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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 217 · 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 45 minutes? =
  2. 2.A clock shows 11:37. What time will it show 81 minutes later? (a) 1:08 (b) 1:58 (c) 12:48 (d) 12:58
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 101 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 146 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 36 minutes? =
  7. 7.A clock shows 8:36. What time will it show 46 minutes later? (a) 9:32 (b) 9:22 (c) 10:22 (d) 9:12
  8. 8.A clock shows 5:57. What time will it show 129 minutes later? (a) 8:06 (b) 9:06 (c) 8:16 (d) 7:56
  9. 9.How many degrees does the hour hand of a clock turn in 98 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 81 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 114 minutes? =
  14. 14.A clock shows 4:10. What time will it show 63 minutes later? (a) 5:23 (b) 5:03 (c) 6:13 (d) 5:13
  15. 15.How many degrees does the minute hand of a clock turn in 41 minutes? =
  16. 16.A clock shows 4:22. What time will it show 44 minutes later? (a) 4:56 (b) 6:06 (c) 5:16 (d) 5:06
  17. 17.A clock shows 7:27. What time will it show 96 minutes later? (a) 10:03 (b) 8:53 (c) 9:03 (d) 9:13
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  19. 19.A clock shows 1:36. What time will it show 130 minutes later? (a) 4:46 (b) 3:56 (c) 3:46 (d) 3:36
  20. 20.A clock shows 11:23. What time will it show 83 minutes later? (a) 12:36 (b) 12:46 (c) 1:46 (d) 12:56
  21. 21.How many degrees does the minute hand of a clock turn in 15 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 168 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 8 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 38 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 29 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 32 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  29. 29.A clock shows 8:32. What time will it show 161 minutes later? (a) 12:13 (b) 11:23 (c) 11:13 (d) 11:03
  30. 30.A clock shows 3:00. What time will it show 61 minutes later? (a) 3:51 (b) 4:11 (c) 5:01 (d) 4:01
  31. 31.How many degrees does the minute hand of a clock turn in 53 minutes? =
  32. 32.A clock shows 9:04. What time will it show 108 minutes later? (a) 11:52 (b) 10:42 (c) 11:02 (d) 10:52
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 37 minutes? =
  35. 35.A clock shows 10:21. What time will it show 155 minutes later? (a) 12:56 (b) 12:46 (c) 1:56 (d) 1:06
  36. 36.A clock shows 4:07. What time will it show 95 minutes later? (a) 5:42 (b) 6:42 (c) 5:52 (d) 5:32
  37. 37.A clock shows 9:04. What time will it show 111 minutes later? (a) 10:45 (b) 11:55 (c) 11:05 (d) 10:55
  38. 38.How many degrees does the hour hand of a clock turn in 177 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =

Answer key

  1. 270
  2. 12:58
  3. 89.5
  4. 50.5
  5. 73
  6. 216
  7. 9:22
  8. 8:06
  9. 49
  10. 41
  11. 40.5
  12. 43
  13. 57
  14. 5:13
  15. 246
  16. 5:06
  17. 9:03
  18. 177
  19. 3:46
  20. 12:46
  21. 90
  22. 84
  23. 48
  24. 14
  25. 19
  26. 174
  27. 16
  28. 173
  29. 11:13
  30. 4:01
  31. 318
  32. 10:52
  33. 47
  34. 18.5
  35. 12:56
  36. 5:42
  37. 10:55
  38. 88.5
  39. 40
  40. 108.5

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