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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 24 · 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 32 minutes? =
  2. 2.A clock shows 11:32. What time will it show 128 minutes later? (a) 1:40 (b) 1:50 (c) 2:40 (d) 1:30
  3. 3.How many degrees does the minute hand of a clock turn in 25 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 163 minutes? =
  7. 7.A clock shows 10:31. What time will it show 113 minutes later? (a) 1:24 (b) 12:24 (c) 12:14 (d) 12:34
  8. 8.A clock shows 6:11. What time will it show 31 minutes later? (a) 6:32 (b) 7:42 (c) 6:52 (d) 6:42
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  10. 10.A clock shows 6:41. What time will it show 144 minutes later? (a) 8:55 (b) 9:15 (c) 10:05 (d) 9:05
  11. 11.How many degrees does the minute hand of a clock turn in 56 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  13. 13.A clock shows 12:31. What time will it show 81 minutes later? (a) 1:42 (b) 2:02 (c) 1:52 (d) 2:52
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  15. 15.A clock shows 2:21. What time will it show 99 minutes later? (a) 4:00 (b) 4:10 (c) 3:50 (d) 5:00
  16. 16.A clock shows 2:02. What time will it show 10 minutes later? (a) 2:22 (b) 3:12 (c) 2:02 (d) 2:12
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 46 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 39 minutes? =
  25. 25.A clock shows 9:36. What time will it show 132 minutes later? (a) 12:48 (b) 11:48 (c) 11:38 (d) 11:58
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 15 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 54 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 23 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 35 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  38. 38.A clock shows 2:04. What time will it show 122 minutes later? (a) 4:06 (b) 3:56 (c) 5:06 (d) 4:16
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =

Answer key

  1. 192
  2. 1:40
  3. 150
  4. 17
  5. 68.5
  6. 81.5
  7. 12:24
  8. 6:42
  9. 82
  10. 9:05
  11. 336
  12. 70
  13. 1:52
  14. 173
  15. 4:00
  16. 2:12
  17. 20
  18. 100
  19. 29.5
  20. 121
  21. 125.5
  22. 276
  23. 156
  24. 234
  25. 11:48
  26. 70.5
  27. 77
  28. 123.5
  29. 114
  30. 54
  31. 90
  32. 38
  33. 175
  34. 324
  35. 11.5
  36. 210
  37. 114.5
  38. 4:06
  39. 143.5
  40. 99.5

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