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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 880 · 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 13 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 78 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  4. 4.A clock shows 3:14. What time will it show 19 minutes later? (a) 4:33 (b) 3:33 (c) 3:23 (d) 3:43
  5. 5.A clock shows 5:40. What time will it show 73 minutes later? (a) 6:43 (b) 6:53 (c) 7:53 (d) 7:03
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  7. 7.A clock shows 8:23. What time will it show 117 minutes later? (a) 11:20 (b) 10:30 (c) 10:20 (d) 10:10
  8. 8.A clock shows 11:00. What time will it show 72 minutes later? (a) 12:12 (b) 1:12 (c) 12:22 (d) 12:02
  9. 9.A clock shows 1:23. What time will it show 60 minutes later? (a) 2:13 (b) 2:23 (c) 2:33 (d) 3:23
  10. 10.How many degrees does the minute hand of a clock turn in 5 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  12. 12.A clock shows 3:21. What time will it show 63 minutes later? (a) 4:34 (b) 4:14 (c) 4:24 (d) 5:24
  13. 13.A clock shows 1:06. What time will it show 60 minutes later? (a) 3:06 (b) 2:06 (c) 2:16 (d) 1:56
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  16. 16.A clock shows 12:15. What time will it show 145 minutes later? (a) 2:40 (b) 3:40 (c) 2:50 (d) 2:30
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 56 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  20. 20.A clock shows 4:45. What time will it show 104 minutes later? (a) 7:29 (b) 6:19 (c) 6:29 (d) 6:39
  21. 21.How many degrees does the hour hand of a clock turn in 54 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 45 minutes? =
  24. 24.A clock shows 9:37. What time will it show 158 minutes later? (a) 12:25 (b) 1:15 (c) 12:05 (d) 12:15
  25. 25.How many degrees does the hour hand of a clock turn in 34 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 18 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 21 minutes? =
  30. 30.A clock shows 5:22. What time will it show 85 minutes later? (a) 6:57 (b) 6:37 (c) 7:47 (d) 6:47
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 79 minutes? =
  33. 33.A clock shows 10:11. What time will it show 146 minutes later? (a) 12:27 (b) 12:37 (c) 12:47 (d) 1:37
  34. 34.A clock shows 6:38. What time will it show 46 minutes later? (a) 8:24 (b) 7:34 (c) 7:24 (d) 7:14
  35. 35.How many degrees does the minute hand of a clock turn in 46 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  39. 39.A clock shows 10:14. What time will it show 12 minutes later? (a) 11:26 (b) 10:16 (c) 10:26 (d) 10:36
  40. 40.How many degrees does the hour hand of a clock turn in 91 minutes? =

Answer key

  1. 78
  2. 39
  3. 127.5
  4. 3:33
  5. 6:53
  6. 65.5
  7. 10:20
  8. 12:12
  9. 2:23
  10. 30
  11. 50.5
  12. 4:24
  13. 2:06
  14. 108
  15. 129
  16. 2:40
  17. 15
  18. 336
  19. 15.5
  20. 6:29
  21. 27
  22. 95.5
  23. 270
  24. 12:15
  25. 17
  26. 108
  27. 54
  28. 112
  29. 126
  30. 6:47
  31. 77
  32. 39.5
  33. 12:37
  34. 7:24
  35. 276
  36. 18.5
  37. 68
  38. 18
  39. 10:26
  40. 45.5

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