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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 893 · 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 4:07? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  3. 3.A clock shows 6:28. What time will it show 19 minutes later? (a) 6:37 (b) 6:57 (c) 6:47 (d) 7:47
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  5. 5.A clock shows 4:34. What time will it show 108 minutes later? (a) 6:22 (b) 6:12 (c) 6:32 (d) 7:22
  6. 6.A clock shows 12:58. What time will it show 112 minutes later? (a) 3:50 (b) 3:00 (c) 2:40 (d) 2:50
  7. 7.How many degrees does the hour hand of a clock turn in 60 minutes? =
  8. 8.A clock shows 11:02. What time will it show 140 minutes later? (a) 1:32 (b) 1:12 (c) 2:22 (d) 1:22
  9. 9.A clock shows 2:10. What time will it show 160 minutes later? (a) 4:50 (b) 4:40 (c) 5:50 (d) 5:00
  10. 10.How many degrees does the hour hand of a clock turn in 15 minutes? =
  11. 11.A clock shows 9:24. What time will it show 37 minutes later? (a) 10:01 (b) 11:01 (c) 10:11 (d) 9:51
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  14. 14.A clock shows 11:29. What time will it show 146 minutes later? (a) 1:45 (b) 1:55 (c) 2:55 (d) 2:05
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 43 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 42 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  20. 20.A clock shows 7:28. What time will it show 69 minutes later? (a) 9:37 (b) 8:27 (c) 8:37 (d) 8:47
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 85 minutes? =
  23. 23.A clock shows 6:03. What time will it show 85 minutes later? (a) 8:28 (b) 7:38 (c) 7:28 (d) 7:18
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 124 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 15 minutes? =
  27. 27.A clock shows 11:14. What time will it show 142 minutes later? (a) 1:26 (b) 1:36 (c) 1:46 (d) 2:36
  28. 28.A clock shows 3:08. What time will it show 153 minutes later? (a) 5:31 (b) 6:41 (c) 5:41 (d) 5:51
  29. 29.How many degrees does the hour hand of a clock turn in 121 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
  33. 33.A clock shows 6:23. What time will it show 89 minutes later? (a) 7:42 (b) 7:52 (c) 8:02 (d) 8:52
  34. 34.A clock shows 4:29. What time will it show 153 minutes later? (a) 6:52 (b) 7:02 (c) 8:02 (d) 7:12
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  36. 36.A clock shows 4:37. What time will it show 135 minutes later? (a) 7:52 (b) 6:52 (c) 6:42 (d) 7:02
  37. 37.How many degrees does the hour hand of a clock turn in 119 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 160 minutes? =
  40. 40.A clock shows 3:50. What time will it show 115 minutes later? (a) 5:55 (b) 5:35 (c) 6:45 (d) 5:45

Answer key

  1. 81.5
  2. 172.5
  3. 6:47
  4. 136.5
  5. 6:22
  6. 2:50
  7. 30
  8. 1:22
  9. 4:50
  10. 7.5
  11. 10:01
  12. 38.5
  13. 54
  14. 1:55
  15. 109.5
  16. 258
  17. 125
  18. 21
  19. 176.5
  20. 8:37
  21. 29
  22. 42.5
  23. 7:28
  24. 65.5
  25. 62
  26. 90
  27. 1:36
  28. 5:41
  29. 60.5
  30. 157
  31. 40.5
  32. 37.5
  33. 7:52
  34. 7:02
  35. 15.5
  36. 6:52
  37. 59.5
  38. 152
  39. 80
  40. 5:45

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