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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 951 · 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 103 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 39 minutes? =
  3. 3.A clock shows 4:25. What time will it show 78 minutes later? (a) 5:53 (b) 6:43 (c) 5:43 (d) 5:33
  4. 4.How many degrees does the minute hand of a clock turn in 25 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 55 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  12. 12.A clock shows 8:12. What time will it show 110 minutes later? (a) 11:02 (b) 9:52 (c) 10:12 (d) 10:02
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  15. 15.A clock shows 9:24. What time will it show 160 minutes later? (a) 12:04 (b) 11:54 (c) 1:04 (d) 12:14
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 23 minutes? =
  18. 18.A clock shows 1:43. What time will it show 137 minutes later? (a) 5:00 (b) 4:00 (c) 3:50 (d) 4:10
  19. 19.A clock shows 3:44. What time will it show 69 minutes later? (a) 4:43 (b) 4:53 (c) 5:03 (d) 5:53
  20. 20.How many degrees does the hour hand of a clock turn in 180 minutes? =
  21. 21.A clock shows 4:10. What time will it show 52 minutes later? (a) 4:52 (b) 5:02 (c) 6:02 (d) 5:12
  22. 22.A clock shows 5:01. What time will it show 102 minutes later? (a) 6:43 (b) 6:53 (c) 7:43 (d) 6:33
  23. 23.How many degrees does the hour hand of a clock turn in 43 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 46 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  28. 28.A clock shows 9:19. What time will it show 132 minutes later? (a) 12:31 (b) 11:21 (c) 11:41 (d) 11:31
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  30. 30.A clock shows 11:21. What time will it show 143 minutes later? (a) 1:34 (b) 1:54 (c) 1:44 (d) 2:44
  31. 31.How many degrees does the hour hand of a clock turn in 20 minutes? =
  32. 32.A clock shows 1:27. What time will it show 15 minutes later? (a) 1:42 (b) 1:32 (c) 1:52 (d) 2:42
  33. 33.How many degrees does the hour hand of a clock turn in 145 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 87 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 135 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =

Answer key

  1. 51.5
  2. 234
  3. 5:43
  4. 150
  5. 42
  6. 14
  7. 147.5
  8. 177
  9. 330
  10. 136.5
  11. 21.5
  12. 10:02
  13. 171.5
  14. 37.5
  15. 12:04
  16. 1.5
  17. 11.5
  18. 4:00
  19. 4:53
  20. 90
  21. 5:02
  22. 6:43
  23. 21.5
  24. 11
  25. 157.5
  26. 276
  27. 38.5
  28. 11:31
  29. 7
  30. 1:44
  31. 10
  32. 1:42
  33. 72.5
  34. 43.5
  35. 22.5
  36. 109
  37. 70
  38. 41.5
  39. 67.5
  40. 127

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