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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 722 · 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 18 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  5. 5.A clock shows 11:00. What time will it show 125 minutes later? (a) 12:55 (b) 2:05 (c) 1:15 (d) 1:05
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  8. 8.A clock shows 1:16. What time will it show 130 minutes later? (a) 3:16 (b) 4:26 (c) 3:36 (d) 3:26
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 100 minutes? =
  11. 11.A clock shows 4:55. What time will it show 26 minutes later? (a) 6:21 (b) 5:31 (c) 5:21 (d) 5:11
  12. 12.A clock shows 12:50. What time will it show 23 minutes later? (a) 1:03 (b) 1:13 (c) 1:23 (d) 2:13
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 170 minutes? =
  15. 15.A clock shows 4:48. What time will it show 51 minutes later? (a) 6:39 (b) 5:29 (c) 5:49 (d) 5:39
  16. 16.A clock shows 7:33. What time will it show 59 minutes later? (a) 8:32 (b) 8:22 (c) 8:42 (d) 9:32
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  18. 18.A clock shows 6:02. What time will it show 101 minutes later? (a) 7:33 (b) 7:43 (c) 8:43 (d) 7:53
  19. 19.How many degrees does the minute hand of a clock turn in 5 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 180 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 32 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 136 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 19 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  27. 27.A clock shows 8:22. What time will it show 61 minutes later? (a) 9:13 (b) 9:23 (c) 10:23 (d) 9:33
  28. 28.How many degrees does the hour hand of a clock turn in 179 minutes? =
  29. 29.A clock shows 6:50. What time will it show 52 minutes later? (a) 7:52 (b) 7:32 (c) 8:42 (d) 7:42
  30. 30.How many degrees does the minute hand of a clock turn in 31 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 4 minutes? =
  32. 32.A clock shows 2:15. What time will it show 63 minutes later? (a) 3:08 (b) 3:18 (c) 3:28 (d) 4:18
  33. 33.A clock shows 3:11. What time will it show 88 minutes later? (a) 4:29 (b) 4:39 (c) 4:49 (d) 5:39
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  35. 35.A clock shows 8:08. What time will it show 161 minutes later? (a) 10:59 (b) 10:39 (c) 11:49 (d) 10:49
  36. 36.How many degrees does the minute hand of a clock turn in 16 minutes? =
  37. 37.A clock shows 6:22. What time will it show 27 minutes later? (a) 6:59 (b) 7:49 (c) 6:49 (d) 6:39
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 63 minutes? =

Answer key

  1. 108
  2. 105
  3. 155.5
  4. 36
  5. 1:05
  6. 142
  7. 0.5
  8. 3:26
  9. 125.5
  10. 50
  11. 5:21
  12. 1:13
  13. 86.5
  14. 85
  15. 5:39
  16. 8:32
  17. 156
  18. 7:43
  19. 30
  20. 90
  21. 192
  22. 80.5
  23. 98
  24. 68
  25. 114
  26. 37.5
  27. 9:23
  28. 89.5
  29. 7:42
  30. 186
  31. 24
  32. 3:18
  33. 4:39
  34. 63.5
  35. 10:49
  36. 96
  37. 6:49
  38. 29.5
  39. 159.5
  40. 31.5

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