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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 926 · 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 12:12. What time will it show 163 minutes later? (a) 2:55 (b) 2:45 (c) 3:05 (d) 3:55
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 115 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  5. 5.A clock shows 1:39. What time will it show 98 minutes later? (a) 3:07 (b) 3:17 (c) 3:27 (d) 4:17
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 40 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  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 6:04? (in degrees) =
  11. 11.A clock shows 6:48. What time will it show 37 minutes later? (a) 7:25 (b) 8:25 (c) 7:15 (d) 7:35
  12. 12.A clock shows 11:29. What time will it show 55 minutes later? (a) 1:24 (b) 12:24 (c) 12:14 (d) 12:34
  13. 13.How many degrees does the hour hand of a clock turn in 58 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 50 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  16. 16.A clock shows 8:09. What time will it show 43 minutes later? (a) 9:02 (b) 8:52 (c) 9:52 (d) 8:42
  17. 17.How many degrees does the hour hand of a clock turn in 176 minutes? =
  18. 18.A clock shows 8:49. What time will it show 124 minutes later? (a) 11:03 (b) 10:43 (c) 11:53 (d) 10:53
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 32 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 5 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  26. 26.A clock shows 4:12. What time will it show 65 minutes later? (a) 5:27 (b) 5:17 (c) 5:07 (d) 6:17
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  30. 30.A clock shows 3:36. What time will it show 131 minutes later? (a) 5:37 (b) 5:57 (c) 6:47 (d) 5:47
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  34. 34.A clock shows 12:32. What time will it show 23 minutes later? (a) 12:45 (b) 1:05 (c) 1:55 (d) 12:55
  35. 35.A clock shows 1:59. What time will it show 121 minutes later? (a) 4:10 (b) 4:00 (c) 3:50 (d) 5:00
  36. 36.How many degrees does the minute hand of a clock turn in 14 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  38. 38.A clock shows 1:50. What time will it show 100 minutes later? (a) 3:40 (b) 3:20 (c) 4:30 (d) 3:30
  39. 39.How many degrees does the hour hand of a clock turn in 50 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =

Answer key

  1. 2:55
  2. 72.5
  3. 57.5
  4. 83.5
  5. 3:17
  6. 50
  7. 240
  8. 139.5
  9. 23.5
  10. 158
  11. 7:25
  12. 12:24
  13. 29
  14. 300
  15. 37.5
  16. 8:52
  17. 88
  18. 10:53
  19. 7.5
  20. 132
  21. 25
  22. 120
  23. 16
  24. 30
  25. 136
  26. 5:17
  27. 44
  28. 83
  29. 15.5
  30. 5:47
  31. 170.5
  32. 83.5
  33. 171
  34. 12:55
  35. 4:00
  36. 84
  37. 95
  38. 3:30
  39. 25
  40. 117

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