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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 546 · 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 minute hand of a clock turn in 5 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  3. 3.A clock shows 2:25. What time will it show 59 minutes later? (a) 3:34 (b) 4:24 (c) 3:14 (d) 3:24
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 130 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 108 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 47 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 51 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  13. 13.A clock shows 11:50. What time will it show 120 minutes later? (a) 2:00 (b) 1:40 (c) 2:50 (d) 1:50
  14. 14.A clock shows 6:26. What time will it show 101 minutes later? (a) 9:07 (b) 8:17 (c) 7:57 (d) 8:07
  15. 15.A clock shows 3:28. What time will it show 42 minutes later? (a) 4:20 (b) 5:10 (c) 4:10 (d) 4:00
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 55 minutes? =
  18. 18.A clock shows 5:26. What time will it show 77 minutes later? (a) 6:43 (b) 6:33 (c) 7:43 (d) 6:53
  19. 19.A clock shows 8:19. What time will it show 81 minutes later? (a) 9:40 (b) 10:40 (c) 9:50 (d) 9:30
  20. 20.A clock shows 7:42. What time will it show 75 minutes later? (a) 9:57 (b) 9:07 (c) 8:47 (d) 8:57
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  22. 22.A clock shows 11:47. What time will it show 117 minutes later? (a) 1:44 (b) 1:54 (c) 1:34 (d) 2:44
  23. 23.How many degrees does the minute hand of a clock turn in 45 minutes? =
  24. 24.A clock shows 10:17. What time will it show 61 minutes later? (a) 11:18 (b) 11:08 (c) 12:18 (d) 11:28
  25. 25.A clock shows 2:18. What time will it show 59 minutes later? (a) 3:07 (b) 4:17 (c) 3:27 (d) 3:17
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  27. 27.A clock shows 6:43. What time will it show 102 minutes later? (a) 9:25 (b) 8:35 (c) 8:15 (d) 8:25
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 26 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 4 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 2 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  35. 35.A clock shows 4:56. What time will it show 33 minutes later? (a) 5:39 (b) 5:19 (c) 6:29 (d) 5:29
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  37. 37.A clock shows 3:02. What time will it show 63 minutes later? (a) 3:55 (b) 4:15 (c) 4:05 (d) 5:05
  38. 38.How many degrees does the minute hand of a clock turn in 30 minutes? =
  39. 39.A clock shows 11:26. What time will it show 10 minutes later? (a) 11:46 (b) 11:26 (c) 12:36 (d) 11:36
  40. 40.How many degrees does the hour hand of a clock turn in 172 minutes? =

Answer key

  1. 30
  2. 132.5
  3. 3:24
  4. 160
  5. 15.5
  6. 65
  7. 30
  8. 54
  9. 23.5
  10. 95.5
  11. 306
  12. 143
  13. 1:50
  14. 8:07
  15. 4:10
  16. 61.5
  17. 330
  18. 6:43
  19. 9:40
  20. 8:57
  21. 63
  22. 1:44
  23. 270
  24. 11:18
  25. 3:17
  26. 105
  27. 8:25
  28. 6.5
  29. 7
  30. 156
  31. 24
  32. 77.5
  33. 12
  34. 30.5
  35. 5:29
  36. 57
  37. 4:05
  38. 180
  39. 11:36
  40. 86

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