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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 795 · 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 3:04. What time will it show 152 minutes later? (a) 5:36 (b) 5:26 (c) 5:46 (d) 6:36
  2. 2.A clock shows 12:40. What time will it show 84 minutes later? (a) 1:54 (b) 2:04 (c) 3:04 (d) 2:14
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 55 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  9. 9.A clock shows 1:26. What time will it show 59 minutes later? (a) 3:25 (b) 2:25 (c) 2:35 (d) 2:15
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 48 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 69 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 43 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
  18. 18.A clock shows 8:55. What time will it show 24 minutes later? (a) 10:19 (b) 9:29 (c) 9:19 (d) 9:09
  19. 19.How many degrees does the hour hand of a clock turn in 135 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 165 minutes? =
  21. 21.A clock shows 9:06. What time will it show 73 minutes later? (a) 10:09 (b) 11:19 (c) 10:19 (d) 10:29
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 13 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 15 minutes? =
  25. 25.A clock shows 8:32. What time will it show 50 minutes later? (a) 9:22 (b) 9:12 (c) 10:22 (d) 9:32
  26. 26.A clock shows 12:30. What time will it show 108 minutes later? (a) 2:08 (b) 2:18 (c) 2:28 (d) 3:18
  27. 27.A clock shows 10:22. What time will it show 157 minutes later? (a) 12:49 (b) 1:59 (c) 1:09 (d) 12:59
  28. 28.How many degrees does the hour hand of a clock turn in 167 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  30. 30.A clock shows 12:24. What time will it show 108 minutes later? (a) 2:02 (b) 2:22 (c) 3:12 (d) 2:12
  31. 31.How many degrees does the minute hand of a clock turn in 10 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  33. 33.A clock shows 9:41. What time will it show 123 minutes later? (a) 11:54 (b) 11:44 (c) 11:34 (d) 12:44
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  35. 35.A clock shows 8:47. What time will it show 18 minutes later? (a) 9:05 (b) 10:05 (c) 9:15 (d) 8:55
  36. 36.A clock shows 6:08. What time will it show 11 minutes later? (a) 7:19 (b) 6:19 (c) 6:29 (d) 6:09
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 9 minutes? =

Answer key

  1. 5:36
  2. 2:04
  3. 89.5
  4. 146.5
  5. 330
  6. 29
  7. 80.5
  8. 78.5
  9. 2:25
  10. 120.5
  11. 288
  12. 22
  13. 109.5
  14. 34.5
  15. 258
  16. 2
  17. 89
  18. 9:19
  19. 67.5
  20. 82.5
  21. 10:19
  22. 29.5
  23. 78
  24. 90
  25. 9:22
  26. 2:18
  27. 12:59
  28. 83.5
  29. 110.5
  30. 2:12
  31. 60
  32. 13
  33. 11:44
  34. 107
  35. 9:05
  36. 6:19
  37. 119.5
  38. 175.5
  39. 138.5
  40. 54

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