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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 211 · 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 hour hand of a clock turn in 95 minutes? =
  2. 2.A clock shows 3:58. What time will it show 35 minutes later? (a) 4:23 (b) 4:43 (c) 4:33 (d) 5:33
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 16 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 43 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 50 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  13. 13.A clock shows 12:28. What time will it show 54 minutes later? (a) 1:12 (b) 2:22 (c) 1:32 (d) 1:22
  14. 14.A clock shows 6:08. What time will it show 128 minutes later? (a) 8:16 (b) 9:16 (c) 8:06 (d) 8:26
  15. 15.A clock shows 4:57. What time will it show 83 minutes later? (a) 6:20 (b) 6:30 (c) 6:10 (d) 7:20
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 23 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 58 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 100 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  21. 21.A clock shows 5:35. What time will it show 58 minutes later? (a) 7:33 (b) 6:43 (c) 6:33 (d) 6:23
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  23. 23.A clock shows 10:18. What time will it show 49 minutes later? (a) 12:07 (b) 11:17 (c) 11:07 (d) 10:57
  24. 24.A clock shows 2:10. What time will it show 166 minutes later? (a) 4:46 (b) 5:06 (c) 4:56 (d) 5:56
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  27. 27.A clock shows 4:26. What time will it show 22 minutes later? (a) 4:58 (b) 5:48 (c) 4:38 (d) 4:48
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  29. 29.A clock shows 7:22. What time will it show 142 minutes later? (a) 9:54 (b) 9:34 (c) 9:44 (d) 10:44
  30. 30.How many degrees does the minute hand of a clock turn in 10 minutes? =
  31. 31.A clock shows 12:57. What time will it show 66 minutes later? (a) 2:03 (b) 3:03 (c) 2:13 (d) 1:53
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  34. 34.A clock shows 4:13. What time will it show 142 minutes later? (a) 6:35 (b) 7:35 (c) 6:25 (d) 6:45
  35. 35.How many degrees does the hour hand of a clock turn in 169 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 21 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  39. 39.A clock shows 10:28. What time will it show 31 minutes later? (a) 11:59 (b) 10:49 (c) 10:59 (d) 11:09
  40. 40.How many degrees does the minute hand of a clock turn in 26 minutes? =

Answer key

  1. 47.5
  2. 4:33
  3. 123
  4. 96
  5. 163.5
  6. 7.5
  7. 22
  8. 258
  9. 64.5
  10. 166.5
  11. 300
  12. 17
  13. 1:22
  14. 8:16
  15. 6:20
  16. 109.5
  17. 138
  18. 348
  19. 50
  20. 12
  21. 6:33
  22. 9
  23. 11:07
  24. 4:56
  25. 40.5
  26. 120.5
  27. 4:48
  28. 160.5
  29. 9:44
  30. 60
  31. 2:03
  32. 62.5
  33. 99.5
  34. 6:35
  35. 84.5
  36. 10.5
  37. 3.5
  38. 53
  39. 10:59
  40. 156

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