of a clock turn in 38 minutes? =
  26. 26.A clock shows 1:26. What time will it show 144 minutes later? (a) 4:00 (b) 3:50 (c) 3:40 (d) 4:50
  27. 27.How many degrees does the minute hand of a clock turn in 12 minutes? =
  28. 28.A clock shows 2:24. What time will it show 45 minutes later? (a) 4:09 (b) 2:59 (c) 3:19 (d) 3:09
  29. 29.A clock shows 4:03. What time will it show 70 minutes later? (a) 5:13 (b) 6:13 (c) 5:23 (d) 5:03
  30. 30.A clock shows 5:36. What time will it show 44 minutes later? (a) 6:30 (b) 7:20 (c) 6:20 (d) 6:10
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 9 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 28 minutes? =
  37. 37.A clock shows 3:50. What time will it show 148 minutes later? (a) 6:08 (b) 7:18 (c) 6:28 (d) 6:18
  38. 38.How many degrees does the hour hand of a clock turn in 62 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 49 minutes? =

Answer key

  1. 51.5
  2. 180
  3. 30.5
  4. 246
  5. 23.5
  6. 41
  7. 155
  8. 73
  9. 163.5
  10. 174
  11. 35.5
  12. 48
  13. 120.5
  14. 168.5
  15. 11:37
  16. 120
  17. 174
  18. 110
  19. 6:17
  20. 4:54
  21. 156.5
  22. 106
  23. 7:50
  24. 4:48
  25. 228
  26. 3:50
  27. 72
  28. 3:09
  29. 5:13
  30. 6:20
  31. 0.5
  32. 5.5
  33. 176
  34. 40.5
  35. 54
  36. 168
  37. 6:18
  38. 31
  39. 108
  40. 294

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