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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 476 · 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 9:14? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 50 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 120 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  5. 5.A clock shows 6:30. What time will it show 102 minutes later? (a) 9:12 (b) 8:02 (c) 8:12 (d) 8:22
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 118 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 12 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 57 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  17. 17.A clock shows 10:32. What time will it show 56 minutes later? (a) 11:28 (b) 11:18 (c) 12:28 (d) 11:38
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  19. 19.A clock shows 8:32. What time will it show 164 minutes later? (a) 12:16 (b) 11:26 (c) 11:16 (d) 11:06
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  22. 22.A clock shows 1:06. What time will it show 94 minutes later? (a) 2:50 (b) 3:40 (c) 2:40 (d) 2:30
  23. 23.A clock shows 10:10. What time will it show 95 minutes later? (a) 11:35 (b) 11:55 (c) 11:45 (d) 12:45
  24. 24.A clock shows 3:52. What time will it show 13 minutes later? (a) 4:05 (b) 4:15 (c) 3:55 (d) 5:05
  25. 25.How many degrees does the minute hand of a clock turn in 58 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 15 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  28. 28.A clock shows 10:33. What time will it show 126 minutes later? (a) 12:49 (b) 12:29 (c) 12:39 (d) 1:39
  29. 29.A clock shows 6:34. What time will it show 60 minutes later? (a) 7:34 (b) 7:24 (c) 8:34 (d) 7:44
  30. 30.A clock shows 1:29. What time will it show 16 minutes later? (a) 1:55 (b) 1:35 (c) 1:45 (d) 2:45
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 32 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 18 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 47 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  37. 37.A clock shows 9:45. What time will it show 88 minutes later? (a) 11:03 (b) 11:13 (c) 12:13 (d) 11:23
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  40. 40.A clock shows 11:52. What time will it show 21 minutes later? (a) 12:13 (b) 12:23 (c) 12:03 (d) 1:13

Answer key

  1. 167
  2. 300
  3. 60
  4. 155
  5. 8:12
  6. 96.5
  7. 20.5
  8. 59
  9. 72
  10. 133.5
  11. 173.5
  12. 28.5
  13. 129
  14. 153.5
  15. 104.5
  16. 15
  17. 11:28
  18. 129.5
  19. 11:16
  20. 174.5
  21. 78.5
  22. 2:40
  23. 11:45
  24. 4:05
  25. 348
  26. 90
  27. 106
  28. 12:39
  29. 7:34
  30. 1:45
  31. 119.5
  32. 16
  33. 9
  34. 23.5
  35. 148
  36. 80.5
  37. 11:13
  38. 74.5
  39. 86.5
  40. 12:13

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