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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 401 · 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 7 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 24 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
  5. 5.A clock shows 12:00. What time will it show 49 minutes later? (a) 1:49 (b) 12:49 (c) 12:59 (d) 12:39
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 11 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 126 minutes? =
  9. 9.A clock shows 1:50. What time will it show 159 minutes later? (a) 4:29 (b) 4:19 (c) 4:39 (d) 5:29
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  11. 11.A clock shows 12:50. What time will it show 16 minutes later? (a) 1:16 (b) 2:06 (c) 1:06 (d) 12:56
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  13. 13.A clock shows 12:27. What time will it show 82 minutes later? (a) 1:39 (b) 2:49 (c) 1:49 (d) 1:59
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  15. 15.A clock shows 7:56. What time will it show 57 minutes later? (a) 9:03 (b) 8:43 (c) 9:53 (d) 8:53
  16. 16.A clock shows 10:53. What time will it show 34 minutes later? (a) 12:27 (b) 11:37 (c) 11:27 (d) 11:17
  17. 17.A clock shows 7:23. What time will it show 68 minutes later? (a) 8:31 (b) 9:31 (c) 8:21 (d) 8:41
  18. 18.A clock shows 11:43. What time will it show 86 minutes later? (a) 1:19 (b) 1:09 (c) 2:09 (d) 12:59
  19. 19.A clock shows 2:58. What time will it show 32 minutes later? (a) 3:20 (b) 3:40 (c) 4:30 (d) 3:30
  20. 20.How many degrees does the minute hand of a clock turn in 53 minutes? =
  21. 21.A clock shows 8:56. What time will it show 90 minutes later? (a) 10:36 (b) 10:16 (c) 11:26 (d) 10:26
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 47 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 83 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  26. 26.A clock shows 11:12. What time will it show 98 minutes later? (a) 1:00 (b) 12:40 (c) 1:50 (d) 12:50
  27. 27.How many degrees does the minute hand of a clock turn in 48 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  30. 30.A clock shows 8:03. What time will it show 154 minutes later? (a) 11:37 (b) 10:27 (c) 10:37 (d) 10:47
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 49 minutes? =
  34. 34.A clock shows 9:44. What time will it show 135 minutes later? (a) 11:49 (b) 11:59 (c) 12:59 (d) 12:09
  35. 35.How many degrees does the hour hand of a clock turn in 162 minutes? =
  36. 36.A clock shows 9:50. What time will it show 80 minutes later? (a) 11:00 (b) 12:10 (c) 11:20 (d) 11:10
  37. 37.A clock shows 12:31. What time will it show 107 minutes later? (a) 2:28 (b) 2:08 (c) 2:18 (d) 3:18
  38. 38.A clock shows 12:15. What time will it show 78 minutes later? (a) 1:23 (b) 1:43 (c) 1:33 (d) 2:33
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  40. 40.A clock shows 4:31. What time will it show 88 minutes later? (a) 5:49 (b) 6:09 (c) 5:59 (d) 6:59

Answer key

  1. 42
  2. 125
  3. 144
  4. 168
  5. 12:49
  6. 92
  7. 66
  8. 63
  9. 4:29
  10. 20.5
  11. 1:06
  12. 8.5
  13. 1:49
  14. 121.5
  15. 8:53
  16. 11:27
  17. 8:31
  18. 1:09
  19. 3:30
  20. 318
  21. 10:26
  22. 107.5
  23. 23.5
  24. 41.5
  25. 58.5
  26. 12:50
  27. 288
  28. 110.5
  29. 121.5
  30. 10:37
  31. 113.5
  32. 177.5
  33. 294
  34. 11:59
  35. 81
  36. 11:10
  37. 2:18
  38. 1:33
  39. 105
  40. 5:59

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