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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 185 · 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 4:07? (in degrees) =
  2. 2.A clock shows 2:48. What time will it show 102 minutes later? (a) 4:20 (b) 4:30 (c) 4:40 (d) 5:30
  3. 3.A clock shows 12:30. What time will it show 74 minutes later? (a) 2:44 (b) 1:54 (c) 1:44 (d) 1:34
  4. 4.How many degrees does the minute hand of a clock turn in 20 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 30 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 27 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 13 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  15. 15.A clock shows 5:48. What time will it show 85 minutes later? (a) 7:23 (b) 8:13 (c) 7:03 (d) 7:13
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 13 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  21. 21.A clock shows 10:07. What time will it show 136 minutes later? (a) 12:33 (b) 12:13 (c) 1:23 (d) 12:23
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  23. 23.A clock shows 12:31. What time will it show 134 minutes later? (a) 2:55 (b) 3:45 (c) 2:35 (d) 2:45
  24. 24.A clock shows 10:55. What time will it show 13 minutes later? (a) 12:08 (b) 11:18 (c) 10:58 (d) 11:08
  25. 25.How many degrees does the minute hand of a clock turn in 15 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 39 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 175 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 75 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 37 minutes? =
  30. 30.A clock shows 7:34. What time will it show 37 minutes later? (a) 8:21 (b) 9:11 (c) 8:11 (d) 8:01
  31. 31.A clock shows 11:33. What time will it show 35 minutes later? (a) 11:58 (b) 12:18 (c) 12:08 (d) 1:08
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 8 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  36. 36.A clock shows 5:47. What time will it show 29 minutes later? (a) 6:26 (b) 6:06 (c) 6:16 (d) 7:16
  37. 37.A clock shows 3:02. What time will it show 11 minutes later? (a) 3:13 (b) 3:03 (c) 4:13 (d) 3:23
  38. 38.A clock shows 1:03. What time will it show 165 minutes later? (a) 3:38 (b) 3:58 (c) 4:48 (d) 3:48
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  40. 40.A clock shows 5:53. What time will it show 18 minutes later? (a) 6:01 (b) 6:21 (c) 6:11 (d) 7:11

Answer key

  1. 81.5
  2. 4:30
  3. 1:44
  4. 120
  5. 15
  6. 8
  7. 162
  8. 99.5
  9. 112
  10. 78
  11. 55.5
  12. 154
  13. 149
  14. 114
  15. 7:13
  16. 149.5
  17. 6.5
  18. 22.5
  19. 106.5
  20. 139.5
  21. 12:23
  22. 62.5
  23. 2:45
  24. 11:08
  25. 90
  26. 234
  27. 87.5
  28. 37.5
  29. 222
  30. 8:11
  31. 12:08
  32. 143.5
  33. 48
  34. 28
  35. 19
  36. 6:16
  37. 3:13
  38. 3:48
  39. 7
  40. 6:11

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