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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 817 · 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 7 minutes? =
  2. 2.A clock shows 4:17. What time will it show 151 minutes later? (a) 7:48 (b) 6:38 (c) 6:48 (d) 6:58
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  4. 4.A clock shows 5:48. What time will it show 20 minutes later? (a) 7:08 (b) 5:58 (c) 6:18 (d) 6:08
  5. 5.A clock shows 8:12. What time will it show 46 minutes later? (a) 9:58 (b) 8:58 (c) 9:08 (d) 8:48
  6. 6.How many degrees does the hour hand of a clock turn in 168 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  8. 8.A clock shows 3:21. What time will it show 35 minutes later? (a) 4:06 (b) 3:46 (c) 4:56 (d) 3:56
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  11. 11.A clock shows 2:04. What time will it show 41 minutes later? (a) 2:55 (b) 3:45 (c) 2:35 (d) 2:45
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 43 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 155 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  17. 17.A clock shows 6:23. What time will it show 137 minutes later? (a) 9:40 (b) 8:30 (c) 8:50 (d) 8:40
  18. 18.A clock shows 3:51. What time will it show 111 minutes later? (a) 6:42 (b) 5:32 (c) 5:52 (d) 5:42
  19. 19.A clock shows 8:29. What time will it show 159 minutes later? (a) 10:58 (b) 11:08 (c) 12:08 (d) 11:18
  20. 20.A clock shows 2:09. What time will it show 23 minutes later? (a) 3:32 (b) 2:32 (c) 2:22 (d) 2:42
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  22. 22.A clock shows 5:23. What time will it show 39 minutes later? (a) 6:02 (b) 6:12 (c) 7:02 (d) 5:52
  23. 23.How many degrees does the minute hand of a clock turn in 6 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 124 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  31. 31.A clock shows 10:03. What time will it show 170 minutes later? (a) 12:43 (b) 1:53 (c) 12:53 (d) 1:03
  32. 32.A clock shows 6:57. What time will it show 53 minutes later? (a) 7:40 (b) 8:50 (c) 7:50 (d) 8:00
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 59 minutes? =
  35. 35.A clock shows 3:27. What time will it show 118 minutes later? (a) 5:15 (b) 5:25 (c) 5:35 (d) 6:25
  36. 36.A clock shows 5:32. What time will it show 54 minutes later? (a) 6:26 (b) 6:16 (c) 6:36 (d) 7:26
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 157 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  40. 40.A clock shows 4:16. What time will it show 77 minutes later? (a) 5:43 (b) 5:33 (c) 6:33 (d) 5:23

Answer key

  1. 42
  2. 6:48
  3. 23.5
  4. 6:08
  5. 8:58
  6. 84
  7. 81.5
  8. 3:56
  9. 68.5
  10. 118
  11. 2:45
  12. 34
  13. 258
  14. 77.5
  15. 33.5
  16. 89.5
  17. 8:40
  18. 5:42
  19. 11:08
  20. 2:32
  21. 177.5
  22. 6:02
  23. 36
  24. 58
  25. 34
  26. 62
  27. 9
  28. 75.5
  29. 100
  30. 29.5
  31. 12:53
  32. 7:50
  33. 125.5
  34. 354
  35. 5:25
  36. 6:26
  37. 18
  38. 78.5
  39. 30
  40. 5:33

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