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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 254 · 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 3:05? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  3. 3.A clock shows 10:28. What time will it show 63 minutes later? (a) 11:41 (b) 12:31 (c) 11:21 (d) 11:31
  4. 4.How many degrees does the minute hand of a clock turn in 3 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 56 minutes? =
  7. 7.A clock shows 5:29. What time will it show 144 minutes later? (a) 7:53 (b) 7:43 (c) 8:53 (d) 8:03
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  9. 9.A clock shows 1:21. What time will it show 16 minutes later? (a) 2:37 (b) 1:37 (c) 1:47 (d) 1:27
  10. 10.How many degrees does the minute hand of a clock turn in 31 minutes? =
  11. 11.A clock shows 7:11. What time will it show 29 minutes later? (a) 8:40 (b) 7:30 (c) 7:50 (d) 7:40
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 57 minutes? =
  15. 15.A clock shows 10:32. What time will it show 162 minutes later? (a) 2:14 (b) 1:14 (c) 1:24 (d) 1:04
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 163 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 73 minutes? =
  19. 19.A clock shows 8:48. What time will it show 12 minutes later? (a) 10:00 (b) 9:00 (c) 8:50 (d) 9:10
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  22. 22.A clock shows 3:04. What time will it show 47 minutes later? (a) 4:01 (b) 4:51 (c) 3:41 (d) 3:51
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  24. 24.A clock shows 2:22. What time will it show 28 minutes later? (a) 2:50 (b) 2:40 (c) 3:50 (d) 3:00
  25. 25.A clock shows 3:04. What time will it show 42 minutes later? (a) 4:46 (b) 3:46 (c) 3:56 (d) 3:36
  26. 26.How many degrees does the minute hand of a clock turn in 50 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 51 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  33. 33.A clock shows 11:33. What time will it show 22 minutes later? (a) 12:05 (b) 11:45 (c) 11:55 (d) 12:55
  34. 34.How many degrees does the minute hand of a clock turn in 17 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 12 minutes? =
  36. 36.A clock shows 1:09. What time will it show 167 minutes later? (a) 4:56 (b) 3:46 (c) 3:56 (d) 4:06
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 32 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 53 minutes? =

Answer key

  1. 62.5
  2. 93.5
  3. 11:31
  4. 18
  5. 151
  6. 336
  7. 7:53
  8. 40
  9. 1:37
  10. 186
  11. 7:40
  12. 62.5
  13. 84.5
  14. 342
  15. 1:14
  16. 132
  17. 81.5
  18. 36.5
  19. 9:00
  20. 107
  21. 164.5
  22. 3:51
  23. 10.5
  24. 2:50
  25. 3:46
  26. 300
  27. 100
  28. 130
  29. 128.5
  30. 306
  31. 177.5
  32. 156
  33. 11:55
  34. 102
  35. 72
  36. 3:56
  37. 160.5
  38. 67.5
  39. 192
  40. 318

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