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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 519 · 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 12:35? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 4 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 51 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  5. 5.A clock shows 2:16. What time will it show 86 minutes later? (a) 3:32 (b) 4:42 (c) 3:42 (d) 3:52
  6. 6.How many degrees does the hour hand of a clock turn in 54 minutes? =
  7. 7.A clock shows 6:03. What time will it show 139 minutes later? (a) 9:22 (b) 8:22 (c) 8:32 (d) 8:12
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  10. 10.A clock shows 5:48. What time will it show 62 minutes later? (a) 7:00 (b) 7:50 (c) 6:50 (d) 6:40
  11. 11.A clock shows 12:10. What time will it show 101 minutes later? (a) 2:01 (b) 1:51 (c) 1:41 (d) 2:51
  12. 12.A clock shows 11:57. What time will it show 168 minutes later? (a) 2:55 (b) 2:35 (c) 3:45 (d) 2:45
  13. 13.A clock shows 8:59. What time will it show 52 minutes later? (a) 10:01 (b) 9:41 (c) 10:51 (d) 9:51
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  15. 15.A clock shows 1:15. What time will it show 25 minutes later? (a) 1:50 (b) 2:40 (c) 1:40 (d) 1:30
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 42 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 41 minutes? =
  19. 19.A clock shows 11:23. What time will it show 127 minutes later? (a) 1:40 (b) 2:30 (c) 1:30 (d) 1:20
  20. 20.A clock shows 2:40. What time will it show 150 minutes later? (a) 6:10 (b) 5:00 (c) 5:20 (d) 5:10
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 86 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 35 minutes? =
  26. 26.A clock shows 4:08. What time will it show 35 minutes later? (a) 4:33 (b) 5:43 (c) 4:53 (d) 4:43
  27. 27.A clock shows 5:30. What time will it show 160 minutes later? (a) 8:10 (b) 8:20 (c) 8:00 (d) 9:10
  28. 28.How many degrees does the hour hand of a clock turn in 125 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  30. 30.A clock shows 9:29. What time will it show 126 minutes later? (a) 12:35 (b) 11:35 (c) 11:45 (d) 11:25
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  32. 32.A clock shows 3:18. What time will it show 129 minutes later? (a) 5:37 (b) 5:17 (c) 6:27 (d) 5:27
  33. 33.A clock shows 2:03. What time will it show 19 minutes later? (a) 3:22 (b) 2:32 (c) 2:12 (d) 2:22
  34. 34.A clock shows 1:38. What time will it show 99 minutes later? (a) 3:17 (b) 3:07 (c) 3:27 (d) 4:17
  35. 35.A clock shows 7:47. What time will it show 170 minutes later? (a) 10:47 (b) 11:37 (c) 10:27 (d) 10:37
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  40. 40.A clock shows 2:40. What time will it show 39 minutes later? (a) 3:29 (b) 4:19 (c) 3:19 (d) 3:09

Answer key

  1. 167.5
  2. 24
  3. 306
  4. 89.5
  5. 3:42
  6. 27
  7. 8:22
  8. 33.5
  9. 51
  10. 6:50
  11. 1:51
  12. 2:45
  13. 9:51
  14. 107.5
  15. 1:40
  16. 143.5
  17. 252
  18. 246
  19. 1:30
  20. 5:10
  21. 71.5
  22. 19.5
  23. 43
  24. 115.5
  25. 210
  26. 4:43
  27. 8:10
  28. 62.5
  29. 139
  30. 11:35
  31. 6
  32. 5:27
  33. 2:22
  34. 3:17
  35. 10:37
  36. 77.5
  37. 93.5
  38. 27
  39. 81
  40. 3:19

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