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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 232 · 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 9:26? (in degrees) =
  2. 2.A clock shows 9:21. What time will it show 77 minutes later? (a) 11:38 (b) 10:28 (c) 10:48 (d) 10:38
  3. 3.How many degrees does the minute hand of a clock turn in 10 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  5. 5.A clock shows 9:13. What time will it show 105 minutes later? (a) 10:58 (b) 10:48 (c) 11:08 (d) 11:58
  6. 6.How many degrees does the minute hand of a clock turn in 29 minutes? =
  7. 7.A clock shows 11:00. What time will it show 166 minutes later? (a) 1:36 (b) 2:46 (c) 1:56 (d) 1:46
  8. 8.How many degrees does the minute hand of a clock turn in 22 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 43 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  14. 14.A clock shows 9:05. What time will it show 166 minutes later? (a) 11:41 (b) 12:01 (c) 12:51 (d) 11:51
  15. 15.How many degrees does the hour hand of a clock turn in 87 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 8 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 13 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 28 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 53 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  22. 22.A clock shows 9:59. What time will it show 33 minutes later? (a) 10:42 (b) 10:22 (c) 10:32 (d) 11:32
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  25. 25.A clock shows 7:36. What time will it show 15 minutes later? (a) 7:41 (b) 8:51 (c) 8:01 (d) 7:51
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  27. 27.A clock shows 3:28. What time will it show 132 minutes later? (a) 6:40 (b) 5:40 (c) 5:30 (d) 5:50
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  29. 29.A clock shows 5:39. What time will it show 15 minutes later? (a) 5:44 (b) 6:54 (c) 5:54 (d) 6:04
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 34 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 3 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  36. 36.A clock shows 1:30. What time will it show 53 minutes later? (a) 2:23 (b) 2:33 (c) 3:23 (d) 2:13
  37. 37.A clock shows 11:16. What time will it show 116 minutes later? (a) 1:02 (b) 1:12 (c) 1:22 (d) 2:12
  38. 38.A clock shows 1:58. What time will it show 136 minutes later? (a) 5:14 (b) 4:24 (c) 4:04 (d) 4:14
  39. 39.A clock shows 2:58. What time will it show 116 minutes later? (a) 4:54 (b) 4:44 (c) 5:04 (d) 5:54
  40. 40.How many degrees does the minute hand of a clock turn in 38 minutes? =

Answer key

  1. 127
  2. 10:38
  3. 60
  4. 152
  5. 10:58
  6. 174
  7. 1:46
  8. 132
  9. 150
  10. 258
  11. 155.5
  12. 30.5
  13. 10.5
  14. 11:51
  15. 43.5
  16. 171
  17. 48
  18. 78
  19. 168
  20. 318
  21. 58.5
  22. 10:32
  23. 29.5
  24. 102
  25. 7:51
  26. 116.5
  27. 5:40
  28. 2.5
  29. 5:54
  30. 34
  31. 204
  32. 152
  33. 13
  34. 18
  35. 45
  36. 2:23
  37. 1:12
  38. 4:14
  39. 4:54
  40. 228

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