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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 906 · 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 8:04? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 121 minutes? =
  3. 3.A clock shows 12:21. What time will it show 114 minutes later? (a) 3:15 (b) 2:15 (c) 2:05 (d) 2:25
  4. 4.How many degrees does the hour hand of a clock turn in 158 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 116 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 41 minutes? =
  8. 8.A clock shows 3:49. What time will it show 40 minutes later? (a) 4:29 (b) 4:19 (c) 4:39 (d) 5:29
  9. 9.A clock shows 2:09. What time will it show 154 minutes later? (a) 4:33 (b) 5:43 (c) 4:53 (d) 4:43
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  11. 11.A clock shows 11:16. What time will it show 62 minutes later? (a) 12:08 (b) 1:18 (c) 12:28 (d) 12:18
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 129 minutes? =
  14. 14.A clock shows 6:27. What time will it show 37 minutes later? (a) 7:14 (b) 8:04 (c) 6:54 (d) 7:04
  15. 15.How many degrees does the hour hand of a clock turn in 96 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  17. 17.A clock shows 2:11. What time will it show 93 minutes later? (a) 4:44 (b) 3:44 (c) 3:34 (d) 3:54
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 160 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 95 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 74 minutes? =
  23. 23.A clock shows 2:31. What time will it show 96 minutes later? (a) 3:57 (b) 4:17 (c) 5:07 (d) 4:07
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 105 minutes? =
  27. 27.A clock shows 4:04. What time will it show 20 minutes later? (a) 4:14 (b) 5:24 (c) 4:24 (d) 4:34
  28. 28.A clock shows 3:35. What time will it show 154 minutes later? (a) 5:59 (b) 7:09 (c) 6:09 (d) 6:19
  29. 29.A clock shows 9:55. What time will it show 112 minutes later? (a) 11:47 (b) 11:57 (c) 11:37 (d) 12:47
  30. 30.A clock shows 2:33. What time will it show 115 minutes later? (a) 4:18 (b) 5:28 (c) 4:38 (d) 4:28
  31. 31.A clock shows 9:28. What time will it show 52 minutes later? (a) 10:30 (b) 10:10 (c) 10:20 (d) 11:20
  32. 32.How many degrees does the minute hand of a clock turn in 6 minutes? =
  33. 33.A clock shows 9:03. What time will it show 116 minutes later? (a) 10:59 (b) 10:49 (c) 11:09 (d) 11:59
  34. 34.A clock shows 12:12. What time will it show 98 minutes later? (a) 2:50 (b) 1:50 (c) 2:00 (d) 1:40
  35. 35.How many degrees does the hour hand of a clock turn in 150 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =

Answer key

  1. 142
  2. 60.5
  3. 2:15
  4. 79
  5. 58
  6. 43
  7. 246
  8. 4:29
  9. 4:43
  10. 95
  11. 12:18
  12. 48
  13. 64.5
  14. 7:04
  15. 48
  16. 43.5
  17. 3:44
  18. 97
  19. 80
  20. 31.5
  21. 47.5
  22. 37
  23. 4:07
  24. 81.5
  25. 37
  26. 52.5
  27. 4:24
  28. 6:09
  29. 11:47
  30. 4:28
  31. 10:20
  32. 36
  33. 10:59
  34. 1:50
  35. 75
  36. 111.5
  37. 33.5
  38. 85.5
  39. 6
  40. 39.5

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