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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 471 · 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 8 minutes? =
  2. 2.A clock shows 4:10. What time will it show 25 minutes later? (a) 4:25 (b) 5:35 (c) 4:35 (d) 4:45
  3. 3.How many degrees does the hour hand of a clock turn in 177 minutes? =
  4. 4.A clock shows 8:59. What time will it show 61 minutes later? (a) 9:50 (b) 10:10 (c) 11:00 (d) 10:00
  5. 5.How many degrees does the minute hand of a clock turn in 23 minutes? =
  6. 6.A clock shows 10:10. What time will it show 145 minutes later? (a) 12:45 (b) 12:25 (c) 12:35 (d) 1:35
  7. 7.How many degrees does the minute hand of a clock turn in 57 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 101 minutes? =
  11. 11.A clock shows 2:03. What time will it show 58 minutes later? (a) 4:01 (b) 3:01 (c) 3:11 (d) 2:51
  12. 12.How many degrees does the minute hand of a clock turn in 56 minutes? =
  13. 13.A clock shows 8:15. What time will it show 120 minutes later? (a) 10:25 (b) 11:15 (c) 10:15 (d) 10:05
  14. 14.A clock shows 10:27. What time will it show 134 minutes later? (a) 12:41 (b) 1:41 (c) 12:31 (d) 12:51
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 54 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  19. 19.A clock shows 6:07. What time will it show 57 minutes later? (a) 7:04 (b) 8:04 (c) 7:14 (d) 6:54
  20. 20.A clock shows 2:19. What time will it show 54 minutes later? (a) 4:13 (b) 3:03 (c) 3:13 (d) 3:23
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 115 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 19 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 137 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 112 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 111 minutes? =
  31. 31.A clock shows 8:56. What time will it show 135 minutes later? (a) 12:11 (b) 11:11 (c) 11:21 (d) 11:01
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  34. 34.A clock shows 9:44. What time will it show 17 minutes later? (a) 10:11 (b) 11:01 (c) 9:51 (d) 10:01
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  36. 36.A clock shows 7:42. What time will it show 16 minutes later? (a) 8:58 (b) 7:58 (c) 7:48 (d) 8:08
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =

Answer key

  1. 48
  2. 4:35
  3. 88.5
  4. 10:00
  5. 138
  6. 12:35
  7. 342
  8. 118.5
  9. 171
  10. 50.5
  11. 3:01
  12. 336
  13. 10:15
  14. 12:41
  15. 95.5
  16. 138.5
  17. 324
  18. 65
  19. 7:04
  20. 3:13
  21. 125.5
  22. 65
  23. 170.5
  24. 57.5
  25. 114
  26. 68.5
  27. 56
  28. 94.5
  29. 61
  30. 55.5
  31. 11:11
  32. 79.5
  33. 80
  34. 10:01
  35. 82.5
  36. 7:58
  37. 115
  38. 94
  39. 127
  40. 136.5

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