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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 210 · 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 12:17? (in degrees) =
  2. 2.A clock shows 6:46. What time will it show 154 minutes later? (a) 9:20 (b) 9:30 (c) 9:10 (d) 10:20
  3. 3.How many degrees does the hour hand of a clock turn in 18 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 147 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 179 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 35 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  9. 9.A clock shows 12:46. What time will it show 134 minutes later? (a) 2:50 (b) 3:10 (c) 3:00 (d) 4:00
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 53 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 50 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  19. 19.A clock shows 7:57. What time will it show 62 minutes later? (a) 8:49 (b) 9:09 (c) 8:59 (d) 9:59
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 13 minutes? =
  22. 22.A clock shows 9:13. What time will it show 73 minutes later? (a) 10:26 (b) 11:26 (c) 10:16 (d) 10:36
  23. 23.A clock shows 1:21. What time will it show 86 minutes later? (a) 2:57 (b) 2:37 (c) 3:47 (d) 2:47
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
  25. 25.A clock shows 7:01. What time will it show 54 minutes later? (a) 8:05 (b) 7:45 (c) 7:55 (d) 8:55
  26. 26.How many degrees does the minute hand of a clock turn in 16 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  28. 28.A clock shows 9:12. What time will it show 124 minutes later? (a) 12:16 (b) 11:16 (c) 11:06 (d) 11:26
  29. 29.How many degrees does the hour hand of a clock turn in 138 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 45 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 29 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 58 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 29 minutes? =
  35. 35.A clock shows 6:14. What time will it show 144 minutes later? (a) 8:38 (b) 9:38 (c) 8:48 (d) 8:28
  36. 36.How many degrees does the minute hand of a clock turn in 22 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 111 minutes? =
  38. 38.A clock shows 2:10. What time will it show 78 minutes later? (a) 3:18 (b) 3:38 (c) 4:28 (d) 3:28
  39. 39.A clock shows 4:52. What time will it show 87 minutes later? (a) 7:19 (b) 6:19 (c) 6:29 (d) 6:09
  40. 40.How many degrees does the minute hand of a clock turn in 51 minutes? =

Answer key

  1. 93.5
  2. 9:20
  3. 9
  4. 73.5
  5. 111
  6. 89.5
  7. 210
  8. 116
  9. 3:00
  10. 94
  11. 69
  12. 318
  13. 89
  14. 38.5
  15. 156
  16. 300
  17. 175.5
  18. 21
  19. 8:59
  20. 15
  21. 6.5
  22. 10:26
  23. 2:47
  24. 148.5
  25. 7:55
  26. 96
  27. 14.5
  28. 11:16
  29. 69
  30. 22.5
  31. 14.5
  32. 32
  33. 29
  34. 174
  35. 8:38
  36. 132
  37. 55.5
  38. 3:28
  39. 6:19
  40. 306

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