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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 847 · 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.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 6 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 34 minutes? =
  5. 5.A clock shows 4:17. What time will it show 136 minutes later? (a) 6:33 (b) 6:43 (c) 7:33 (d) 6:23
  6. 6.A clock shows 5:34. What time will it show 40 minutes later? (a) 6:14 (b) 7:14 (c) 6:04 (d) 6:24
  7. 7.How many degrees does the hour hand of a clock turn in 19 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 35 minutes? =
  10. 10.A clock shows 10:50. What time will it show 147 minutes later? (a) 1:17 (b) 1:07 (c) 2:17 (d) 1:27
  11. 11.A clock shows 12:49. What time will it show 122 minutes later? (a) 2:51 (b) 2:41 (c) 3:51 (d) 3:01
  12. 12.A clock shows 11:40. What time will it show 148 minutes later? (a) 2:08 (b) 2:18 (c) 1:58 (d) 3:08
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  14. 14.A clock shows 7:08. What time will it show 29 minutes later? (a) 7:27 (b) 7:47 (c) 8:37 (d) 7:37
  15. 15.A clock shows 8:05. What time will it show 90 minutes later? (a) 10:35 (b) 9:45 (c) 9:35 (d) 9:25
  16. 16.How many degrees does the hour hand of a clock turn in 163 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  18. 18.A clock shows 3:14. What time will it show 127 minutes later? (a) 5:11 (b) 5:31 (c) 5:21 (d) 6:21
  19. 19.How many degrees does the hour hand of a clock turn in 60 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
  21. 21.A clock shows 3:11. What time will it show 35 minutes later? (a) 3:36 (b) 4:46 (c) 3:46 (d) 3:56
  22. 22.A clock shows 5:01. What time will it show 50 minutes later? (a) 6:51 (b) 6:01 (c) 5:41 (d) 5:51
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 143 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 18 minutes? =
  27. 27.A clock shows 12:22. What time will it show 14 minutes later? (a) 1:36 (b) 12:46 (c) 12:36 (d) 12:26
  28. 28.How many degrees does the minute hand of a clock turn in 38 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 31 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  33. 33.A clock shows 9:36. What time will it show 133 minutes later? (a) 11:39 (b) 11:59 (c) 11:49 (d) 12:49
  34. 34.A clock shows 5:43. What time will it show 133 minutes later? (a) 8:06 (b) 7:46 (c) 8:56 (d) 7:56
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 38 minutes? =
  38. 38.A clock shows 12:09. What time will it show 136 minutes later? (a) 2:35 (b) 3:25 (c) 2:15 (d) 2:25
  39. 39.How many degrees does the minute hand of a clock turn in 56 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 127 minutes? =

Answer key

  1. 168
  2. 36
  3. 114.5
  4. 17
  5. 6:33
  6. 6:14
  7. 9.5
  8. 33.5
  9. 17.5
  10. 1:17
  11. 2:51
  12. 2:08
  13. 106.5
  14. 7:37
  15. 9:35
  16. 81.5
  17. 119
  18. 5:21
  19. 30
  20. 41.5
  21. 3:46
  22. 5:51
  23. 83.5
  24. 71.5
  25. 153
  26. 108
  27. 12:36
  28. 228
  29. 101.5
  30. 162
  31. 186
  32. 26
  33. 11:49
  34. 7:56
  35. 131.5
  36. 38.5
  37. 19
  38. 2:25
  39. 336
  40. 63.5

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