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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 75 · 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 minute hand of a clock turn in 29 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  3. 3.A clock shows 12:50. What time will it show 135 minutes later? (a) 3:15 (b) 3:05 (c) 2:55 (d) 4:05
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  6. 6.A clock shows 3:47. What time will it show 56 minutes later? (a) 5:43 (b) 4:53 (c) 4:43 (d) 4:33
  7. 7.How many degrees does the hour hand of a clock turn in 180 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 23 minutes? =
  12. 12.A clock shows 1:51. What time will it show 10 minutes later? (a) 1:51 (b) 2:11 (c) 3:01 (d) 2:01
  13. 13.A clock shows 2:12. What time will it show 121 minutes later? (a) 5:13 (b) 4:23 (c) 4:03 (d) 4:13
  14. 14.A clock shows 3:13. What time will it show 12 minutes later? (a) 3:25 (b) 4:25 (c) 3:35 (d) 3:15
  15. 15.A clock shows 1:44. What time will it show 81 minutes later? (a) 2:55 (b) 4:05 (c) 3:05 (d) 3:15
  16. 16.A clock shows 9:29. What time will it show 160 minutes later? (a) 11:59 (b) 1:09 (c) 12:09 (d) 12:19
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  18. 18.A clock shows 4:29. What time will it show 126 minutes later? (a) 6:35 (b) 7:35 (c) 6:25 (d) 6:45
  19. 19.A clock shows 9:48. What time will it show 55 minutes later? (a) 11:43 (b) 10:33 (c) 10:53 (d) 10:43
  20. 20.How many degrees does the minute hand of a clock turn in 24 minutes? =
  21. 21.A clock shows 2:42. What time will it show 30 minutes later? (a) 3:02 (b) 3:22 (c) 4:12 (d) 3:12
  22. 22.How many degrees does the hour hand of a clock turn in 54 minutes? =
  23. 23.A clock shows 1:19. What time will it show 142 minutes later? (a) 3:41 (b) 3:51 (c) 4:41 (d) 3:31
  24. 24.How many degrees does the hour hand of a clock turn in 21 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  26. 26.A clock shows 6:32. What time will it show 138 minutes later? (a) 9:50 (b) 8:40 (c) 9:00 (d) 8:50
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  29. 29.A clock shows 4:24. What time will it show 56 minutes later? (a) 5:10 (b) 5:20 (c) 5:30 (d) 6:20
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  32. 32.A clock shows 10:36. What time will it show 153 minutes later? (a) 1:19 (b) 12:59 (c) 2:09 (d) 1:09
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 55 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 16 minutes? =
  36. 36.A clock shows 3:25. What time will it show 142 minutes later? (a) 6:47 (b) 5:37 (c) 5:57 (d) 5:47
  37. 37.A clock shows 1:15. What time will it show 42 minutes later? (a) 1:47 (b) 1:57 (c) 2:07 (d) 2:57
  38. 38.How many degrees does the hour hand of a clock turn in 120 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =

Answer key

  1. 174
  2. 131
  3. 3:05
  4. 123.5
  5. 92
  6. 4:43
  7. 90
  8. 108.5
  9. 138
  10. 47.5
  11. 138
  12. 2:01
  13. 4:13
  14. 3:25
  15. 3:05
  16. 12:09
  17. 20.5
  18. 6:35
  19. 10:43
  20. 144
  21. 3:12
  22. 27
  23. 3:41
  24. 10.5
  25. 24
  26. 8:50
  27. 29
  28. 137.5
  29. 5:20
  30. 28
  31. 38
  32. 1:09
  33. 27
  34. 330
  35. 8
  36. 5:47
  37. 1:57
  38. 60
  39. 29.5
  40. 167.5

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