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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 357 · 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 8:40? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 102 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 19 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 39 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  10. 10.A clock shows 2:12. What time will it show 140 minutes later? (a) 4:42 (b) 5:32 (c) 4:32 (d) 4:22
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  12. 12.A clock shows 4:13. What time will it show 47 minutes later? (a) 5:10 (b) 5:00 (c) 6:00 (d) 4:50
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  15. 15.A clock shows 8:47. What time will it show 73 minutes later? (a) 9:50 (b) 10:10 (c) 10:00 (d) 11:00
  16. 16.A clock shows 11:27. What time will it show 118 minutes later? (a) 1:25 (b) 1:15 (c) 2:25 (d) 1:35
  17. 17.How many degrees does the minute hand of a clock turn in 19 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 28 minutes? =
  21. 21.A clock shows 1:32. What time will it show 148 minutes later? (a) 4:00 (b) 5:00 (c) 4:10 (d) 3:50
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  23. 23.A clock shows 7:01. What time will it show 97 minutes later? (a) 9:38 (b) 8:28 (c) 8:48 (d) 8:38
  24. 24.How many degrees does the minute hand of a clock turn in 54 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 167 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 11 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 23 minutes? =
  30. 30.A clock shows 4:06. What time will it show 83 minutes later? (a) 5:29 (b) 6:29 (c) 5:39 (d) 5:19
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  34. 34.A clock shows 9:12. What time will it show 156 minutes later? (a) 12:48 (b) 11:38 (c) 11:58 (d) 11:48
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  37. 37.A clock shows 4:20. What time will it show 47 minutes later? (a) 6:07 (b) 5:07 (c) 5:17 (d) 4:57
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  39. 39.A clock shows 7:20. What time will it show 155 minutes later? (a) 9:45 (b) 10:55 (c) 9:55 (d) 10:05
  40. 40.A clock shows 8:13. What time will it show 112 minutes later? (a) 9:55 (b) 10:05 (c) 11:05 (d) 10:15

Answer key

  1. 20
  2. 110
  3. 169
  4. 51
  5. 21.5
  6. 9.5
  7. 234
  8. 177
  9. 47.5
  10. 4:32
  11. 117.5
  12. 5:00
  13. 64.5
  14. 99
  15. 10:00
  16. 1:25
  17. 114
  18. 132.5
  19. 22
  20. 14
  21. 4:00
  22. 89
  23. 8:38
  24. 324
  25. 83.5
  26. 5.5
  27. 124
  28. 30
  29. 138
  30. 5:29
  31. 151.5
  32. 53.5
  33. 119
  34. 11:48
  35. 130.5
  36. 62
  37. 5:07
  38. 36.5
  39. 9:55
  40. 10:05

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