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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 267 · 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 56 minutes? =
  2. 2.A clock shows 10:43. What time will it show 100 minutes later? (a) 12:13 (b) 12:33 (c) 1:23 (d) 12:23
  3. 3.A clock shows 2:28. What time will it show 21 minutes later? (a) 2:39 (b) 2:49 (c) 3:49 (d) 2:59
  4. 4.How many degrees does the hour hand of a clock turn in 51 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 59 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  10. 10.A clock shows 4:14. What time will it show 165 minutes later? (a) 7:59 (b) 6:59 (c) 7:09 (d) 6:49
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  12. 12.A clock shows 12:46. What time will it show 31 minutes later? (a) 2:17 (b) 1:17 (c) 1:07 (d) 1:27
  13. 13.How many degrees does the hour hand of a clock turn in 13 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 6 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  18. 18.A clock shows 7:20. What time will it show 111 minutes later? (a) 9:21 (b) 9:01 (c) 10:11 (d) 9:11
  19. 19.How many degrees does the minute hand of a clock turn in 39 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 24 minutes? =
  21. 21.A clock shows 8:07. What time will it show 30 minutes later? (a) 8:37 (b) 8:47 (c) 9:37 (d) 8:27
  22. 22.A clock shows 4:28. What time will it show 33 minutes later? (a) 5:11 (b) 6:01 (c) 5:01 (d) 4:51
  23. 23.How many degrees does the minute hand of a clock turn in 30 minutes? =
  24. 24.A clock shows 4:40. What time will it show 88 minutes later? (a) 7:08 (b) 6:08 (c) 5:58 (d) 6:18
  25. 25.A clock shows 4:49. What time will it show 56 minutes later? (a) 5:55 (b) 5:45 (c) 5:35 (d) 6:45
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  28. 28.A clock shows 2:00. What time will it show 105 minutes later? (a) 3:35 (b) 3:45 (c) 3:55 (d) 4:45
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  30. 30.A clock shows 5:54. What time will it show 134 minutes later? (a) 7:58 (b) 9:08 (c) 8:18 (d) 8:08
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  32. 32.A clock shows 9:31. What time will it show 62 minutes later? (a) 10:33 (b) 10:43 (c) 10:23 (d) 11:33
  33. 33.How many degrees does the minute hand of a clock turn in 7 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 52 minutes? =
  35. 35.A clock shows 12:12. What time will it show 168 minutes later? (a) 2:50 (b) 3:00 (c) 4:00 (d) 3:10
  36. 36.A clock shows 3:42. What time will it show 51 minutes later? (a) 4:23 (b) 4:33 (c) 5:33 (d) 4:43
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  39. 39.A clock shows 1:23. What time will it show 95 minutes later? (a) 2:58 (b) 3:08 (c) 2:48 (d) 3:58
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =

Answer key

  1. 336
  2. 12:23
  3. 2:49
  4. 25.5
  5. 176.5
  6. 133
  7. 29.5
  8. 170
  9. 55.5
  10. 6:59
  11. 121.5
  12. 1:17
  13. 6.5
  14. 166.5
  15. 171
  16. 36
  17. 88
  18. 9:11
  19. 234
  20. 12
  21. 8:37
  22. 5:01
  23. 180
  24. 6:08
  25. 5:45
  26. 95
  27. 136
  28. 3:45
  29. 154.5
  30. 8:08
  31. 64
  32. 10:33
  33. 42
  34. 312
  35. 3:00
  36. 4:33
  37. 163.5
  38. 127.5
  39. 2:58
  40. 75.5

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