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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 907 · 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 5:20? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 39 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 27 minutes? =
  4. 4.A clock shows 10:28. What time will it show 53 minutes later? (a) 11:21 (b) 11:31 (c) 11:11 (d) 12:21
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 5 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 16 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 167 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 10 minutes? =
  11. 11.A clock shows 1:33. What time will it show 135 minutes later? (a) 3:38 (b) 4:48 (c) 3:58 (d) 3:48
  12. 12.How many degrees does the hour hand of a clock turn in 93 minutes? =
  13. 13.A clock shows 12:58. What time will it show 32 minutes later? (a) 1:30 (b) 1:40 (c) 2:30 (d) 1:20
  14. 14.How many degrees does the hour hand of a clock turn in 10 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 9 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  17. 17.A clock shows 12:57. What time will it show 111 minutes later? (a) 2:48 (b) 2:58 (c) 3:48 (d) 2:38
  18. 18.How many degrees does the minute hand of a clock turn in 46 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  20. 20.A clock shows 7:08. What time will it show 169 minutes later? (a) 9:47 (b) 10:07 (c) 10:57 (d) 9:57
  21. 21.How many degrees does the hour hand of a clock turn in 38 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  25. 25.A clock shows 12:47. What time will it show 108 minutes later? (a) 2:25 (b) 2:45 (c) 2:35 (d) 3:35
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  27. 27.A clock shows 8:38. What time will it show 54 minutes later? (a) 10:32 (b) 9:32 (c) 9:22 (d) 9:42
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  29. 29.A clock shows 3:20. What time will it show 145 minutes later? (a) 5:35 (b) 6:45 (c) 5:55 (d) 5:45
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  32. 32.A clock shows 2:13. What time will it show 21 minutes later? (a) 2:24 (b) 2:44 (c) 2:34 (d) 3:34
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  35. 35.A clock shows 5:48. What time will it show 159 minutes later? (a) 8:17 (b) 8:37 (c) 9:27 (d) 8:27
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  37. 37.A clock shows 2:51. What time will it show 57 minutes later? (a) 3:58 (b) 4:48 (c) 3:38 (d) 3:48
  38. 38.How many degrees does the hour hand of a clock turn in 28 minutes? =
  39. 39.A clock shows 2:31. What time will it show 84 minutes later? (a) 3:45 (b) 3:55 (c) 4:05 (d) 4:55
  40. 40.A clock shows 1:25. What time will it show 140 minutes later? (a) 3:55 (b) 4:45 (c) 3:35 (d) 3:45

Answer key

  1. 40
  2. 19.5
  3. 162
  4. 11:21
  5. 12
  6. 100
  7. 30
  8. 96
  9. 83.5
  10. 60
  11. 3:48
  12. 46.5
  13. 1:30
  14. 5
  15. 54
  16. 179
  17. 2:48
  18. 276
  19. 173.5
  20. 9:57
  21. 19
  22. 120
  23. 118
  24. 89
  25. 2:35
  26. 40.5
  27. 9:32
  28. 6.5
  29. 5:45
  30. 76
  31. 12.5
  32. 2:34
  33. 27
  34. 116.5
  35. 8:27
  36. 20.5
  37. 3:48
  38. 14
  39. 3:55
  40. 3:45

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