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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 544 · 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 57 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 44 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 116 minutes? =
  4. 4.A clock shows 3:48. What time will it show 84 minutes later? (a) 5:12 (b) 6:12 (c) 5:02 (d) 5:22
  5. 5.A clock shows 3:01. What time will it show 55 minutes later? (a) 4:56 (b) 4:06 (c) 3:56 (d) 3:46
  6. 6.A clock shows 1:02. What time will it show 44 minutes later? (a) 1:56 (b) 2:46 (c) 1:36 (d) 1:46
  7. 7.A clock shows 3:43. What time will it show 136 minutes later? (a) 5:59 (b) 6:09 (c) 5:49 (d) 6:59
  8. 8.How many degrees does the hour hand of a clock turn in 52 minutes? =
  9. 9.A clock shows 6:58. What time will it show 28 minutes later? (a) 7:16 (b) 7:36 (c) 8:26 (d) 7:26
  10. 10.How many degrees does the hour hand of a clock turn in 164 minutes? =
  11. 11.A clock shows 4:12. What time will it show 82 minutes later? (a) 5:24 (b) 5:44 (c) 6:34 (d) 5:34
  12. 12.How many degrees does the minute hand of a clock turn in 28 minutes? =
  13. 13.A clock shows 8:22. What time will it show 54 minutes later? (a) 9:26 (b) 10:16 (c) 9:06 (d) 9:16
  14. 14.A clock shows 2:03. What time will it show 21 minutes later? (a) 3:24 (b) 2:34 (c) 2:14 (d) 2:24
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  16. 16.A clock shows 5:07. What time will it show 106 minutes later? (a) 6:53 (b) 6:43 (c) 7:53 (d) 7:03
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 17 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  22. 22.A clock shows 4:27. What time will it show 63 minutes later? (a) 5:20 (b) 5:40 (c) 5:30 (d) 6:30
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 29 minutes? =
  28. 28.A clock shows 4:13. What time will it show 75 minutes later? (a) 5:18 (b) 5:28 (c) 6:28 (d) 5:38
  29. 29.A clock shows 4:20. What time will it show 22 minutes later? (a) 4:32 (b) 4:52 (c) 5:42 (d) 4:42
  30. 30.A clock shows 4:55. What time will it show 111 minutes later? (a) 6:36 (b) 7:46 (c) 6:56 (d) 6:46
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  33. 33.A clock shows 3:16. What time will it show 100 minutes later? (a) 4:56 (b) 5:06 (c) 4:46 (d) 5:56
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 12 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 9 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 23 minutes? =

Answer key

  1. 28.5
  2. 264
  3. 58
  4. 5:12
  5. 3:56
  6. 1:46
  7. 5:59
  8. 26
  9. 7:26
  10. 82
  11. 5:34
  12. 168
  13. 9:16
  14. 2:24
  15. 72.5
  16. 6:53
  17. 169.5
  18. 143
  19. 86
  20. 8.5
  21. 56.5
  22. 5:30
  23. 14
  24. 32.5
  25. 6.5
  26. 111
  27. 14.5
  28. 5:28
  29. 4:42
  30. 6:46
  31. 45.5
  32. 112.5
  33. 4:56
  34. 130.5
  35. 97
  36. 147
  37. 72
  38. 54
  39. 71.5
  40. 138

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