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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 647 · 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 8:10? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 8 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  4. 4.A clock shows 1:22. What time will it show 72 minutes later? (a) 2:44 (b) 3:34 (c) 2:34 (d) 2:24
  5. 5.How many degrees does the minute hand of a clock turn in 59 minutes? =
  6. 6.A clock shows 3:25. What time will it show 148 minutes later? (a) 6:03 (b) 6:53 (c) 5:43 (d) 5:53
  7. 7.How many degrees does the hour hand of a clock turn in 53 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  9. 9.A clock shows 3:59. What time will it show 160 minutes later? (a) 6:39 (b) 7:39 (c) 6:49 (d) 6:29
  10. 10.How many degrees does the minute hand of a clock turn in 46 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 52 minutes? =
  12. 12.A clock shows 5:18. What time will it show 64 minutes later? (a) 6:22 (b) 6:32 (c) 7:22 (d) 6:12
  13. 13.A clock shows 12:46. What time will it show 55 minutes later? (a) 1:41 (b) 2:41 (c) 1:31 (d) 1:51
  14. 14.A clock shows 3:43. What time will it show 110 minutes later? (a) 5:33 (b) 6:33 (c) 5:23 (d) 5:43
  15. 15.How many degrees does the minute hand of a clock turn in 39 minutes? =
  16. 16.A clock shows 5:24. What time will it show 166 minutes later? (a) 8:00 (b) 9:10 (c) 8:20 (d) 8:10
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
  19. 19.A clock shows 5:39. What time will it show 84 minutes later? (a) 7:03 (b) 8:03 (c) 7:13 (d) 6:53
  20. 20.How many degrees does the hour hand of a clock turn in 24 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 177 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 7 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 125 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 20 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 33 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  34. 34.A clock shows 8:08. What time will it show 97 minutes later? (a) 10:45 (b) 9:45 (c) 9:35 (d) 9:55
  35. 35.How many degrees does the hour hand of a clock turn in 43 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  37. 37.A clock shows 12:17. What time will it show 139 minutes later? (a) 2:36 (b) 2:46 (c) 2:26 (d) 3:36
  38. 38.A clock shows 1:06. What time will it show 17 minutes later? (a) 1:13 (b) 1:33 (c) 2:23 (d) 1:23
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =

Answer key

  1. 175
  2. 48
  3. 117
  4. 2:34
  5. 354
  6. 5:53
  7. 26.5
  8. 161.5
  9. 6:39
  10. 276
  11. 312
  12. 6:22
  13. 1:41
  14. 5:33
  15. 234
  16. 8:10
  17. 148.5
  18. 86
  19. 7:03
  20. 12
  21. 149.5
  22. 150.5
  23. 88.5
  24. 42
  25. 79.5
  26. 136
  27. 62.5
  28. 128.5
  29. 120
  30. 112.5
  31. 198
  32. 167.5
  33. 54
  34. 9:45
  35. 21.5
  36. 11.5
  37. 2:36
  38. 1:23
  39. 19.5
  40. 35.5

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