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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 833 · 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 10 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 42 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  5. 5.A clock shows 1:18. What time will it show 11 minutes later? (a) 1:29 (b) 1:19 (c) 2:29 (d) 1:39
  6. 6.How many degrees does the hour hand of a clock turn in 174 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 23 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 2 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  11. 11.A clock shows 3:22. What time will it show 72 minutes later? (a) 5:34 (b) 4:34 (c) 4:24 (d) 4:44
  12. 12.A clock shows 10:20. What time will it show 15 minutes later? (a) 11:35 (b) 10:25 (c) 10:35 (d) 10:45
  13. 13.How many degrees does the minute hand of a clock turn in 28 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 32 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 16 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 84 minutes? =
  20. 20.A clock shows 3:31. What time will it show 28 minutes later? (a) 4:09 (b) 4:59 (c) 3:59 (d) 3:49
  21. 21.A clock shows 4:00. What time will it show 145 minutes later? (a) 6:15 (b) 6:35 (c) 7:25 (d) 6:25
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 42 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 51 minutes? =
  25. 25.A clock shows 8:37. What time will it show 112 minutes later? (a) 10:29 (b) 10:19 (c) 10:39 (d) 11:29
  26. 26.A clock shows 1:37. What time will it show 91 minutes later? (a) 4:08 (b) 2:58 (c) 3:08 (d) 3:18
  27. 27.A clock shows 4:06. What time will it show 162 minutes later? (a) 6:58 (b) 6:38 (c) 7:48 (d) 6:48
  28. 28.How many degrees does the minute hand of a clock turn in 27 minutes? =
  29. 29.A clock shows 4:39. What time will it show 111 minutes later? (a) 7:30 (b) 6:20 (c) 6:30 (d) 6:40
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 25 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 39 minutes? =
  37. 37.A clock shows 10:10. What time will it show 21 minutes later? (a) 10:21 (b) 11:31 (c) 10:41 (d) 10:31
  38. 38.How many degrees does the hour hand of a clock turn in 102 minutes? =
  39. 39.A clock shows 7:27. What time will it show 111 minutes later? (a) 10:18 (b) 9:28 (c) 9:18 (d) 9:08
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =

Answer key

  1. 5
  2. 124.5
  3. 21
  4. 111
  5. 1:29
  6. 87
  7. 11.5
  8. 117
  9. 12
  10. 75.5
  11. 4:34
  12. 10:35
  13. 168
  14. 107
  15. 34.5
  16. 16
  17. 8
  18. 131.5
  19. 42
  20. 3:59
  21. 6:25
  22. 48.5
  23. 252
  24. 306
  25. 10:29
  26. 3:08
  27. 6:48
  28. 162
  29. 6:30
  30. 49.5
  31. 12.5
  32. 166.5
  33. 169.5
  34. 10
  35. 68
  36. 19.5
  37. 10:31
  38. 51
  39. 9:18
  40. 37

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