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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 877 · 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 27 minutes? =
  2. 2.A clock shows 3:09. What time will it show 83 minutes later? (a) 4:42 (b) 5:32 (c) 4:32 (d) 4:22
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 63 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  6. 6.A clock shows 3:04. What time will it show 101 minutes later? (a) 5:45 (b) 4:45 (c) 4:35 (d) 4:55
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 25 minutes? =
  9. 9.A clock shows 8:57. What time will it show 149 minutes later? (a) 11:16 (b) 12:26 (c) 11:36 (d) 11:26
  10. 10.A clock shows 10:05. What time will it show 50 minutes later? (a) 11:05 (b) 10:45 (c) 10:55 (d) 11:55
  11. 11.A clock shows 3:55. What time will it show 98 minutes later? (a) 5:33 (b) 6:33 (c) 5:43 (d) 5:23
  12. 12.How many degrees does the minute hand of a clock turn in 55 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 108 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 174 minutes? =
  17. 17.A clock shows 7:34. What time will it show 156 minutes later? (a) 10:00 (b) 10:10 (c) 10:20 (d) 11:10
  18. 18.A clock shows 11:24. What time will it show 127 minutes later? (a) 2:31 (b) 1:41 (c) 1:31 (d) 1:21
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  20. 20.A clock shows 8:25. What time will it show 165 minutes later? (a) 11:00 (b) 12:10 (c) 11:20 (d) 11:10
  21. 21.A clock shows 4:01. What time will it show 13 minutes later? (a) 4:24 (b) 5:14 (c) 4:14 (d) 4:04
  22. 22.A clock shows 8:12. What time will it show 86 minutes later? (a) 9:48 (b) 10:38 (c) 9:28 (d) 9:38
  23. 23.A clock shows 7:39. What time will it show 117 minutes later? (a) 10:36 (b) 9:26 (c) 9:36 (d) 9:46
  24. 24.How many degrees does the hour hand of a clock turn in 139 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 13 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 79 minutes? =
  27. 27.A clock shows 10:45. What time will it show 10 minutes later? (a) 10:45 (b) 11:55 (c) 11:05 (d) 10:55
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 11 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  32. 32.A clock shows 11:20. What time will it show 155 minutes later? (a) 2:05 (b) 1:45 (c) 1:55 (d) 2:55
  33. 33.How many degrees does the hour hand of a clock turn in 137 minutes? =
  34. 34.A clock shows 3:45. What time will it show 83 minutes later? (a) 6:08 (b) 4:58 (c) 5:08 (d) 5:18
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  38. 38.A clock shows 5:46. What time will it show 157 minutes later? (a) 8:33 (b) 8:23 (c) 9:23 (d) 8:13
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =

Answer key

  1. 162
  2. 4:32
  3. 177.5
  4. 31.5
  5. 150
  6. 4:45
  7. 25.5
  8. 150
  9. 11:26
  10. 10:55
  11. 5:33
  12. 330
  13. 54
  14. 145
  15. 142
  16. 87
  17. 10:10
  18. 1:31
  19. 69
  20. 11:10
  21. 4:14
  22. 9:38
  23. 9:36
  24. 69.5
  25. 78
  26. 39.5
  27. 10:55
  28. 74.5
  29. 46
  30. 66
  31. 109
  32. 1:55
  33. 68.5
  34. 5:08
  35. 137
  36. 94
  37. 56
  38. 8:23
  39. 61.5
  40. 15.5

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