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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 738 · 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 40 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 136 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 96 minutes? =
  7. 7.A clock shows 8:26. What time will it show 126 minutes later? (a) 10:42 (b) 11:32 (c) 10:22 (d) 10:32
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 35 minutes? =
  10. 10.A clock shows 6:57. What time will it show 55 minutes later? (a) 7:42 (b) 8:52 (c) 8:02 (d) 7:52
  11. 11.A clock shows 1:10. What time will it show 53 minutes later? (a) 2:13 (b) 3:03 (c) 2:03 (d) 1:53
  12. 12.A clock shows 6:05. What time will it show 147 minutes later? (a) 8:22 (b) 9:32 (c) 8:32 (d) 8:42
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 3 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  16. 16.A clock shows 5:21. What time will it show 134 minutes later? (a) 8:35 (b) 7:45 (c) 7:35 (d) 7:25
  17. 17.How many degrees does the minute hand of a clock turn in 43 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 25 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 45 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  21. 21.A clock shows 3:53. What time will it show 139 minutes later? (a) 6:22 (b) 7:12 (c) 6:12 (d) 6:02
  22. 22.A clock shows 6:24. What time will it show 47 minutes later? (a) 7:21 (b) 7:11 (c) 7:01 (d) 8:11
  23. 23.A clock shows 10:31. What time will it show 44 minutes later? (a) 11:25 (b) 11:15 (c) 12:15 (d) 11:05
  24. 24.How many degrees does the minute hand of a clock turn in 33 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  27. 27.A clock shows 4:57. What time will it show 127 minutes later? (a) 6:54 (b) 7:14 (c) 7:04 (d) 8:04
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  29. 29.A clock shows 10:17. What time will it show 75 minutes later? (a) 11:22 (b) 11:42 (c) 12:32 (d) 11:32
  30. 30.How many degrees does the minute hand of a clock turn in 30 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 91 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  33. 33.A clock shows 3:59. What time will it show 81 minutes later? (a) 5:20 (b) 5:10 (c) 5:30 (d) 6:20
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  35. 35.A clock shows 5:56. What time will it show 110 minutes later? (a) 7:46 (b) 7:56 (c) 7:36 (d) 8:46
  36. 36.How many degrees does the hour hand of a clock turn in 89 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 120 minutes? =

Answer key

  1. 240
  2. 68
  3. 56
  4. 117.5
  5. 47.5
  6. 48
  7. 10:32
  8. 140.5
  9. 17.5
  10. 7:52
  11. 2:03
  12. 8:32
  13. 127
  14. 18
  15. 103
  16. 7:35
  17. 258
  18. 150
  19. 270
  20. 7
  21. 6:12
  22. 7:11
  23. 11:15
  24. 198
  25. 63
  26. 152.5
  27. 7:04
  28. 16.5
  29. 11:32
  30. 180
  31. 45.5
  32. 75.5
  33. 5:20
  34. 116
  35. 7:46
  36. 44.5
  37. 93
  38. 57
  39. 159.5
  40. 60

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