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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 752 · 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 hour hand of a clock turn in 44 minutes? =
  2. 2.A clock shows 5:26. What time will it show 119 minutes later? (a) 7:25 (b) 8:25 (c) 7:35 (d) 7:15
  3. 3.A clock shows 8:21. What time will it show 33 minutes later? (a) 9:04 (b) 9:54 (c) 8:54 (d) 8:44
  4. 4.How many degrees does the hour hand of a clock turn in 174 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 22 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  8. 8.A clock shows 1:37. What time will it show 103 minutes later? (a) 3:20 (b) 4:20 (c) 3:10 (d) 3:30
  9. 9.How many degrees does the hour hand of a clock turn in 140 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 57 minutes? =
  12. 12.A clock shows 9:57. What time will it show 26 minutes later? (a) 10:13 (b) 11:23 (c) 10:33 (d) 10:23
  13. 13.How many degrees does the hour hand of a clock turn in 64 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 59 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 46 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
  19. 19.A clock shows 5:53. What time will it show 92 minutes later? (a) 8:25 (b) 7:35 (c) 7:15 (d) 7:25
  20. 20.A clock shows 7:51. What time will it show 167 minutes later? (a) 10:48 (b) 10:28 (c) 10:38 (d) 11:38
  21. 21.A clock shows 11:07. What time will it show 71 minutes later? (a) 12:18 (b) 12:28 (c) 12:08 (d) 1:18
  22. 22.A clock shows 1:19. What time will it show 111 minutes later? (a) 3:10 (b) 4:10 (c) 3:00 (d) 3:20
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 142 minutes? =
  27. 27.A clock shows 2:52. What time will it show 137 minutes later? (a) 6:09 (b) 5:19 (c) 5:09 (d) 4:59
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  30. 30.A clock shows 1:26. What time will it show 57 minutes later? (a) 2:13 (b) 2:33 (c) 2:23 (d) 3:23
  31. 31.A clock shows 10:03. What time will it show 31 minutes later? (a) 10:44 (b) 10:24 (c) 10:34 (d) 11:34
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  33. 33.A clock shows 6:54. What time will it show 166 minutes later? (a) 9:40 (b) 10:40 (c) 9:50 (d) 9:30
  34. 34.How many degrees does the hour hand of a clock turn in 170 minutes? =
  35. 35.A clock shows 6:45. What time will it show 92 minutes later? (a) 9:17 (b) 8:27 (c) 8:17 (d) 8:07
  36. 36.How many degrees does the minute hand of a clock turn in 11 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 48 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 14 minutes? =
  40. 40.A clock shows 11:36. What time will it show 93 minutes later? (a) 12:59 (b) 2:09 (c) 1:19 (d) 1:09

Answer key

  1. 22
  2. 7:25
  3. 8:54
  4. 87
  5. 26.5
  6. 11
  7. 93
  8. 3:20
  9. 70
  10. 20.5
  11. 342
  12. 10:23
  13. 32
  14. 354
  15. 41.5
  16. 276
  17. 14
  18. 48
  19. 7:25
  20. 10:38
  21. 12:18
  22. 3:10
  23. 1
  24. 60.5
  25. 124.5
  26. 71
  27. 5:09
  28. 94
  29. 120
  30. 2:23
  31. 10:34
  32. 68
  33. 9:40
  34. 85
  35. 8:17
  36. 66
  37. 155.5
  38. 288
  39. 84
  40. 1:09

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