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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 441 · 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.A clock shows 1:22. What time will it show 166 minutes later? (a) 5:08 (b) 4:18 (c) 4:08 (d) 3:58
  2. 2.A clock shows 11:14. What time will it show 169 minutes later? (a) 2:03 (b) 1:53 (c) 2:13 (d) 3:03
  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 12:53? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 33 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  7. 7.A clock shows 3:39. What time will it show 20 minutes later? (a) 3:49 (b) 4:59 (c) 4:09 (d) 3:59
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  11. 11.A clock shows 12:39. What time will it show 138 minutes later? (a) 2:57 (b) 2:47 (c) 3:07 (d) 3:57
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  13. 13.A clock shows 2:39. What time will it show 39 minutes later? (a) 3:28 (b) 4:18 (c) 3:08 (d) 3:18
  14. 14.A clock shows 6:35. What time will it show 82 minutes later? (a) 7:47 (b) 8:57 (c) 8:07 (d) 7:57
  15. 15.How many degrees does the hour hand of a clock turn in 135 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 5 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  18. 18.A clock shows 3:28. What time will it show 78 minutes later? (a) 5:46 (b) 4:46 (c) 4:36 (d) 4:56
  19. 19.A clock shows 3:44. What time will it show 92 minutes later? (a) 5:26 (b) 5:06 (c) 5:16 (d) 6:16
  20. 20.A clock shows 1:25. What time will it show 170 minutes later? (a) 5:15 (b) 4:15 (c) 4:05 (d) 4:25
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 14 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 32 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 27 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 123 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  32. 32.A clock shows 1:09. What time will it show 23 minutes later? (a) 2:32 (b) 1:22 (c) 1:42 (d) 1:32
  33. 33.A clock shows 11:35. What time will it show 89 minutes later? (a) 2:04 (b) 12:54 (c) 1:04 (d) 1:14
  34. 34.How many degrees does the hour hand of a clock turn in 126 minutes? =
  35. 35.A clock shows 7:24. What time will it show 72 minutes later? (a) 8:46 (b) 8:36 (c) 9:36 (d) 8:26
  36. 36.How many degrees does the minute hand of a clock turn in 55 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 74 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 11 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =

Answer key

  1. 4:08
  2. 2:03
  3. 144
  4. 68.5
  5. 198
  6. 27
  7. 3:59
  8. 49
  9. 2.5
  10. 88
  11. 2:57
  12. 86.5
  13. 3:18
  14. 7:57
  15. 67.5
  16. 30
  17. 126
  18. 4:46
  19. 5:16
  20. 4:15
  21. 126.5
  22. 84
  23. 48
  24. 97
  25. 192
  26. 162
  27. 41
  28. 61.5
  29. 83.5
  30. 95
  31. 42
  32. 1:32
  33. 1:04
  34. 63
  35. 8:36
  36. 330
  37. 128
  38. 37
  39. 66
  40. 95.5

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