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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 349 · 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 10:22? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
  3. 3.A clock shows 10:12. What time will it show 93 minutes later? (a) 11:35 (b) 11:55 (c) 12:45 (d) 11:45
  4. 4.A clock shows 7:24. What time will it show 165 minutes later? (a) 9:59 (b) 11:09 (c) 10:09 (d) 10:19
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  6. 6.A clock shows 3:14. What time will it show 43 minutes later? (a) 3:57 (b) 4:57 (c) 4:07 (d) 3:47
  7. 7.How many degrees does the hour hand of a clock turn in 56 minutes? =
  8. 8.A clock shows 9:46. What time will it show 138 minutes later? (a) 1:04 (b) 12:14 (c) 11:54 (d) 12:04
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 53 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 44 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 20 minutes? =
  15. 15.A clock shows 3:50. What time will it show 158 minutes later? (a) 6:38 (b) 6:28 (c) 6:18 (d) 7:28
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 48 minutes? =
  20. 20.A clock shows 9:32. What time will it show 20 minutes later? (a) 10:02 (b) 9:42 (c) 9:52 (d) 10:52
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:44? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 80 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  24. 24.A clock shows 11:40. What time will it show 29 minutes later? (a) 11:59 (b) 1:09 (c) 12:19 (d) 12:09
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 2 minutes? =
  27. 27.A clock shows 4:17. What time will it show 38 minutes later? (a) 5:55 (b) 5:05 (c) 4:45 (d) 4:55
  28. 28.How many degrees does the hour hand of a clock turn in 126 minutes? =
  29. 29.A clock shows 1:02. What time will it show 95 minutes later? (a) 3:37 (b) 2:47 (c) 2:27 (d) 2:37
  30. 30.A clock shows 7:39. What time will it show 114 minutes later? (a) 9:43 (b) 10:33 (c) 9:23 (d) 9:33
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  33. 33.A clock shows 12:10. What time will it show 17 minutes later? (a) 1:27 (b) 12:27 (c) 12:37 (d) 12:17
  34. 34.A clock shows 3:52. What time will it show 88 minutes later? (a) 5:20 (b) 6:20 (c) 5:30 (d) 5:10
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
  36. 36.A clock shows 11:30. What time will it show 150 minutes later? (a) 2:10 (b) 2:00 (c) 3:00 (d) 1:50
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 112 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 174 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =

Answer key

  1. 179
  2. 28
  3. 11:45
  4. 10:09
  5. 66.5
  6. 3:57
  7. 28
  8. 12:04
  9. 70.5
  10. 318
  11. 134
  12. 125.5
  13. 264
  14. 120
  15. 6:28
  16. 103
  17. 132
  18. 67.5
  19. 288
  20. 9:52
  21. 62
  22. 40
  23. 63
  24. 12:09
  25. 55.5
  26. 12
  27. 4:55
  28. 63
  29. 2:37
  30. 9:33
  31. 90
  32. 136
  33. 12:27
  34. 5:20
  35. 42
  36. 2:00
  37. 61.5
  38. 56
  39. 87
  40. 18.5

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