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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 733 · 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 5:09? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  3. 3.A clock shows 10:46. What time will it show 90 minutes later? (a) 1:16 (b) 12:26 (c) 12:06 (d) 12:16
  4. 4.How many degrees does the hour hand of a clock turn in 166 minutes? =
  5. 5.A clock shows 3:09. What time will it show 18 minutes later? (a) 3:17 (b) 3:27 (c) 3:37 (d) 4:27
  6. 6.A clock shows 5:36. What time will it show 96 minutes later? (a) 8:12 (b) 7:02 (c) 7:12 (d) 7:22
  7. 7.A clock shows 12:42. What time will it show 130 minutes later? (a) 2:42 (b) 3:02 (c) 3:52 (d) 2:52
  8. 8.How many degrees does the hour hand of a clock turn in 122 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 7 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  12. 12.A clock shows 10:53. What time will it show 104 minutes later? (a) 12:47 (b) 1:37 (c) 12:37 (d) 12:27
  13. 13.How many degrees does the hour hand of a clock turn in 15 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 99 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 31 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  18. 18.A clock shows 12:15. What time will it show 38 minutes later? (a) 1:03 (b) 1:53 (c) 12:53 (d) 12:43
  19. 19.A clock shows 8:46. What time will it show 64 minutes later? (a) 10:50 (b) 9:40 (c) 10:00 (d) 9:50
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 24 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 45 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 22 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  25. 25.A clock shows 1:45. What time will it show 143 minutes later? (a) 4:18 (b) 4:08 (c) 5:08 (d) 3:58
  26. 26.A clock shows 8:19. What time will it show 162 minutes later? (a) 11:01 (b) 11:11 (c) 10:51 (d) 12:01
  27. 27.A clock shows 10:41. What time will it show 79 minutes later? (a) 1:00 (b) 11:50 (c) 12:10 (d) 12:00
  28. 28.A clock shows 11:11. What time will it show 169 minutes later? (a) 2:00 (b) 2:10 (c) 3:00 (d) 1:50
  29. 29.A clock shows 1:41. What time will it show 29 minutes later? (a) 3:10 (b) 2:00 (c) 2:10 (d) 2:20
  30. 30.A clock shows 11:25. What time will it show 22 minutes later? (a) 12:47 (b) 11:47 (c) 11:57 (d) 11:37
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  34. 34.A clock shows 4:38. What time will it show 152 minutes later? (a) 7:10 (b) 7:00 (c) 8:10 (d) 7:20
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  36. 36.A clock shows 2:01. What time will it show 55 minutes later? (a) 2:56 (b) 2:46 (c) 3:56 (d) 3:06
  37. 37.How many degrees does the minute hand of a clock turn in 29 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 30 minutes? =
  39. 39.A clock shows 5:11. What time will it show 64 minutes later? (a) 6:25 (b) 7:15 (c) 6:05 (d) 6:15
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =

Answer key

  1. 100.5
  2. 3
  3. 12:16
  4. 83
  5. 3:27
  6. 7:12
  7. 2:52
  8. 61
  9. 42
  10. 114
  11. 16
  12. 12:37
  13. 7.5
  14. 49.5
  15. 186
  16. 166.5
  17. 52
  18. 12:53
  19. 9:50
  20. 11
  21. 144
  22. 270
  23. 132
  24. 64.5
  25. 4:08
  26. 11:01
  27. 12:00
  28. 2:00
  29. 2:10
  30. 11:47
  31. 119
  32. 45.5
  33. 97.5
  34. 7:10
  35. 153
  36. 2:56
  37. 174
  38. 15
  39. 6:15
  40. 71

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