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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 810 · 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 25 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 20 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 21 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 71 minutes? =
  5. 5.A clock shows 12:51. What time will it show 51 minutes later? (a) 1:52 (b) 2:42 (c) 1:42 (d) 1:32
  6. 6.How many degrees does the hour hand of a clock turn in 141 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  9. 9.A clock shows 6:07. What time will it show 140 minutes later? (a) 9:27 (b) 8:27 (c) 8:17 (d) 8:37
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 106 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  13. 13.A clock shows 4:22. What time will it show 139 minutes later? (a) 6:41 (b) 6:51 (c) 7:41 (d) 6:31
  14. 14.How many degrees does the minute hand of a clock turn in 50 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 17 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 2 minutes? =
  18. 18.A clock shows 3:45. What time will it show 36 minutes later? (a) 4:11 (b) 4:21 (c) 4:31 (d) 5:21
  19. 19.How many degrees does the hour hand of a clock turn in 43 minutes? =
  20. 20.A clock shows 8:25. What time will it show 11 minutes later? (a) 8:36 (b) 9:36 (c) 8:46 (d) 8:26
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 8 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 138 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  27. 27.A clock shows 7:48. What time will it show 84 minutes later? (a) 10:12 (b) 9:22 (c) 9:12 (d) 9:02
  28. 28.How many degrees does the minute hand of a clock turn in 38 minutes? =
  29. 29.A clock shows 7:15. What time will it show 35 minutes later? (a) 8:00 (b) 8:50 (c) 7:40 (d) 7:50
  30. 30.A clock shows 4:42. What time will it show 68 minutes later? (a) 6:50 (b) 5:40 (c) 5:50 (d) 6:00
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  33. 33.A clock shows 3:26. What time will it show 134 minutes later? (a) 5:30 (b) 5:40 (c) 6:40 (d) 5:50
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  35. 35.A clock shows 10:25. What time will it show 13 minutes later? (a) 10:38 (b) 11:38 (c) 10:48 (d) 10:28
  36. 36.A clock shows 2:03. What time will it show 35 minutes later? (a) 2:28 (b) 2:38 (c) 2:48 (d) 3:38
  37. 37.A clock shows 5:00. What time will it show 39 minutes later? (a) 5:49 (b) 6:39 (c) 5:29 (d) 5:39
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 180 minutes? =
  40. 40.A clock shows 5:05. What time will it show 24 minutes later? (a) 5:29 (b) 5:19 (c) 6:29 (d) 5:39

Answer key

  1. 150
  2. 10
  3. 126
  4. 35.5
  5. 1:42
  6. 70.5
  7. 157
  8. 8.5
  9. 8:27
  10. 85
  11. 53
  12. 50
  13. 6:41
  14. 300
  15. 13.5
  16. 102
  17. 12
  18. 4:21
  19. 21.5
  20. 8:36
  21. 60
  22. 48
  23. 58.5
  24. 69
  25. 163
  26. 76
  27. 9:12
  28. 228
  29. 7:50
  30. 5:50
  31. 44.5
  32. 140
  33. 5:40
  34. 120
  35. 10:38
  36. 2:38
  37. 5:39
  38. 44.5
  39. 90
  40. 5:29

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