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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 283 · 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 2:43. What time will it show 14 minutes later? (a) 2:47 (b) 3:57 (c) 3:07 (d) 2:57
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  3. 3.A clock shows 5:25. What time will it show 66 minutes later? (a) 6:21 (b) 7:31 (c) 6:31 (d) 6:41
  4. 4.A clock shows 1:20. What time will it show 121 minutes later? (a) 3:11 (b) 3:31 (c) 3:21 (d) 4:21
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 73 minutes? =
  7. 7.A clock shows 5:54. What time will it show 39 minutes later? (a) 6:23 (b) 6:43 (c) 7:33 (d) 6:33
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 70 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 92 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 7 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 19 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 167 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 60 minutes? =
  20. 20.A clock shows 9:01. What time will it show 49 minutes later? (a) 9:40 (b) 10:50 (c) 9:50 (d) 10:00
  21. 21.A clock shows 8:10. What time will it show 60 minutes later? (a) 9:20 (b) 9:10 (c) 10:10 (d) 9:00
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  24. 24.A clock shows 9:25. What time will it show 113 minutes later? (a) 12:18 (b) 11:18 (c) 11:28 (d) 11:08
  25. 25.How many degrees does the minute hand of a clock turn in 16 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  28. 28.A clock shows 1:24. What time will it show 46 minutes later? (a) 2:00 (b) 3:10 (c) 2:10 (d) 2:20
  29. 29.A clock shows 9:17. What time will it show 165 minutes later? (a) 12:02 (b) 1:02 (c) 12:12 (d) 11:52
  30. 30.A clock shows 12:16. What time will it show 165 minutes later? (a) 4:01 (b) 3:11 (c) 2:51 (d) 3:01
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 161 minutes? =
  33. 33.A clock shows 5:56. What time will it show 32 minutes later? (a) 6:18 (b) 6:28 (c) 6:38 (d) 7:28
  34. 34.A clock shows 3:43. What time will it show 158 minutes later? (a) 6:11 (b) 6:21 (c) 7:21 (d) 6:31
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 126 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 13 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =

Answer key

  1. 2:57
  2. 24
  3. 6:31
  4. 3:21
  5. 167
  6. 36.5
  7. 6:33
  8. 104
  9. 65.5
  10. 84.5
  11. 35
  12. 46
  13. 3
  14. 169.5
  15. 42
  16. 114
  17. 49
  18. 83.5
  19. 30
  20. 9:50
  21. 9:10
  22. 139
  23. 170.5
  24. 11:18
  25. 96
  26. 42
  27. 24
  28. 2:10
  29. 12:02
  30. 3:01
  31. 73.5
  32. 80.5
  33. 6:28
  34. 6:21
  35. 81.5
  36. 177.5
  37. 21
  38. 63
  39. 78
  40. 43

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