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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 183 · 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 6:22? (in degrees) =
  2. 2.A clock shows 5:27. What time will it show 151 minutes later? (a) 7:58 (b) 8:08 (c) 8:58 (d) 7:48
  3. 3.How many degrees does the hour hand of a clock turn in 92 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 52 minutes? =
  5. 5.A clock shows 3:18. What time will it show 15 minutes later? (a) 3:33 (b) 3:43 (c) 4:33 (d) 3:23
  6. 6.A clock shows 2:45. What time will it show 132 minutes later? (a) 5:07 (b) 4:47 (c) 5:57 (d) 4:57
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  9. 9.A clock shows 4:53. What time will it show 169 minutes later? (a) 7:42 (b) 8:42 (c) 7:32 (d) 7:52
  10. 10.How many degrees does the minute hand of a clock turn in 28 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 138 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 18 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  19. 19.A clock shows 11:53. What time will it show 38 minutes later? (a) 12:21 (b) 12:31 (c) 12:41 (d) 1:31
  20. 20.How many degrees does the minute hand of a clock turn in 12 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  24. 24.A clock shows 2:47. What time will it show 39 minutes later? (a) 4:26 (b) 3:16 (c) 3:26 (d) 3:36
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 36 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 105 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  29. 29.A clock shows 5:23. What time will it show 10 minutes later? (a) 5:23 (b) 6:33 (c) 5:33 (d) 5:43
  30. 30.A clock shows 7:47. What time will it show 155 minutes later? (a) 10:32 (b) 10:22 (c) 11:22 (d) 10:12
  31. 31.A clock shows 2:24. What time will it show 21 minutes later? (a) 2:45 (b) 2:55 (c) 3:45 (d) 2:35
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  34. 34.A clock shows 3:01. What time will it show 99 minutes later? (a) 4:30 (b) 5:40 (c) 4:50 (d) 4:40
  35. 35.A clock shows 9:42. What time will it show 65 minutes later? (a) 10:37 (b) 10:57 (c) 11:47 (d) 10:47
  36. 36.A clock shows 11:32. What time will it show 112 minutes later? (a) 1:14 (b) 2:24 (c) 1:24 (d) 1:34
  37. 37.How many degrees does the minute hand of a clock turn in 54 minutes? =
  38. 38.A clock shows 1:08. What time will it show 64 minutes later? (a) 2:02 (b) 3:12 (c) 2:12 (d) 2:22
  39. 39.A clock shows 2:10. What time will it show 41 minutes later? (a) 2:41 (b) 2:51 (c) 3:01 (d) 3:51
  40. 40.How many degrees does the hour hand of a clock turn in 10 minutes? =

Answer key

  1. 59
  2. 7:58
  3. 46
  4. 26
  5. 3:33
  6. 4:57
  7. 105
  8. 60
  9. 7:42
  10. 168
  11. 69
  12. 29.5
  13. 108
  14. 50.5
  15. 103.5
  16. 44
  17. 12
  18. 34.5
  19. 12:31
  20. 72
  21. 80
  22. 89.5
  23. 131
  24. 3:26
  25. 69.5
  26. 18
  27. 52.5
  28. 47
  29. 5:33
  30. 10:22
  31. 2:45
  32. 58
  33. 100
  34. 4:40
  35. 10:47
  36. 1:24
  37. 324
  38. 2:12
  39. 2:51
  40. 5

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