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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 956 · 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 15 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
  3. 3.A clock shows 1:38. What time will it show 87 minutes later? (a) 3:15 (b) 4:05 (c) 2:55 (d) 3:05
  4. 4.How many degrees does the minute hand of a clock turn in 52 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 29 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  7. 7.A clock shows 3:29. What time will it show 61 minutes later? (a) 4:40 (b) 4:20 (c) 5:30 (d) 4:30
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 4 minutes? =
  10. 10.A clock shows 1:42. What time will it show 82 minutes later? (a) 4:04 (b) 2:54 (c) 3:14 (d) 3:04
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 176 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  15. 15.A clock shows 6:54. What time will it show 145 minutes later? (a) 10:19 (b) 9:19 (c) 9:09 (d) 9:29
  16. 16.A clock shows 7:32. What time will it show 112 minutes later? (a) 10:24 (b) 9:14 (c) 9:34 (d) 9:24
  17. 17.A clock shows 12:33. What time will it show 24 minutes later? (a) 1:07 (b) 12:57 (c) 1:57 (d) 12:47
  18. 18.A clock shows 10:54. What time will it show 18 minutes later? (a) 12:12 (b) 11:22 (c) 11:12 (d) 11:02
  19. 19.How many degrees does the minute hand of a clock turn in 14 minutes? =
  20. 20.A clock shows 9:30. What time will it show 146 minutes later? (a) 11:46 (b) 11:56 (c) 12:06 (d) 12:56
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 20 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  26. 26.A clock shows 7:35. What time will it show 50 minutes later? (a) 9:25 (b) 8:25 (c) 8:35 (d) 8:15
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 49 minutes? =
  29. 29.A clock shows 2:10. What time will it show 84 minutes later? (a) 4:34 (b) 3:34 (c) 3:44 (d) 3:24
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 46 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
  33. 33.A clock shows 1:47. What time will it show 89 minutes later? (a) 4:16 (b) 3:26 (c) 3:16 (d) 3:06
  34. 34.How many degrees does the hour hand of a clock turn in 82 minutes? =
  35. 35.A clock shows 5:22. What time will it show 146 minutes later? (a) 8:48 (b) 7:58 (c) 7:48 (d) 7:38
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  39. 39.A clock shows 4:12. What time will it show 15 minutes later? (a) 4:17 (b) 4:27 (c) 4:37 (d) 5:27
  40. 40.A clock shows 3:38. What time will it show 86 minutes later? (a) 5:04 (b) 5:14 (c) 4:54 (d) 6:04

Answer key

  1. 90
  2. 54
  3. 3:05
  4. 312
  5. 174
  6. 120
  7. 4:30
  8. 17
  9. 24
  10. 3:04
  11. 164.5
  12. 98.5
  13. 88
  14. 78.5
  15. 9:19
  16. 9:24
  17. 12:57
  18. 11:12
  19. 84
  20. 11:56
  21. 68
  22. 3.5
  23. 54
  24. 10
  25. 127.5
  26. 8:25
  27. 114.5
  28. 24.5
  29. 3:34
  30. 121.5
  31. 276
  32. 27.5
  33. 3:16
  34. 41
  35. 7:48
  36. 28.5
  37. 120
  38. 68
  39. 4:27
  40. 5:04

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