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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 793 · 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 hour hand of a clock turn in 43 minutes? =
  2. 2.A clock shows 7:25. What time will it show 162 minutes later? (a) 10:07 (b) 11:07 (c) 9:57 (d) 10:17
  3. 3.How many degrees does the minute hand of a clock turn in 21 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  6. 6.A clock shows 6:15. What time will it show 113 minutes later? (a) 7:58 (b) 8:18 (c) 8:08 (d) 9:08
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 30 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  14. 14.A clock shows 1:28. What time will it show 121 minutes later? (a) 4:29 (b) 3:19 (c) 3:39 (d) 3:29
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  16. 16.A clock shows 7:44. What time will it show 71 minutes later? (a) 8:45 (b) 9:05 (c) 9:55 (d) 8:55
  17. 17.A clock shows 8:35. What time will it show 31 minutes later? (a) 10:06 (b) 9:16 (c) 8:56 (d) 9:06
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  19. 19.A clock shows 5:03. What time will it show 21 minutes later? (a) 5:34 (b) 6:24 (c) 5:24 (d) 5:14
  20. 20.How many degrees does the minute hand of a clock turn in 16 minutes? =
  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 minute hand of a clock turn in 36 minutes? =
  23. 23.A clock shows 5:07. What time will it show 69 minutes later? (a) 7:16 (b) 6:26 (c) 6:16 (d) 6:06
  24. 24.A clock shows 4:27. What time will it show 70 minutes later? (a) 6:37 (b) 5:27 (c) 5:47 (d) 5:37
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 24 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 58 minutes? =
  29. 29.A clock shows 2:53. What time will it show 28 minutes later? (a) 3:11 (b) 3:31 (c) 4:21 (d) 3:21
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 177 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 38 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 140 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  38. 38.A clock shows 4:35. What time will it show 46 minutes later? (a) 6:21 (b) 5:21 (c) 5:11 (d) 5:31
  39. 39.How many degrees does the hour hand of a clock turn in 175 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =

Answer key

  1. 21.5
  2. 10:07
  3. 126
  4. 55
  5. 69.5
  6. 8:08
  7. 103.5
  8. 2
  9. 45.5
  10. 168.5
  11. 174.5
  12. 15
  13. 111.5
  14. 3:29
  15. 112
  16. 8:55
  17. 9:06
  18. 119
  19. 5:24
  20. 96
  21. 29
  22. 216
  23. 6:16
  24. 5:37
  25. 175
  26. 12
  27. 21
  28. 348
  29. 3:21
  30. 127
  31. 88.5
  32. 19
  33. 78
  34. 138.5
  35. 92.5
  36. 70
  37. 46
  38. 5:21
  39. 87.5
  40. 129.5

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