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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 291 · 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.A clock shows 1:53. What time will it show 29 minutes later? (a) 3:22 (b) 2:32 (c) 2:22 (d) 2:12
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 59 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  5. 5.A clock shows 1:01. What time will it show 135 minutes later? (a) 4:16 (b) 3:16 (c) 3:26 (d) 3:06
  6. 6.A clock shows 2:28. What time will it show 132 minutes later? (a) 5:40 (b) 4:50 (c) 4:30 (d) 4:40
  7. 7.A clock shows 4:53. What time will it show 16 minutes later? (a) 6:09 (b) 4:59 (c) 5:09 (d) 5:19
  8. 8.How many degrees does the hour hand of a clock turn in 89 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 100 minutes? =
  10. 10.A clock shows 1:36. What time will it show 97 minutes later? (a) 3:03 (b) 4:13 (c) 3:13 (d) 3:23
  11. 11.A clock shows 12:18. What time will it show 170 minutes later? (a) 2:58 (b) 3:08 (c) 4:08 (d) 3:18
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 30 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  18. 18.A clock shows 9:08. What time will it show 74 minutes later? (a) 10:32 (b) 10:22 (c) 10:12 (d) 11:22
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 6 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 14 minutes? =
  22. 22.A clock shows 6:32. What time will it show 138 minutes later? (a) 8:50 (b) 9:50 (c) 9:00 (d) 8:40
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 16 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 13 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  27. 27.A clock shows 4:47. What time will it show 15 minutes later? (a) 4:52 (b) 5:02 (c) 6:02 (d) 5:12
  28. 28.How many degrees does the minute hand of a clock turn in 9 minutes? =
  29. 29.A clock shows 7:55. What time will it show 96 minutes later? (a) 9:31 (b) 9:21 (c) 9:41 (d) 10:31
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  31. 31.A clock shows 1:53. What time will it show 21 minutes later? (a) 3:14 (b) 2:04 (c) 2:24 (d) 2:14
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  35. 35.A clock shows 4:44. What time will it show 66 minutes later? (a) 6:00 (b) 6:50 (c) 5:40 (d) 5:50
  36. 36.A clock shows 1:17. What time will it show 74 minutes later? (a) 2:31 (b) 3:31 (c) 2:21 (d) 2:41
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 120 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  40. 40.A clock shows 4:16. What time will it show 113 minutes later? (a) 7:09 (b) 6:19 (c) 5:59 (d) 6:09

Answer key

  1. 2:22
  2. 123.5
  3. 29.5
  4. 104.5
  5. 3:16
  6. 4:40
  7. 5:09
  8. 44.5
  9. 50
  10. 3:13
  11. 3:08
  12. 32
  13. 180
  14. 66
  15. 63.5
  16. 168.5
  17. 36
  18. 10:22
  19. 110.5
  20. 36
  21. 7
  22. 8:50
  23. 122.5
  24. 96
  25. 6.5
  26. 140
  27. 5:02
  28. 54
  29. 9:31
  30. 132
  31. 2:14
  32. 14.5
  33. 31.5
  34. 71.5
  35. 5:50
  36. 2:31
  37. 84.5
  38. 60
  39. 97
  40. 6:09

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