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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 819 · 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 4:34. What time will it show 63 minutes later? (a) 5:27 (b) 5:47 (c) 6:37 (d) 5:37
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  4. 4.A clock shows 6:33. What time will it show 70 minutes later? (a) 7:33 (b) 7:43 (c) 8:43 (d) 7:53
  5. 5.How many degrees does the minute hand of a clock turn in 25 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 10 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  8. 8.A clock shows 9:04. What time will it show 20 minutes later? (a) 9:34 (b) 9:14 (c) 10:24 (d) 9:24
  9. 9.How many degrees does the minute hand of a clock turn in 14 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 21 minutes? =
  11. 11.A clock shows 10:58. What time will it show 49 minutes later? (a) 11:37 (b) 11:57 (c) 12:47 (d) 11:47
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  13. 13.A clock shows 4:22. What time will it show 70 minutes later? (a) 5:22 (b) 6:32 (c) 5:42 (d) 5:32
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 2 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 93 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 117 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  24. 24.A clock shows 9:30. What time will it show 24 minutes later? (a) 10:04 (b) 9:44 (c) 10:54 (d) 9:54
  25. 25.How many degrees does the minute hand of a clock turn in 15 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 169 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 5 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 20 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 68 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 150 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 30 minutes? =
  36. 36.A clock shows 3:32. What time will it show 111 minutes later? (a) 6:23 (b) 5:33 (c) 5:13 (d) 5:23
  37. 37.A clock shows 2:40. What time will it show 104 minutes later? (a) 4:14 (b) 4:34 (c) 4:24 (d) 5:24
  38. 38.A clock shows 12:43. What time will it show 161 minutes later? (a) 3:24 (b) 3:34 (c) 3:14 (d) 4:24
  39. 39.How many degrees does the hour hand of a clock turn in 135 minutes? =
  40. 40.A clock shows 11:20. What time will it show 115 minutes later? (a) 1:05 (b) 1:25 (c) 2:15 (d) 1:15

Answer key

  1. 5:37
  2. 7
  3. 141
  4. 7:43
  5. 150
  6. 5
  7. 24.5
  8. 9:24
  9. 84
  10. 126
  11. 11:47
  12. 58
  13. 5:32
  14. 111.5
  15. 12
  16. 46.5
  17. 16.5
  18. 105.5
  19. 95
  20. 37
  21. 58.5
  22. 175
  23. 64
  24. 9:54
  25. 90
  26. 84.5
  27. 30
  28. 120
  29. 60
  30. 130.5
  31. 23.5
  32. 34
  33. 65
  34. 75
  35. 15
  36. 5:23
  37. 4:24
  38. 3:24
  39. 67.5
  40. 1:15

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