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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 830 · 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 1:06. What time will it show 150 minutes later? (a) 3:46 (b) 3:26 (c) 4:36 (d) 3:36
  2. 2.How many degrees does the minute hand of a clock turn in 37 minutes? =
  3. 3.A clock shows 6:14. What time will it show 157 minutes later? (a) 8:51 (b) 9:01 (c) 8:41 (d) 9:51
  4. 4.How many degrees does the minute hand of a clock turn in 41 minutes? =
  5. 5.A clock shows 4:56. What time will it show 32 minutes later? (a) 5:18 (b) 5:28 (c) 5:38 (d) 6:28
  6. 6.How many degrees does the minute hand of a clock turn in 39 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 174 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 16 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 37 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
  12. 12.A clock shows 3:17. What time will it show 121 minutes later? (a) 5:08 (b) 5:18 (c) 6:18 (d) 5:28
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:37? (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 6:24? (in degrees) =
  19. 19.A clock shows 8:30. What time will it show 100 minutes later? (a) 11:10 (b) 10:20 (c) 10:00 (d) 10:10
  20. 20.How many degrees does the minute hand of a clock turn in 9 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 76 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  24. 24.A clock shows 6:57. What time will it show 26 minutes later? (a) 8:23 (b) 7:13 (c) 7:23 (d) 7:33
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  27. 27.A clock shows 2:40. What time will it show 153 minutes later? (a) 5:03 (b) 6:13 (c) 5:13 (d) 5:23
  28. 28.How many degrees does the minute hand of a clock turn in 12 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 48 minutes? =
  31. 31.A clock shows 7:38. What time will it show 55 minutes later? (a) 8:43 (b) 8:23 (c) 9:33 (d) 8:33
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 3 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 25 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  38. 38.A clock shows 5:56. What time will it show 22 minutes later? (a) 6:18 (b) 6:08 (c) 7:18 (d) 6:28
  39. 39.A clock shows 10:31. What time will it show 45 minutes later? (a) 11:16 (b) 12:16 (c) 11:26 (d) 11:06
  40. 40.A clock shows 11:25. What time will it show 167 minutes later? (a) 2:12 (b) 3:12 (c) 2:02 (d) 2:22

Answer key

  1. 3:36
  2. 222
  3. 8:51
  4. 246
  5. 5:28
  6. 234
  7. 87
  8. 96
  9. 153
  10. 18.5
  11. 27
  12. 5:18
  13. 34
  14. 6.5
  15. 85
  16. 173.5
  17. 198
  18. 48
  19. 10:10
  20. 54
  21. 38
  22. 52
  23. 75
  24. 7:23
  25. 86
  26. 18.5
  27. 5:13
  28. 72
  29. 44.5
  30. 288
  31. 8:33
  32. 140.5
  33. 109
  34. 18
  35. 150
  36. 150
  37. 176
  38. 6:18
  39. 11:16
  40. 2:12

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