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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 388 · 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 8:05? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  3. 3.A clock shows 9:30. What time will it show 19 minutes later? (a) 9:39 (b) 9:49 (c) 10:49 (d) 9:59
  4. 4.A clock shows 6:47. What time will it show 160 minutes later? (a) 9:27 (b) 10:27 (c) 9:37 (d) 9:17
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 58 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 131 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 46 minutes? =
  12. 12.A clock shows 11:02. What time will it show 139 minutes later? (a) 1:31 (b) 1:11 (c) 2:21 (d) 1:21
  13. 13.A clock shows 11:17. What time will it show 154 minutes later? (a) 2:51 (b) 1:41 (c) 1:51 (d) 2:01
  14. 14.How many degrees does the minute hand of a clock turn in 23 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 19 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 33 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 6 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 31 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 156 minutes? =
  23. 23.A clock shows 10:43. What time will it show 40 minutes later? (a) 11:13 (b) 12:23 (c) 11:23 (d) 11:33
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  25. 25.A clock shows 12:07. What time will it show 42 minutes later? (a) 1:49 (b) 12:39 (c) 12:49 (d) 12:59
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 129 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 110 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 50 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  32. 32.A clock shows 7:43. What time will it show 142 minutes later? (a) 10:05 (b) 11:05 (c) 9:55 (d) 10:15
  33. 33.A clock shows 6:19. What time will it show 124 minutes later? (a) 9:23 (b) 8:33 (c) 8:23 (d) 8:13
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 49 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 130 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  39. 39.A clock shows 9:15. What time will it show 103 minutes later? (a) 11:58 (b) 10:58 (c) 11:08 (d) 10:48
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =

Answer key

  1. 147.5
  2. 12.5
  3. 9:49
  4. 9:27
  5. 36
  6. 348
  7. 169
  8. 17.5
  9. 42.5
  10. 65.5
  11. 276
  12. 1:21
  13. 1:51
  14. 138
  15. 107.5
  16. 28
  17. 114
  18. 198
  19. 28.5
  20. 36
  21. 186
  22. 78
  23. 11:23
  24. 69
  25. 12:49
  26. 62.5
  27. 162.5
  28. 64.5
  29. 55
  30. 300
  31. 145
  32. 10:05
  33. 8:23
  34. 54.5
  35. 294
  36. 37.5
  37. 65
  38. 170.5
  39. 10:58
  40. 57

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