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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 351 · 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.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 156 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 67 minutes? =
  6. 6.A clock shows 6:04. What time will it show 28 minutes later? (a) 7:32 (b) 6:42 (c) 6:32 (d) 6:22
  7. 7.A clock shows 9:13. What time will it show 19 minutes later? (a) 10:32 (b) 9:32 (c) 9:42 (d) 9:22
  8. 8.A clock shows 12:02. What time will it show 133 minutes later? (a) 3:15 (b) 2:25 (c) 2:05 (d) 2:15
  9. 9.A clock shows 3:23. What time will it show 60 minutes later? (a) 4:13 (b) 5:23 (c) 4:33 (d) 4:23
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  12. 12.A clock shows 3:06. What time will it show 77 minutes later? (a) 4:33 (b) 5:23 (c) 4:23 (d) 4:13
  13. 13.A clock shows 6:21. What time will it show 111 minutes later? (a) 8:02 (b) 8:12 (c) 9:12 (d) 8:22
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 30 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 175 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 100 minutes? =
  19. 19.A clock shows 12:18. What time will it show 19 minutes later? (a) 1:37 (b) 12:27 (c) 12:47 (d) 12:37
  20. 20.A clock shows 6:59. What time will it show 68 minutes later? (a) 8:17 (b) 7:57 (c) 9:07 (d) 8:07
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  24. 24.A clock shows 7:57. What time will it show 31 minutes later? (a) 9:28 (b) 8:38 (c) 8:18 (d) 8:28
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  26. 26.A clock shows 9:04. What time will it show 130 minutes later? (a) 11:14 (b) 11:04 (c) 12:14 (d) 11:24
  27. 27.A clock shows 1:20. What time will it show 87 minutes later? (a) 2:37 (b) 2:47 (c) 3:47 (d) 2:57
  28. 28.How many degrees does the minute hand of a clock turn in 47 minutes? =
  29. 29.A clock shows 5:57. What time will it show 55 minutes later? (a) 7:02 (b) 6:42 (c) 7:52 (d) 6:52
  30. 30.A clock shows 12:28. What time will it show 73 minutes later? (a) 1:51 (b) 2:41 (c) 1:31 (d) 1:41
  31. 31.How many degrees does the hour hand of a clock turn in 37 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  33. 33.A clock shows 6:17. What time will it show 115 minutes later? (a) 8:22 (b) 9:12 (c) 8:12 (d) 8:02
  34. 34.A clock shows 3:57. What time will it show 31 minutes later? (a) 4:28 (b) 4:38 (c) 5:28 (d) 4:18
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 51 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  39. 39.A clock shows 2:07. What time will it show 141 minutes later? (a) 5:28 (b) 4:28 (c) 4:38 (d) 4:18
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =

Answer key

  1. 153
  2. 142.5
  3. 120
  4. 78
  5. 33.5
  6. 6:32
  7. 9:32
  8. 2:15
  9. 4:23
  10. 7
  11. 102.5
  12. 4:23
  13. 8:12
  14. 151
  15. 83
  16. 15
  17. 87.5
  18. 50
  19. 12:37
  20. 8:07
  21. 4.5
  22. 80
  23. 13.5
  24. 8:28
  25. 50
  26. 11:14
  27. 2:47
  28. 282
  29. 6:52
  30. 1:41
  31. 18.5
  32. 32.5
  33. 8:12
  34. 4:28
  35. 83.5
  36. 306
  37. 137
  38. 32
  39. 4:28
  40. 48.5

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