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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 19 · 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 10:19? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 6 minutes? =
  4. 4.A clock shows 2:03. What time will it show 118 minutes later? (a) 4:11 (b) 3:51 (c) 5:01 (d) 4:01
  5. 5.A clock shows 1:10. What time will it show 11 minutes later? (a) 2:21 (b) 1:31 (c) 1:11 (d) 1:21
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 33 minutes? =
  8. 8.A clock shows 1:08. What time will it show 27 minutes later? (a) 2:35 (b) 1:25 (c) 1:35 (d) 1:45
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 89 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 77 minutes? =
  12. 12.A clock shows 5:27. What time will it show 29 minutes later? (a) 5:56 (b) 5:46 (c) 6:56 (d) 6:06
  13. 13.How many degrees does the minute hand of a clock turn in 36 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  18. 18.A clock shows 3:56. What time will it show 56 minutes later? (a) 5:52 (b) 4:42 (c) 4:52 (d) 5:02
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 24 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 35 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 108 minutes? =
  27. 27.A clock shows 9:00. What time will it show 30 minutes later? (a) 9:30 (b) 10:30 (c) 9:40 (d) 9:20
  28. 28.A clock shows 11:08. What time will it show 27 minutes later? (a) 11:45 (b) 11:25 (c) 11:35 (d) 12:35
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 148 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 116 minutes? =
  32. 32.A clock shows 6:23. What time will it show 68 minutes later? (a) 7:31 (b) 7:21 (c) 8:31 (d) 7:41
  33. 33.How many degrees does the hour hand of a clock turn in 53 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 23 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 44 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  39. 39.A clock shows 4:12. What time will it show 153 minutes later? (a) 7:45 (b) 6:55 (c) 6:45 (d) 6:35
  40. 40.How many degrees does the minute hand of a clock turn in 2 minutes? =

Answer key

  1. 164.5
  2. 3.5
  3. 36
  4. 4:01
  5. 1:21
  6. 48
  7. 198
  8. 1:35
  9. 102.5
  10. 44.5
  11. 38.5
  12. 5:56
  13. 216
  14. 49
  15. 42.5
  16. 53
  17. 143.5
  18. 4:52
  19. 122
  20. 98.5
  21. 171.5
  22. 20
  23. 112
  24. 12
  25. 210
  26. 54
  27. 9:30
  28. 11:35
  29. 81.5
  30. 74
  31. 58
  32. 7:31
  33. 26.5
  34. 143
  35. 11.5
  36. 131
  37. 22
  38. 100
  39. 6:45
  40. 12

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