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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 240 · 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 12:51? (in degrees) =
  2. 2.A clock shows 8:02. What time will it show 18 minutes later? (a) 8:20 (b) 8:30 (c) 9:20 (d) 8:10
  3. 3.How many degrees does the hour hand of a clock turn in 10 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  6. 6.A clock shows 2:53. What time will it show 25 minutes later? (a) 3:18 (b) 4:18 (c) 3:08 (d) 3:28
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 23 minutes? =
  10. 10.A clock shows 8:52. What time will it show 84 minutes later? (a) 10:26 (b) 10:06 (c) 11:16 (d) 10:16
  11. 11.A clock shows 3:10. What time will it show 50 minutes later? (a) 4:10 (b) 3:50 (c) 5:00 (d) 4:00
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 124 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 57 minutes? =
  15. 15.A clock shows 4:45. What time will it show 37 minutes later? (a) 5:32 (b) 5:22 (c) 5:12 (d) 6:22
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  17. 17.A clock shows 12:18. What time will it show 62 minutes later? (a) 2:20 (b) 1:10 (c) 1:20 (d) 1:30
  18. 18.A clock shows 1:49. What time will it show 149 minutes later? (a) 5:18 (b) 4:18 (c) 4:28 (d) 4:08
  19. 19.How many degrees does the hour hand of a clock turn in 149 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  21. 21.A clock shows 12:14. What time will it show 24 minutes later? (a) 12:48 (b) 12:28 (c) 12:38 (d) 1:38
  22. 22.How many degrees does the minute hand of a clock turn in 42 minutes? =
  23. 23.A clock shows 3:26. What time will it show 80 minutes later? (a) 4:56 (b) 4:36 (c) 5:46 (d) 4:46
  24. 24.How many degrees does the hour hand of a clock turn in 16 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 130 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 43 minutes? =
  29. 29.A clock shows 12:02. What time will it show 10 minutes later? (a) 12:02 (b) 12:22 (c) 12:12 (d) 1:12
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 36 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 23 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 2 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 115 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  40. 40.A clock shows 7:36. What time will it show 12 minutes later? (a) 7:58 (b) 8:48 (c) 7:48 (d) 7:38

Answer key

  1. 79.5
  2. 8:20
  3. 5
  4. 62
  5. 48
  6. 3:18
  7. 174.5
  8. 44.5
  9. 11.5
  10. 10:16
  11. 4:00
  12. 118
  13. 62
  14. 342
  15. 5:22
  16. 139
  17. 1:20
  18. 4:18
  19. 74.5
  20. 112.5
  21. 12:38
  22. 252
  23. 4:46
  24. 8
  25. 62.5
  26. 65
  27. 105.5
  28. 21.5
  29. 12:12
  30. 55
  31. 216
  32. 138
  33. 100
  34. 150
  35. 12
  36. 103.5
  37. 57.5
  38. 4.5
  39. 2.5
  40. 7:48

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