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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 864 · 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 9:17? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 33 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  5. 5.A clock shows 4:50. What time will it show 155 minutes later? (a) 7:15 (b) 7:25 (c) 7:35 (d) 8:25
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:44? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  8. 8.A clock shows 1:16. What time will it show 47 minutes later? (a) 2:13 (b) 1:53 (c) 3:03 (d) 2:03
  9. 9.How many degrees does the minute hand of a clock turn in 54 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  11. 11.A clock shows 6:56. What time will it show 152 minutes later? (a) 10:28 (b) 9:18 (c) 9:28 (d) 9:38
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 36 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 104 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  17. 17.A clock shows 2:59. What time will it show 101 minutes later? (a) 4:50 (b) 4:30 (c) 4:40 (d) 5:40
  18. 18.How many degrees does the minute hand of a clock turn in 21 minutes? =
  19. 19.A clock shows 4:50. What time will it show 66 minutes later? (a) 5:46 (b) 5:56 (c) 6:06 (d) 6:56
  20. 20.A clock shows 6:14. What time will it show 19 minutes later? (a) 6:43 (b) 6:33 (c) 6:23 (d) 7:33
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  22. 22.A clock shows 5:04. What time will it show 25 minutes later? (a) 6:29 (b) 5:29 (c) 5:19 (d) 5:39
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 144 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 115 minutes? =
  26. 26.A clock shows 5:27. What time will it show 91 minutes later? (a) 7:08 (b) 6:48 (c) 6:58 (d) 7:58
  27. 27.How many degrees does the minute hand of a clock turn in 30 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 26 minutes? =
  29. 29.A clock shows 10:20. What time will it show 52 minutes later? (a) 11:02 (b) 11:22 (c) 12:12 (d) 11:12
  30. 30.A clock shows 8:28. What time will it show 157 minutes later? (a) 11:05 (b) 11:15 (c) 10:55 (d) 12:05
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 45 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 3 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 23 minutes? =
  37. 37.A clock shows 5:19. What time will it show 90 minutes later? (a) 7:49 (b) 6:39 (c) 6:49 (d) 6:59
  38. 38.A clock shows 4:26. What time will it show 24 minutes later? (a) 4:50 (b) 5:50 (c) 4:40 (d) 5:00
  39. 39.A clock shows 2:09. What time will it show 28 minutes later? (a) 2:27 (b) 3:37 (c) 2:37 (d) 2:47
  40. 40.A clock shows 4:35. What time will it show 107 minutes later? (a) 6:22 (b) 6:32 (c) 6:12 (d) 7:22

Answer key

  1. 176.5
  2. 81.5
  3. 198
  4. 94
  5. 7:25
  6. 62
  7. 90
  8. 2:03
  9. 324
  10. 23.5
  11. 9:28
  12. 113.5
  13. 18
  14. 177.5
  15. 52
  16. 119.5
  17. 4:40
  18. 126
  19. 5:56
  20. 6:33
  21. 141
  22. 5:29
  23. 81.5
  24. 72
  25. 57.5
  26. 6:58
  27. 180
  28. 156
  29. 11:12
  30. 11:05
  31. 91.5
  32. 270
  33. 18
  34. 85
  35. 164
  36. 138
  37. 6:49
  38. 4:50
  39. 2:37
  40. 6:22

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