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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 147 · 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.A clock shows 9:07. What time will it show 31 minutes later? (a) 9:28 (b) 9:48 (c) 9:38 (d) 10:38
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  3. 3.A clock shows 6:59. What time will it show 32 minutes later? (a) 8:31 (b) 7:41 (c) 7:31 (d) 7:21
  4. 4.A clock shows 2:04. What time will it show 166 minutes later? (a) 5:50 (b) 4:50 (c) 4:40 (d) 5:00
  5. 5.A clock shows 6:31. What time will it show 164 minutes later? (a) 10:15 (b) 9:15 (c) 9:25 (d) 9:05
  6. 6.How many degrees does the minute hand of a clock turn in 30 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  9. 9.A clock shows 11:17. What time will it show 66 minutes later? (a) 12:23 (b) 12:33 (c) 1:23 (d) 12:13
  10. 10.How many degrees does the minute hand of a clock turn in 17 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 47 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 34 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 142 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  15. 15.A clock shows 8:29. What time will it show 71 minutes later? (a) 9:50 (b) 9:40 (c) 9:30 (d) 10:40
  16. 16.How many degrees does the minute hand of a clock turn in 2 minutes? =
  17. 17.A clock shows 11:48. What time will it show 12 minutes later? (a) 11:50 (b) 12:00 (c) 12:10 (d) 1:00
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 15 minutes? =
  20. 20.A clock shows 4:38. What time will it show 80 minutes later? (a) 6:58 (b) 6:08 (c) 5:58 (d) 5:48
  21. 21.How many degrees does the hour hand of a clock turn in 100 minutes? =
  22. 22.A clock shows 10:32. What time will it show 159 minutes later? (a) 1:11 (b) 2:11 (c) 1:01 (d) 1:21
  23. 23.How many degrees does the hour hand of a clock turn in 147 minutes? =
  24. 24.A clock shows 6:16. What time will it show 141 minutes later? (a) 8:27 (b) 8:37 (c) 9:37 (d) 8:47
  25. 25.How many degrees does the minute hand of a clock turn in 45 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  27. 27.A clock shows 5:28. What time will it show 164 minutes later? (a) 8:12 (b) 8:02 (c) 8:22 (d) 9:12
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 178 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 51 minutes? =
  31. 31.A clock shows 11:28. What time will it show 69 minutes later? (a) 1:37 (b) 12:47 (c) 12:37 (d) 12:27
  32. 32.A clock shows 12:49. What time will it show 142 minutes later? (a) 3:21 (b) 3:01 (c) 3:11 (d) 4:11
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  34. 34.A clock shows 12:04. What time will it show 10 minutes later? (a) 12:24 (b) 12:14 (c) 1:14 (d) 12:04
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  37. 37.A clock shows 4:08. What time will it show 28 minutes later? (a) 4:26 (b) 5:36 (c) 4:36 (d) 4:46
  38. 38.A clock shows 5:07. What time will it show 38 minutes later? (a) 6:45 (b) 5:45 (c) 5:55 (d) 5:35
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =

Answer key

  1. 9:38
  2. 8
  3. 7:31
  4. 4:50
  5. 9:15
  6. 180
  7. 81.5
  8. 25
  9. 12:23
  10. 102
  11. 282
  12. 204
  13. 71
  14. 171
  15. 9:40
  16. 12
  17. 12:00
  18. 168
  19. 7.5
  20. 5:58
  21. 50
  22. 1:11
  23. 73.5
  24. 8:37
  25. 270
  26. 23.5
  27. 8:12
  28. 141
  29. 89
  30. 25.5
  31. 12:37
  32. 3:11
  33. 52
  34. 12:14
  35. 82
  36. 27
  37. 4:36
  38. 5:45
  39. 11.5
  40. 72

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