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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 857 · 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 138 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 105 minutes? =
  3. 3.A clock shows 7:32. What time will it show 33 minutes later? (a) 8:15 (b) 9:05 (c) 7:55 (d) 8:05
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 98 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 26 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  12. 12.A clock shows 6:46. What time will it show 20 minutes later? (a) 6:56 (b) 8:06 (c) 7:06 (d) 7:16
  13. 13.How many degrees does the minute hand of a clock turn in 49 minutes? =
  14. 14.A clock shows 1:26. What time will it show 27 minutes later? (a) 1:43 (b) 2:53 (c) 1:53 (d) 2:03
  15. 15.How many degrees does the hour hand of a clock turn in 137 minutes? =
  16. 16.A clock shows 12:22. What time will it show 110 minutes later? (a) 3:12 (b) 2:02 (c) 2:22 (d) 2:12
  17. 17.How many degrees does the hour hand of a clock turn in 45 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 51 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 80 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 47 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  25. 25.A clock shows 1:37. What time will it show 76 minutes later? (a) 3:03 (b) 3:53 (c) 2:43 (d) 2:53
  26. 26.How many degrees does the minute hand of a clock turn in 29 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  28. 28.A clock shows 5:04. What time will it show 106 minutes later? (a) 7:50 (b) 7:00 (c) 6:40 (d) 6:50
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  30. 30.A clock shows 3:38. What time will it show 79 minutes later? (a) 5:07 (b) 4:47 (c) 5:57 (d) 4:57
  31. 31.A clock shows 7:27. What time will it show 154 minutes later? (a) 10:11 (b) 10:01 (c) 11:01 (d) 9:51
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
  34. 34.A clock shows 12:47. What time will it show 113 minutes later? (a) 2:50 (b) 2:30 (c) 3:40 (d) 2:40
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  36. 36.A clock shows 4:39. What time will it show 26 minutes later? (a) 4:55 (b) 6:05 (c) 5:05 (d) 5:15
  37. 37.A clock shows 3:14. What time will it show 153 minutes later? (a) 5:37 (b) 6:47 (c) 5:47 (d) 5:57
  38. 38.How many degrees does the hour hand of a clock turn in 52 minutes? =
  39. 39.A clock shows 2:04. What time will it show 92 minutes later? (a) 3:26 (b) 3:46 (c) 3:36 (d) 4:36
  40. 40.A clock shows 2:29. What time will it show 84 minutes later? (a) 3:43 (b) 3:53 (c) 4:03 (d) 4:53

Answer key

  1. 69
  2. 52.5
  3. 8:05
  4. 133
  5. 49
  6. 17
  7. 13
  8. 157
  9. 114.5
  10. 78
  11. 140
  12. 7:06
  13. 294
  14. 1:53
  15. 68.5
  16. 2:12
  17. 22.5
  18. 51
  19. 306
  20. 64
  21. 40
  22. 282
  23. 149.5
  24. 89.5
  25. 2:53
  26. 174
  27. 159
  28. 6:50
  29. 19
  30. 4:57
  31. 10:01
  32. 59.5
  33. 59.5
  34. 2:40
  35. 81.5
  36. 5:05
  37. 5:47
  38. 26
  39. 3:36
  40. 3:53

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