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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 39 · 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 7:48? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 7 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 38 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 94 minutes? =
  9. 9.A clock shows 9:20. What time will it show 69 minutes later? (a) 10:39 (b) 11:29 (c) 10:19 (d) 10:29
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  12. 12.A clock shows 7:33. What time will it show 47 minutes later? (a) 8:10 (b) 8:30 (c) 9:20 (d) 8:20
  13. 13.How many degrees does the hour hand of a clock turn in 170 minutes? =
  14. 14.A clock shows 7:05. What time will it show 24 minutes later? (a) 7:29 (b) 7:19 (c) 8:29 (d) 7:39
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 68 minutes? =
  17. 17.A clock shows 3:19. What time will it show 140 minutes later? (a) 5:29 (b) 5:49 (c) 5:39 (d) 6:39
  18. 18.How many degrees does the hour hand of a clock turn in 51 minutes? =
  19. 19.A clock shows 8:30. What time will it show 79 minutes later? (a) 9:49 (b) 9:59 (c) 10:49 (d) 9:39
  20. 20.A clock shows 12:42. What time will it show 24 minutes later? (a) 1:16 (b) 12:56 (c) 1:06 (d) 2:06
  21. 21.How many degrees does the minute hand of a clock turn in 47 minutes? =
  22. 22.A clock shows 4:07. What time will it show 117 minutes later? (a) 6:14 (b) 6:04 (c) 5:54 (d) 7:04
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 108 minutes? =
  27. 27.A clock shows 3:33. What time will it show 14 minutes later? (a) 3:57 (b) 4:47 (c) 3:37 (d) 3:47
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  35. 35.A clock shows 10:32. What time will it show 59 minutes later? (a) 11:31 (b) 12:31 (c) 11:21 (d) 11:41
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  37. 37.A clock shows 4:14. What time will it show 59 minutes later? (a) 5:23 (b) 6:13 (c) 5:03 (d) 5:13
  38. 38.A clock shows 11:59. What time will it show 145 minutes later? (a) 3:24 (b) 2:24 (c) 2:34 (d) 2:14
  39. 39.How many degrees does the minute hand of a clock turn in 18 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =

Answer key

  1. 54
  2. 108.5
  3. 42
  4. 80.5
  5. 228
  6. 102.5
  7. 179
  8. 47
  9. 10:29
  10. 120
  11. 61
  12. 8:20
  13. 85
  14. 7:29
  15. 100
  16. 34
  17. 5:39
  18. 25.5
  19. 9:49
  20. 1:06
  21. 282
  22. 6:04
  23. 47
  24. 43
  25. 50.5
  26. 54
  27. 3:47
  28. 14
  29. 124
  30. 70
  31. 10.5
  32. 35
  33. 163
  34. 136
  35. 11:31
  36. 177
  37. 5:13
  38. 2:24
  39. 108
  40. 24

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