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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 967 · 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 hour hand of a clock turn in 180 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 106 minutes? =
  3. 3.A clock shows 12:10. What time will it show 122 minutes later? (a) 2:02 (b) 3:12 (c) 2:22 (d) 2:12
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 7 minutes? =
  6. 6.A clock shows 2:57. What time will it show 52 minutes later? (a) 3:49 (b) 3:39 (c) 3:59 (d) 4:49
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 64 minutes? =
  10. 10.A clock shows 2:31. What time will it show 112 minutes later? (a) 4:33 (b) 4:13 (c) 4:23 (d) 5:23
  11. 11.How many degrees does the minute hand of a clock turn in 57 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 36 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 31 minutes? =
  14. 14.A clock shows 10:12. What time will it show 12 minutes later? (a) 10:24 (b) 10:34 (c) 11:24 (d) 10:14
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  17. 17.A clock shows 1:20. What time will it show 51 minutes later? (a) 2:01 (b) 3:11 (c) 2:21 (d) 2:11
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 84 minutes? =
  20. 20.A clock shows 9:43. What time will it show 30 minutes later? (a) 10:03 (b) 11:13 (c) 10:23 (d) 10:13
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 75 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 53 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  27. 27.A clock shows 3:43. What time will it show 121 minutes later? (a) 5:54 (b) 6:44 (c) 5:44 (d) 5:34
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 146 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 39 minutes? =
  31. 31.A clock shows 5:08. What time will it show 122 minutes later? (a) 7:20 (b) 7:00 (c) 7:10 (d) 8:10
  32. 32.How many degrees does the minute hand of a clock turn in 40 minutes? =
  33. 33.A clock shows 2:38. What time will it show 22 minutes later? (a) 4:00 (b) 3:00 (c) 2:50 (d) 3:10
  34. 34.How many degrees does the hour hand of a clock turn in 120 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 20 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  37. 37.A clock shows 5:50. What time will it show 110 minutes later? (a) 7:30 (b) 8:40 (c) 7:50 (d) 7:40
  38. 38.A clock shows 11:45. What time will it show 18 minutes later? (a) 11:53 (b) 12:03 (c) 1:03 (d) 12:13
  39. 39.A clock shows 8:21. What time will it show 13 minutes later? (a) 9:34 (b) 8:44 (c) 8:34 (d) 8:24
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =

Answer key

  1. 90
  2. 53
  3. 2:12
  4. 179.5
  5. 42
  6. 3:49
  7. 28.5
  8. 178.5
  9. 32
  10. 4:23
  11. 342
  12. 18
  13. 186
  14. 10:24
  15. 128.5
  16. 128
  17. 2:11
  18. 72.5
  19. 42
  20. 10:13
  21. 125.5
  22. 13.5
  23. 37.5
  24. 100.5
  25. 318
  26. 120
  27. 5:44
  28. 114.5
  29. 73
  30. 234
  31. 7:10
  32. 240
  33. 3:00
  34. 60
  35. 120
  36. 114.5
  37. 7:40
  38. 12:03
  39. 8:34
  40. 61

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