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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 925 · 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.A clock shows 3:54. What time will it show 118 minutes later? (a) 5:42 (b) 5:52 (c) 6:02 (d) 6:52
  2. 2.A clock shows 11:12. What time will it show 121 minutes later? (a) 1:23 (b) 2:13 (c) 1:13 (d) 1:03
  3. 3.A clock shows 2:40. What time will it show 108 minutes later? (a) 4:28 (b) 4:18 (c) 5:28 (d) 4:38
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  5. 5.A clock shows 1:43. What time will it show 90 minutes later? (a) 3:23 (b) 3:03 (c) 3:13 (d) 4:13
  6. 6.A clock shows 3:11. What time will it show 165 minutes later? (a) 6:06 (b) 5:46 (c) 6:56 (d) 5:56
  7. 7.A clock shows 8:30. What time will it show 82 minutes later? (a) 10:52 (b) 9:42 (c) 9:52 (d) 10:02
  8. 8.How many degrees does the minute hand of a clock turn in 13 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 22 minutes? =
  10. 10.A clock shows 3:20. What time will it show 154 minutes later? (a) 5:44 (b) 5:54 (c) 6:54 (d) 6:04
  11. 11.A clock shows 8:24. What time will it show 167 minutes later? (a) 11:21 (b) 11:01 (c) 12:11 (d) 11:11
  12. 12.How many degrees does the minute hand of a clock turn in 51 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  14. 14.A clock shows 6:28. What time will it show 30 minutes later? (a) 6:48 (b) 7:08 (c) 7:58 (d) 6:58
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  16. 16.A clock shows 2:14. What time will it show 35 minutes later? (a) 2:59 (b) 3:49 (c) 2:39 (d) 2:49
  17. 17.A clock shows 1:27. What time will it show 32 minutes later? (a) 1:59 (b) 2:59 (c) 1:49 (d) 2:09
  18. 18.How many degrees does the hour hand of a clock turn in 105 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  20. 20.A clock shows 9:57. What time will it show 26 minutes later? (a) 10:33 (b) 11:23 (c) 10:13 (d) 10:23
  21. 21.How many degrees does the hour hand of a clock turn in 16 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 177 minutes? =
  23. 23.A clock shows 3:54. What time will it show 100 minutes later? (a) 5:44 (b) 6:34 (c) 5:34 (d) 5:24
  24. 24.How many degrees does the hour hand of a clock turn in 104 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 126 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 87 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 19 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 56 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 37 minutes? =
  30. 30.A clock shows 5:45. What time will it show 66 minutes later? (a) 6:41 (b) 6:51 (c) 7:51 (d) 7:01
  31. 31.How many degrees does the hour hand of a clock turn in 30 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 146 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 50 minutes? =
  35. 35.A clock shows 9:09. What time will it show 26 minutes later? (a) 9:25 (b) 10:35 (c) 9:35 (d) 9:45
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  38. 38.A clock shows 2:09. What time will it show 98 minutes later? (a) 3:57 (b) 4:47 (c) 3:47 (d) 3:37
  39. 39.How many degrees does the minute hand of a clock turn in 29 minutes? =
  40. 40.A clock shows 1:45. What time will it show 119 minutes later? (a) 3:44 (b) 4:44 (c) 3:34 (d) 3:54

Answer key

  1. 5:52
  2. 1:13
  3. 4:28
  4. 133
  5. 3:13
  6. 5:56
  7. 9:52
  8. 78
  9. 132
  10. 5:54
  11. 11:11
  12. 306
  13. 94.5
  14. 6:58
  15. 177.5
  16. 2:49
  17. 1:59
  18. 52.5
  19. 67
  20. 10:23
  21. 8
  22. 88.5
  23. 5:34
  24. 52
  25. 63
  26. 43.5
  27. 114
  28. 336
  29. 222
  30. 6:51
  31. 15
  32. 26
  33. 73
  34. 25
  35. 9:35
  36. 95.5
  37. 141
  38. 3:47
  39. 174
  40. 3:44

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