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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 753 · 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 47 minutes? =
  2. 2.A clock shows 12:25. What time will it show 42 minutes later? (a) 1:07 (b) 1:17 (c) 12:57 (d) 2:07
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 36 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 167 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 23 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 41 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 22 minutes? =
  9. 9.A clock shows 10:24. What time will it show 25 minutes later? (a) 10:49 (b) 10:59 (c) 10:39 (d) 11:49
  10. 10.How many degrees does the hour hand of a clock turn in 134 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 21 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 32 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 99 minutes? =
  18. 18.A clock shows 11:10. What time will it show 26 minutes later? (a) 11:36 (b) 11:46 (c) 11:26 (d) 12:36
  19. 19.How many degrees does the minute hand of a clock turn in 38 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 80 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 13 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 43 minutes? =
  24. 24.A clock shows 11:52. What time will it show 93 minutes later? (a) 1:25 (b) 1:35 (c) 2:25 (d) 1:15
  25. 25.How many degrees does the hour hand of a clock turn in 123 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 26 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  30. 30.A clock shows 5:33. What time will it show 121 minutes later? (a) 8:34 (b) 7:44 (c) 7:34 (d) 7:24
  31. 31.How many degrees does the minute hand of a clock turn in 35 minutes? =
  32. 32.A clock shows 12:01. What time will it show 106 minutes later? (a) 2:47 (b) 1:57 (c) 1:37 (d) 1:47
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  34. 34.A clock shows 6:28. What time will it show 37 minutes later? (a) 6:55 (b) 7:15 (c) 7:05 (d) 8:05
  35. 35.A clock shows 8:53. What time will it show 89 minutes later? (a) 10:32 (b) 11:22 (c) 10:12 (d) 10:22
  36. 36.How many degrees does the hour hand of a clock turn in 147 minutes? =
  37. 37.A clock shows 3:34. What time will it show 18 minutes later? (a) 3:42 (b) 4:52 (c) 4:02 (d) 3:52
  38. 38.A clock shows 4:07. What time will it show 125 minutes later? (a) 6:22 (b) 7:12 (c) 6:12 (d) 6:02
  39. 39.How many degrees does the minute hand of a clock turn in 42 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =

Answer key

  1. 282
  2. 1:07
  3. 60
  4. 216
  5. 83.5
  6. 138
  7. 246
  8. 11
  9. 10:49
  10. 67
  11. 10.5
  12. 52
  13. 121.5
  14. 16
  15. 44
  16. 109
  17. 49.5
  18. 11:36
  19. 228
  20. 40
  21. 82
  22. 78
  23. 258
  24. 1:25
  25. 61.5
  26. 164.5
  27. 156
  28. 40.5
  29. 97
  30. 7:34
  31. 210
  32. 1:47
  33. 120.5
  34. 7:05
  35. 10:22
  36. 73.5
  37. 3:52
  38. 6:12
  39. 252
  40. 37

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