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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 87 · 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 hour hand of a clock turn in 32 minutes? =
  2. 2.A clock shows 7:58. What time will it show 82 minutes later? (a) 10:20 (b) 9:10 (c) 9:20 (d) 9:30
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  4. 4.A clock shows 7:03. What time will it show 150 minutes later? (a) 10:33 (b) 9:43 (c) 9:23 (d) 9:33
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
  6. 6.A clock shows 3:49. What time will it show 98 minutes later? (a) 5:27 (b) 5:17 (c) 5:37 (d) 6:27
  7. 7.How many degrees does the hour hand of a clock turn in 68 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 124 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 17 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  12. 12.A clock shows 2:50. What time will it show 56 minutes later? (a) 3:46 (b) 4:46 (c) 3:56 (d) 3:36
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  14. 14.A clock shows 2:58. What time will it show 42 minutes later? (a) 3:50 (b) 4:40 (c) 3:30 (d) 3:40
  15. 15.How many degrees does the hour hand of a clock turn in 171 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  17. 17.A clock shows 9:26. What time will it show 25 minutes later? (a) 9:41 (b) 9:51 (c) 10:51 (d) 10:01
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  20. 20.A clock shows 9:03. What time will it show 36 minutes later? (a) 9:29 (b) 9:39 (c) 9:49 (d) 10:39
  21. 21.A clock shows 6:08. What time will it show 83 minutes later? (a) 7:41 (b) 7:21 (c) 8:31 (d) 7:31
  22. 22.A clock shows 5:05. What time will it show 86 minutes later? (a) 6:41 (b) 6:21 (c) 6:31 (d) 7:31
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
  24. 24.A clock shows 6:04. What time will it show 138 minutes later? (a) 8:32 (b) 8:12 (c) 9:22 (d) 8:22
  25. 25.How many degrees does the minute hand of a clock turn in 26 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
  29. 29.A clock shows 6:17. What time will it show 29 minutes later? (a) 7:46 (b) 6:56 (c) 6:36 (d) 6:46
  30. 30.How many degrees does the hour hand of a clock turn in 173 minutes? =
  31. 31.A clock shows 5:33. What time will it show 63 minutes later? (a) 7:36 (b) 6:36 (c) 6:26 (d) 6:46
  32. 32.A clock shows 1:15. What time will it show 115 minutes later? (a) 3:20 (b) 3:10 (c) 3:00 (d) 4:10
  33. 33.How many degrees does the hour hand of a clock turn in 58 minutes? =
  34. 34.A clock shows 11:03. What time will it show 34 minutes later? (a) 11:37 (b) 12:37 (c) 11:27 (d) 11:47
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  36. 36.A clock shows 2:36. What time will it show 38 minutes later? (a) 4:14 (b) 3:04 (c) 3:14 (d) 3:24
  37. 37.How many degrees does the minute hand of a clock turn in 42 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =

Answer key

  1. 16
  2. 9:20
  3. 136
  4. 9:33
  5. 37.5
  6. 5:27
  7. 34
  8. 62
  9. 102
  10. 31.5
  11. 7
  12. 3:46
  13. 134.5
  14. 3:40
  15. 85.5
  16. 8.5
  17. 9:51
  18. 26
  19. 34
  20. 9:39
  21. 7:31
  22. 6:31
  23. 96
  24. 8:22
  25. 156
  26. 2
  27. 100.5
  28. 125
  29. 6:46
  30. 86.5
  31. 6:36
  32. 3:10
  33. 29
  34. 11:37
  35. 35
  36. 3:14
  37. 252
  38. 148
  39. 37
  40. 3.5

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