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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 186 · 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 100 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 7 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 29 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 5 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 55 minutes? =
  11. 11.A clock shows 2:41. What time will it show 151 minutes later? (a) 5:22 (b) 6:12 (c) 5:02 (d) 5:12
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  14. 14.A clock shows 9:39. What time will it show 80 minutes later? (a) 10:59 (b) 11:59 (c) 10:49 (d) 11:09
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 167 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 79 minutes? =
  19. 19.A clock shows 3:04. What time will it show 104 minutes later? (a) 5:48 (b) 4:48 (c) 4:38 (d) 4:58
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 146 minutes? =
  22. 22.A clock shows 9:09. What time will it show 11 minutes later? (a) 9:20 (b) 9:10 (c) 10:20 (d) 9:30
  23. 23.A clock shows 6:34. What time will it show 59 minutes later? (a) 7:23 (b) 8:33 (c) 7:33 (d) 7:43
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 44 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 117 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 51 minutes? =
  28. 28.A clock shows 1:37. What time will it show 130 minutes later? (a) 3:37 (b) 4:47 (c) 3:57 (d) 3:47
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  30. 30.A clock shows 9:47. What time will it show 139 minutes later? (a) 12:16 (b) 11:56 (c) 1:06 (d) 12:06
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
  32. 32.A clock shows 5:19. What time will it show 102 minutes later? (a) 6:51 (b) 7:01 (c) 8:01 (d) 7:11
  33. 33.How many degrees does the hour hand of a clock turn in 48 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 21 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 46 minutes? =
  36. 36.A clock shows 2:28. What time will it show 70 minutes later? (a) 4:38 (b) 3:48 (c) 3:38 (d) 3:28
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:43? (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 41 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 164 minutes? =

Answer key

  1. 50
  2. 42
  3. 108
  4. 157
  5. 14.5
  6. 100.5
  7. 30
  8. 136.5
  9. 131
  10. 330
  11. 5:12
  12. 111
  13. 89
  14. 10:59
  15. 76.5
  16. 83.5
  17. 39.5
  18. 39.5
  19. 4:48
  20. 177
  21. 73
  22. 9:20
  23. 7:33
  24. 70
  25. 264
  26. 58.5
  27. 306
  28. 3:47
  29. 174
  30. 12:06
  31. 125
  32. 7:01
  33. 24
  34. 10.5
  35. 23
  36. 3:38
  37. 3.5
  38. 288
  39. 246
  40. 82

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