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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 43 · 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 117 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
  3. 3.A clock shows 10:20. What time will it show 145 minutes later? (a) 1:45 (b) 12:35 (c) 12:45 (d) 12:55
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  5. 5.A clock shows 7:26. What time will it show 23 minutes later? (a) 7:49 (b) 7:39 (c) 8:49 (d) 7:59
  6. 6.A clock shows 8:20. What time will it show 135 minutes later? (a) 10:45 (b) 10:35 (c) 11:35 (d) 10:25
  7. 7.How many degrees does the hour hand of a clock turn in 65 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 15 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 94 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 16 minutes? =
  14. 14.A clock shows 12:55. What time will it show 26 minutes later? (a) 1:21 (b) 1:11 (c) 1:31 (d) 2:21
  15. 15.How many degrees does the minute hand of a clock turn in 30 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  17. 17.A clock shows 6:39. What time will it show 32 minutes later? (a) 8:11 (b) 7:11 (c) 7:01 (d) 7:21
  18. 18.How many degrees does the hour hand of a clock turn in 40 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  21. 21.A clock shows 4:57. What time will it show 96 minutes later? (a) 7:33 (b) 6:33 (c) 6:23 (d) 6:43
  22. 22.How many degrees does the hour hand of a clock turn in 159 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 170 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  25. 25.A clock shows 8:55. What time will it show 20 minutes later? (a) 9:15 (b) 9:25 (c) 10:15 (d) 9:05
  26. 26.A clock shows 4:22. What time will it show 29 minutes later? (a) 4:51 (b) 5:01 (c) 5:51 (d) 4:41
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  28. 28.A clock shows 2:34. What time will it show 146 minutes later? (a) 4:50 (b) 5:10 (c) 6:00 (d) 5:00
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  30. 30.A clock shows 1:34. What time will it show 132 minutes later? (a) 3:46 (b) 3:56 (c) 3:36 (d) 4:46
  31. 31.A clock shows 9:08. What time will it show 89 minutes later? (a) 10:47 (b) 10:37 (c) 11:37 (d) 10:27
  32. 32.A clock shows 7:58. What time will it show 114 minutes later? (a) 10:52 (b) 9:42 (c) 10:02 (d) 9:52
  33. 33.How many degrees does the minute hand of a clock turn in 11 minutes? =
  34. 34.A clock shows 12:12. What time will it show 20 minutes later? (a) 12:22 (b) 12:42 (c) 12:32 (d) 1:32
  35. 35.How many degrees does the minute hand of a clock turn in 33 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  39. 39.A clock shows 2:15. What time will it show 28 minutes later? (a) 2:33 (b) 2:43 (c) 3:43 (d) 2:53
  40. 40.How many degrees does the hour hand of a clock turn in 158 minutes? =

Answer key

  1. 58.5
  2. 4.5
  3. 12:45
  4. 3.5
  5. 7:49
  6. 10:35
  7. 32.5
  8. 119
  9. 7.5
  10. 47
  11. 71.5
  12. 25.5
  13. 96
  14. 1:21
  15. 180
  16. 19
  17. 7:11
  18. 20
  19. 113
  20. 81
  21. 6:33
  22. 79.5
  23. 85
  24. 44
  25. 9:15
  26. 4:51
  27. 151.5
  28. 5:00
  29. 64.5
  30. 3:46
  31. 10:37
  32. 9:52
  33. 66
  34. 12:32
  35. 198
  36. 162.5
  37. 126
  38. 48.5
  39. 2:43
  40. 79

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