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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 275 · 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 164 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 29 minutes? =
  6. 6.A clock shows 3:06. What time will it show 125 minutes later? (a) 6:11 (b) 5:11 (c) 5:21 (d) 5:01
  7. 7.A clock shows 11:25. What time will it show 75 minutes later? (a) 12:30 (b) 12:50 (c) 1:40 (d) 12:40
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  9. 9.A clock shows 2:18. What time will it show 61 minutes later? (a) 4:19 (b) 3:29 (c) 3:19 (d) 3:09
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  14. 14.A clock shows 4:01. What time will it show 84 minutes later? (a) 6:25 (b) 5:15 (c) 5:25 (d) 5:35
  15. 15.A clock shows 1:37. What time will it show 148 minutes later? (a) 5:05 (b) 4:15 (c) 4:05 (d) 3:55
  16. 16.A clock shows 8:29. What time will it show 97 minutes later? (a) 10:06 (b) 9:56 (c) 10:16 (d) 11:06
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 147 minutes? =
  19. 19.A clock shows 11:59. What time will it show 29 minutes later? (a) 12:18 (b) 12:28 (c) 1:28 (d) 12:38
  20. 20.How many degrees does the minute hand of a clock turn in 4 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  22. 22.A clock shows 2:02. What time will it show 108 minutes later? (a) 4:50 (b) 3:40 (c) 4:00 (d) 3:50
  23. 23.How many degrees does the minute hand of a clock turn in 8 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 115 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 36 minutes? =
  28. 28.A clock shows 9:59. What time will it show 52 minutes later? (a) 10:51 (b) 11:01 (c) 10:41 (d) 11:51
  29. 29.A clock shows 4:11. What time will it show 137 minutes later? (a) 7:28 (b) 6:38 (c) 6:28 (d) 6:18
  30. 30.How many degrees does the hour hand of a clock turn in 171 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 108 minutes? =
  34. 34.A clock shows 1:40. What time will it show 106 minutes later? (a) 4:26 (b) 3:36 (c) 3:26 (d) 3:16
  35. 35.A clock shows 4:25. What time will it show 84 minutes later? (a) 5:59 (b) 5:39 (c) 6:49 (d) 5:49
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  37. 37.A clock shows 1:56. What time will it show 62 minutes later? (a) 3:58 (b) 2:48 (c) 3:08 (d) 2:58
  38. 38.How many degrees does the hour hand of a clock turn in 84 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =

Answer key

  1. 82
  2. 26
  3. 37
  4. 132.5
  5. 174
  6. 5:11
  7. 12:40
  8. 149
  9. 3:19
  10. 109
  11. 160
  12. 1.5
  13. 15.5
  14. 5:25
  15. 4:05
  16. 10:06
  17. 24.5
  18. 73.5
  19. 12:28
  20. 24
  21. 85
  22. 3:50
  23. 48
  24. 40
  25. 87.5
  26. 57.5
  27. 216
  28. 10:51
  29. 6:28
  30. 85.5
  31. 30.5
  32. 156
  33. 54
  34. 3:26
  35. 5:49
  36. 54
  37. 2:58
  38. 42
  39. 156.5
  40. 147

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