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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 636 · 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 14 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 37 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  6. 6.A clock shows 9:01. What time will it show 80 minutes later? (a) 11:21 (b) 10:21 (c) 10:11 (d) 10:31
  7. 7.How many degrees does the hour hand of a clock turn in 136 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 41 minutes? =
  9. 9.A clock shows 4:59. What time will it show 19 minutes later? (a) 6:18 (b) 5:28 (c) 5:08 (d) 5:18
  10. 10.A clock shows 3:40. What time will it show 53 minutes later? (a) 5:33 (b) 4:43 (c) 4:23 (d) 4:33
  11. 11.A clock shows 9:51. What time will it show 27 minutes later? (a) 10:18 (b) 10:28 (c) 11:18 (d) 10:08
  12. 12.A clock shows 2:05. What time will it show 70 minutes later? (a) 4:15 (b) 3:15 (c) 3:25 (d) 3:05
  13. 13.A clock shows 10:55. What time will it show 64 minutes later? (a) 12:59 (b) 11:59 (c) 12:09 (d) 11:49
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 29 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 3 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 116 minutes? =
  18. 18.A clock shows 8:20. What time will it show 108 minutes later? (a) 11:08 (b) 10:08 (c) 9:58 (d) 10:18
  19. 19.How many degrees does the minute hand of a clock turn in 12 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 142 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 53 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 163 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 94 minutes? =
  26. 26.A clock shows 8:17. What time will it show 130 minutes later? (a) 10:37 (b) 10:27 (c) 11:27 (d) 10:17
  27. 27.A clock shows 4:59. What time will it show 23 minutes later? (a) 5:22 (b) 6:22 (c) 5:32 (d) 5:12
  28. 28.How many degrees does the minute hand of a clock turn in 24 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  30. 30.A clock shows 5:29. What time will it show 63 minutes later? (a) 6:42 (b) 6:32 (c) 6:22 (d) 7:32
  31. 31.How many degrees does the hour hand of a clock turn in 34 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 25 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 48 minutes? =
  35. 35.A clock shows 9:42. What time will it show 93 minutes later? (a) 11:15 (b) 11:05 (c) 12:15 (d) 11:25
  36. 36.A clock shows 6:06. What time will it show 55 minutes later? (a) 7:01 (b) 6:51 (c) 8:01 (d) 7:11
  37. 37.How many degrees does the minute hand of a clock turn in 23 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 161 minutes? =

Answer key

  1. 7
  2. 101.5
  3. 67.5
  4. 222
  5. 23.5
  6. 10:21
  7. 68
  8. 20.5
  9. 5:18
  10. 4:33
  11. 10:18
  12. 3:15
  13. 11:59
  14. 70.5
  15. 174
  16. 18
  17. 58
  18. 10:08
  19. 72
  20. 71
  21. 134.5
  22. 114.5
  23. 26.5
  24. 81.5
  25. 47
  26. 10:27
  27. 5:22
  28. 144
  29. 144.5
  30. 6:32
  31. 17
  32. 102
  33. 150
  34. 288
  35. 11:15
  36. 7:01
  37. 138
  38. 110
  39. 21
  40. 80.5

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