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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 421 · 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 3:55. What time will it show 137 minutes later? (a) 6:12 (b) 7:12 (c) 6:02 (d) 6:22
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  4. 4.A clock shows 2:12. What time will it show 74 minutes later? (a) 3:16 (b) 3:26 (c) 3:36 (d) 4:26
  5. 5.A clock shows 5:12. What time will it show 59 minutes later? (a) 6:01 (b) 7:11 (c) 6:21 (d) 6:11
  6. 6.A clock shows 6:21. What time will it show 25 minutes later? (a) 6:36 (b) 6:56 (c) 7:46 (d) 6:46
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 36 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 4 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 35 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 127 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 25 minutes? =
  17. 17.A clock shows 10:42. What time will it show 100 minutes later? (a) 12:32 (b) 1:22 (c) 12:22 (d) 12:12
  18. 18.A clock shows 2:23. What time will it show 131 minutes later? (a) 4:24 (b) 4:44 (c) 4:34 (d) 5:34
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 27 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 19 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  25. 25.A clock shows 10:54. What time will it show 16 minutes later? (a) 11:20 (b) 11:10 (c) 12:10 (d) 11:00
  26. 26.How many degrees does the hour hand of a clock turn in 40 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 179 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  30. 30.A clock shows 1:55. What time will it show 68 minutes later? (a) 4:03 (b) 2:53 (c) 3:03 (d) 3:13
  31. 31.A clock shows 5:37. What time will it show 70 minutes later? (a) 7:47 (b) 6:37 (c) 6:47 (d) 6:57
  32. 32.A clock shows 1:13. What time will it show 17 minutes later? (a) 1:20 (b) 2:30 (c) 1:30 (d) 1:40
  33. 33.How many degrees does the hour hand of a clock turn in 174 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  36. 36.A clock shows 3:50. What time will it show 41 minutes later? (a) 4:21 (b) 4:41 (c) 5:31 (d) 4:31
  37. 37.A clock shows 3:03. What time will it show 69 minutes later? (a) 4:22 (b) 5:12 (c) 4:02 (d) 4:12
  38. 38.A clock shows 10:38. What time will it show 37 minutes later? (a) 11:25 (b) 12:15 (c) 11:05 (d) 11:15
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 63 minutes? =

Answer key

  1. 6:12
  2. 30.5
  3. 170.5
  4. 3:26
  5. 6:11
  6. 6:46
  7. 22.5
  8. 216
  9. 113.5
  10. 132
  11. 38
  12. 162
  13. 24
  14. 210
  15. 63.5
  16. 150
  17. 12:22
  18. 4:34
  19. 166
  20. 13.5
  21. 9.5
  22. 21.5
  23. 5.5
  24. 145.5
  25. 11:10
  26. 20
  27. 89.5
  28. 78
  29. 31.5
  30. 3:03
  31. 6:47
  32. 1:30
  33. 87
  34. 179.5
  35. 40.5
  36. 4:31
  37. 4:12
  38. 11:15
  39. 165.5
  40. 31.5

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