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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 478 · 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 7:54. What time will it show 147 minutes later? (a) 10:11 (b) 10:21 (c) 11:21 (d) 10:31
  2. 2.How many degrees does the minute hand of a clock turn in 36 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 59 minutes? =
  8. 8.A clock shows 10:15. What time will it show 17 minutes later? (a) 11:32 (b) 10:32 (c) 10:22 (d) 10:42
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 68 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 55 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 50 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  19. 19.A clock shows 8:02. What time will it show 58 minutes later? (a) 10:00 (b) 8:50 (c) 9:10 (d) 9:00
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  24. 24.A clock shows 6:03. What time will it show 164 minutes later? (a) 8:57 (b) 8:37 (c) 9:47 (d) 8:47
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  26. 26.A clock shows 11:06. What time will it show 146 minutes later? (a) 2:32 (b) 1:32 (c) 1:42 (d) 1:22
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 138 minutes? =
  29. 29.A clock shows 8:09. What time will it show 52 minutes later? (a) 9:11 (b) 10:01 (c) 8:51 (d) 9:01
  30. 30.How many degrees does the minute hand of a clock turn in 34 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  32. 32.A clock shows 11:06. What time will it show 38 minutes later? (a) 11:44 (b) 11:54 (c) 11:34 (d) 12:44
  33. 33.How many degrees does the minute hand of a clock turn in 12 minutes? =
  34. 34.A clock shows 9:17. What time will it show 133 minutes later? (a) 12:30 (b) 11:30 (c) 11:40 (d) 11:20
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 31 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 80 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 29 minutes? =
  39. 39.A clock shows 6:50. What time will it show 168 minutes later? (a) 9:38 (b) 10:38 (c) 9:48 (d) 9:28
  40. 40.A clock shows 2:34. What time will it show 163 minutes later? (a) 6:17 (b) 5:17 (c) 5:07 (d) 5:27

Answer key

  1. 10:21
  2. 216
  3. 48.5
  4. 58.5
  5. 17
  6. 7.5
  7. 354
  8. 10:32
  9. 101
  10. 76
  11. 34
  12. 156
  13. 88
  14. 154
  15. 330
  16. 300
  17. 161.5
  18. 58
  19. 9:00
  20. 154.5
  21. 102
  22. 26.5
  23. 114.5
  24. 8:47
  25. 91.5
  26. 1:32
  27. 140
  28. 69
  29. 9:01
  30. 204
  31. 43
  32. 11:44
  33. 72
  34. 11:30
  35. 112.5
  36. 186
  37. 40
  38. 174
  39. 9:38
  40. 5:17

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