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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 105 · 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 1:00? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  7. 7.A clock shows 2:14. What time will it show 34 minutes later? (a) 2:58 (b) 2:38 (c) 2:48 (d) 3:48
  8. 8.A clock shows 8:43. What time will it show 125 minutes later? (a) 10:58 (b) 10:48 (c) 10:38 (d) 11:48
  9. 9.How many degrees does the minute hand of a clock turn in 29 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 75 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  13. 13.A clock shows 12:07. What time will it show 105 minutes later? (a) 2:02 (b) 1:42 (c) 2:52 (d) 1:52
  14. 14.How many degrees does the hour hand of a clock turn in 30 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 33 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  22. 22.A clock shows 4:46. What time will it show 135 minutes later? (a) 6:51 (b) 7:01 (c) 8:01 (d) 7:11
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 40 minutes? =
  26. 26.A clock shows 1:43. What time will it show 100 minutes later? (a) 4:23 (b) 3:33 (c) 3:23 (d) 3:13
  27. 27.How many degrees does the hour hand of a clock turn in 15 minutes? =
  28. 28.A clock shows 7:10. What time will it show 85 minutes later? (a) 8:35 (b) 9:35 (c) 8:25 (d) 8:45
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 118 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 41 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 18 minutes? =
  37. 37.A clock shows 11:05. What time will it show 48 minutes later? (a) 11:43 (b) 11:53 (c) 12:03 (d) 12:53
  38. 38.A clock shows 4:01. What time will it show 50 minutes later? (a) 4:41 (b) 5:01 (c) 5:51 (d) 4:51
  39. 39.A clock shows 8:05. What time will it show 15 minutes later? (a) 9:20 (b) 8:10 (c) 8:30 (d) 8:20
  40. 40.A clock shows 10:28. What time will it show 82 minutes later? (a) 12:00 (b) 12:50 (c) 11:40 (d) 11:50

Answer key

  1. 30
  2. 90.5
  3. 23
  4. 14.5
  5. 38
  6. 51
  7. 2:48
  8. 10:48
  9. 174
  10. 48.5
  11. 37.5
  12. 118
  13. 1:52
  14. 15
  15. 111.5
  16. 73
  17. 198
  18. 30.5
  19. 23.5
  20. 24
  21. 118.5
  22. 7:01
  23. 111
  24. 139
  25. 240
  26. 3:23
  27. 7.5
  28. 8:35
  29. 74.5
  30. 47
  31. 59
  32. 12
  33. 177
  34. 246
  35. 11
  36. 9
  37. 11:53
  38. 4:51
  39. 8:20
  40. 11:50

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