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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 860 · 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 1:12? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  3. 3.A clock shows 2:31. What time will it show 160 minutes later? (a) 5:21 (b) 5:01 (c) 5:11 (d) 6:11
  4. 4.How many degrees does the minute hand of a clock turn in 3 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 19 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
  7. 7.A clock shows 3:02. What time will it show 58 minutes later? (a) 5:00 (b) 3:50 (c) 4:10 (d) 4:00
  8. 8.A clock shows 4:52. What time will it show 73 minutes later? (a) 6:05 (b) 6:15 (c) 5:55 (d) 7:05
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  10. 10.A clock shows 12:32. What time will it show 100 minutes later? (a) 3:12 (b) 2:02 (c) 2:12 (d) 2:22
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 166 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  16. 16.A clock shows 9:21. What time will it show 34 minutes later? (a) 10:05 (b) 10:55 (c) 9:55 (d) 9:45
  17. 17.How many degrees does the hour hand of a clock turn in 59 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  19. 19.A clock shows 3:59. What time will it show 84 minutes later? (a) 5:13 (b) 6:23 (c) 5:23 (d) 5:33
  20. 20.How many degrees does the hour hand of a clock turn in 43 minutes? =
  21. 21.A clock shows 3:45. What time will it show 68 minutes later? (a) 5:53 (b) 4:43 (c) 4:53 (d) 5:03
  22. 22.How many degrees does the minute hand of a clock turn in 33 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 28 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 53 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 137 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 36 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 32 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  31. 31.A clock shows 2:28. What time will it show 22 minutes later? (a) 3:00 (b) 2:50 (c) 3:50 (d) 2:40
  32. 32.A clock shows 8:55. What time will it show 89 minutes later? (a) 10:14 (b) 10:34 (c) 10:24 (d) 11:24
  33. 33.A clock shows 4:13. What time will it show 42 minutes later? (a) 4:55 (b) 5:55 (c) 4:45 (d) 5:05
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  35. 35.A clock shows 1:56. What time will it show 45 minutes later? (a) 2:51 (b) 3:41 (c) 2:41 (d) 2:31
  36. 36.A clock shows 8:38. What time will it show 98 minutes later? (a) 11:16 (b) 10:26 (c) 10:06 (d) 10:16
  37. 37.How many degrees does the hour hand of a clock turn in 153 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 13 minutes? =
  40. 40.A clock shows 9:07. What time will it show 106 minutes later? (a) 10:53 (b) 11:53 (c) 11:03 (d) 10:43

Answer key

  1. 36
  2. 166.5
  3. 5:11
  4. 18
  5. 9.5
  6. 41.5
  7. 4:00
  8. 6:05
  9. 10
  10. 2:12
  11. 36.5
  12. 83
  13. 28.5
  14. 75.5
  15. 0
  16. 9:55
  17. 29.5
  18. 90
  19. 5:23
  20. 21.5
  21. 4:53
  22. 198
  23. 81
  24. 14
  25. 26.5
  26. 68.5
  27. 216
  28. 192
  29. 111.5
  30. 81.5
  31. 2:50
  32. 10:24
  33. 4:55
  34. 133.5
  35. 2:41
  36. 10:16
  37. 76.5
  38. 45
  39. 78
  40. 10:53

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