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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 83 · 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 59 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 30 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  4. 4.A clock shows 3:12. What time will it show 121 minutes later? (a) 5:13 (b) 6:13 (c) 5:03 (d) 5:23
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  6. 6.A clock shows 6:13. What time will it show 85 minutes later? (a) 7:48 (b) 7:38 (c) 8:38 (d) 7:28
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  8. 8.A clock shows 4:11. What time will it show 39 minutes later? (a) 4:50 (b) 5:50 (c) 4:40 (d) 5:00
  9. 9.How many degrees does the hour hand of a clock turn in 48 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 11 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 18 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  14. 14.A clock shows 12:05. What time will it show 47 minutes later? (a) 12:42 (b) 1:02 (c) 12:52 (d) 1:52
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  16. 16.A clock shows 10:44. What time will it show 106 minutes later? (a) 12:40 (b) 12:30 (c) 12:20 (d) 1:30
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 21 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 157 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 19 minutes? =
  23. 23.A clock shows 5:27. What time will it show 14 minutes later? (a) 5:51 (b) 5:31 (c) 5:41 (d) 6:41
  24. 24.How many degrees does the minute hand of a clock turn in 45 minutes? =
  25. 25.A clock shows 7:14. What time will it show 85 minutes later? (a) 8:39 (b) 8:29 (c) 9:39 (d) 8:49
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  29. 29.A clock shows 5:55. What time will it show 55 minutes later? (a) 6:40 (b) 7:50 (c) 7:00 (d) 6:50
  30. 30.How many degrees does the minute hand of a clock turn in 35 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  32. 32.A clock shows 8:14. What time will it show 129 minutes later? (a) 10:23 (b) 10:33 (c) 11:23 (d) 10:13
  33. 33.A clock shows 6:46. What time will it show 57 minutes later? (a) 8:43 (b) 7:53 (c) 7:33 (d) 7:43
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 2 minutes? =
  36. 36.A clock shows 12:31. What time will it show 70 minutes later? (a) 2:41 (b) 1:51 (c) 1:31 (d) 1:41
  37. 37.A clock shows 2:20. What time will it show 19 minutes later? (a) 2:39 (b) 2:49 (c) 2:29 (d) 3:39
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 33 minutes? =
  40. 40.A clock shows 8:12. What time will it show 169 minutes later? (a) 10:51 (b) 11:01 (c) 12:01 (d) 11:11

Answer key

  1. 29.5
  2. 180
  3. 170.5
  4. 5:13
  5. 54
  6. 7:38
  7. 114.5
  8. 4:50
  9. 24
  10. 66
  11. 9
  12. 156
  13. 118.5
  14. 12:52
  15. 139.5
  16. 12:30
  17. 84.5
  18. 126
  19. 95.5
  20. 78.5
  21. 134.5
  22. 114
  23. 5:41
  24. 270
  25. 8:39
  26. 110
  27. 51.5
  28. 31.5
  29. 6:50
  30. 210
  31. 3
  32. 10:23
  33. 7:43
  34. 134
  35. 12
  36. 1:41
  37. 2:39
  38. 153
  39. 198
  40. 11:01

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