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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 376 · 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.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  2. 2.A clock shows 3:44. What time will it show 166 minutes later? (a) 6:40 (b) 6:20 (c) 6:30 (d) 7:30
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  4. 4.A clock shows 9:17. What time will it show 77 minutes later? (a) 10:44 (b) 10:24 (c) 10:34 (d) 11:34
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 159 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 10 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  9. 9.A clock shows 12:31. What time will it show 44 minutes later? (a) 1:15 (b) 1:25 (c) 2:15 (d) 1:05
  10. 10.How many degrees does the minute hand of a clock turn in 5 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 17 minutes? =
  12. 12.A clock shows 12:01. What time will it show 135 minutes later? (a) 2:26 (b) 2:16 (c) 2:06 (d) 3:16
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  17. 17.A clock shows 10:01. What time will it show 161 minutes later? (a) 12:52 (b) 12:32 (c) 12:42 (d) 1:42
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  19. 19.A clock shows 12:17. What time will it show 165 minutes later? (a) 3:02 (b) 3:12 (c) 2:52 (d) 4:02
  20. 20.A clock shows 10:03. What time will it show 22 minutes later? (a) 10:35 (b) 10:15 (c) 10:25 (d) 11:25
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 12 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  24. 24.A clock shows 7:46. What time will it show 22 minutes later? (a) 8:08 (b) 8:18 (c) 9:08 (d) 7:58
  25. 25.How many degrees does the hour hand of a clock turn in 56 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 52 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 18 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 13 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 33 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  31. 31.A clock shows 4:41. What time will it show 152 minutes later? (a) 7:23 (b) 8:13 (c) 7:03 (d) 7:13
  32. 32.How many degrees does the minute hand of a clock turn in 11 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 117 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 51 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  38. 38.A clock shows 8:45. What time will it show 73 minutes later? (a) 9:48 (b) 10:58 (c) 9:58 (d) 10:08
  39. 39.A clock shows 11:30. What time will it show 164 minutes later? (a) 2:14 (b) 2:04 (c) 3:14 (d) 2:24
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =

Answer key

  1. 127.5
  2. 6:30
  3. 70
  4. 10:34
  5. 29
  6. 79.5
  7. 60
  8. 151.5
  9. 1:15
  10. 30
  11. 8.5
  12. 2:16
  13. 17.5
  14. 33.5
  15. 137.5
  16. 116
  17. 12:42
  18. 169
  19. 3:02
  20. 10:25
  21. 175.5
  22. 72
  23. 78.5
  24. 8:08
  25. 28
  26. 312
  27. 108
  28. 6.5
  29. 198
  30. 109.5
  31. 7:13
  32. 66
  33. 58.5
  34. 111
  35. 38
  36. 306
  37. 115
  38. 9:58
  39. 2:14
  40. 42

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