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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 526 · 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 52 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 150 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  5. 5.A clock shows 3:15. What time will it show 63 minutes later? (a) 4:18 (b) 5:18 (c) 4:08 (d) 4:28
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 12 minutes? =
  8. 8.A clock shows 7:13. What time will it show 125 minutes later? (a) 9:18 (b) 10:18 (c) 9:08 (d) 9:28
  9. 9.A clock shows 7:29. What time will it show 35 minutes later? (a) 8:04 (b) 9:04 (c) 7:54 (d) 8:14
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 17 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 49 minutes? =
  15. 15.A clock shows 2:41. What time will it show 32 minutes later? (a) 3:23 (b) 4:13 (c) 3:13 (d) 3:03
  16. 16.A clock shows 7:39. What time will it show 45 minutes later? (a) 8:14 (b) 9:24 (c) 8:24 (d) 8:34
  17. 17.How many degrees does the minute hand of a clock turn in 51 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 57 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 26 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 21 minutes? =
  24. 24.A clock shows 6:22. What time will it show 168 minutes later? (a) 9:00 (b) 9:10 (c) 9:20 (d) 10:10
  25. 25.How many degrees does the hour hand of a clock turn in 15 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 33 minutes? =
  28. 28.A clock shows 12:42. What time will it show 32 minutes later? (a) 1:14 (b) 2:14 (c) 1:24 (d) 1:04
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  30. 30.A clock shows 8:14. What time will it show 59 minutes later? (a) 9:23 (b) 9:13 (c) 10:13 (d) 9:03
  31. 31.How many degrees does the hour hand of a clock turn in 94 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 37 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 63 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 50 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 59 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 57 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =

Answer key

  1. 312
  2. 107.5
  3. 75
  4. 16.5
  5. 4:18
  6. 55.5
  7. 72
  8. 9:18
  9. 8:04
  10. 150
  11. 127
  12. 102
  13. 10
  14. 294
  15. 3:13
  16. 8:24
  17. 306
  18. 113.5
  19. 342
  20. 24.5
  21. 128.5
  22. 156
  23. 126
  24. 9:10
  25. 7.5
  26. 92.5
  27. 16.5
  28. 1:14
  29. 96.5
  30. 9:13
  31. 47
  32. 18.5
  33. 31.5
  34. 25
  35. 126
  36. 3.5
  37. 354
  38. 60
  39. 28.5
  40. 154

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