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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 927 · 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 136 minutes? =
  2. 2.A clock shows 4:07. What time will it show 66 minutes later? (a) 5:23 (b) 5:13 (c) 5:03 (d) 6:13
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 52 minutes? =
  5. 5.A clock shows 5:16. What time will it show 158 minutes later? (a) 7:54 (b) 7:44 (c) 8:04 (d) 8:54
  6. 6.A clock shows 7:42. What time will it show 121 minutes later? (a) 9:33 (b) 9:53 (c) 9:43 (d) 10:43
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  9. 9.A clock shows 1:10. What time will it show 49 minutes later? (a) 2:59 (b) 2:09 (c) 1:59 (d) 1:49
  10. 10.How many degrees does the hour hand of a clock turn in 165 minutes? =
  11. 11.A clock shows 11:16. What time will it show 101 minutes later? (a) 1:07 (b) 12:57 (c) 1:57 (d) 12:47
  12. 12.How many degrees does the hour hand of a clock turn in 70 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 6 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  20. 20.A clock shows 10:35. What time will it show 86 minutes later? (a) 11:51 (b) 1:01 (c) 12:11 (d) 12:01
  21. 21.A clock shows 11:06. What time will it show 52 minutes later? (a) 12:08 (b) 11:58 (c) 11:48 (d) 12:58
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  23. 23.A clock shows 8:04. What time will it show 146 minutes later? (a) 10:30 (b) 10:20 (c) 10:40 (d) 11:30
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  26. 26.A clock shows 4:17. What time will it show 23 minutes later? (a) 4:30 (b) 4:50 (c) 5:40 (d) 4:40
  27. 27.How many degrees does the hour hand of a clock turn in 99 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  29. 29.A clock shows 12:14. What time will it show 161 minutes later? (a) 3:55 (b) 2:45 (c) 2:55 (d) 3:05
  30. 30.How many degrees does the minute hand of a clock turn in 7 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
  32. 32.A clock shows 4:57. What time will it show 155 minutes later? (a) 7:42 (b) 8:32 (c) 7:22 (d) 7:32
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 179 minutes? =
  35. 35.A clock shows 4:58. What time will it show 26 minutes later? (a) 5:14 (b) 6:24 (c) 5:34 (d) 5:24
  36. 36.A clock shows 6:14. What time will it show 16 minutes later? (a) 7:30 (b) 6:40 (c) 6:30 (d) 6:20
  37. 37.How many degrees does the minute hand of a clock turn in 30 minutes? =
  38. 38.A clock shows 5:53. What time will it show 13 minutes later? (a) 7:06 (b) 6:16 (c) 6:06 (d) 5:56
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  40. 40.A clock shows 2:13. What time will it show 63 minutes later? (a) 3:06 (b) 4:16 (c) 3:26 (d) 3:16

Answer key

  1. 68
  2. 5:13
  3. 63
  4. 312
  5. 7:54
  6. 9:43
  7. 3
  8. 174.5
  9. 1:59
  10. 82.5
  11. 12:57
  12. 35
  13. 161
  14. 145
  15. 45
  16. 147
  17. 22
  18. 36
  19. 3
  20. 12:01
  21. 11:58
  22. 152
  23. 10:30
  24. 169.5
  25. 11.5
  26. 4:40
  27. 49.5
  28. 44.5
  29. 2:55
  30. 42
  31. 159
  32. 7:32
  33. 36
  34. 89.5
  35. 5:24
  36. 6:30
  37. 180
  38. 6:06
  39. 16.5
  40. 3:16

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