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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 110 · 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.A clock shows 12:52. What time will it show 115 minutes later? (a) 2:57 (b) 2:37 (c) 3:47 (d) 2:47
  3. 3.How many degrees does the minute hand of a clock turn in 49 minutes? =
  4. 4.A clock shows 4:30. What time will it show 109 minutes later? (a) 6:29 (b) 7:19 (c) 6:19 (d) 6:09
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  7. 7.A clock shows 1:55. What time will it show 81 minutes later? (a) 3:16 (b) 3:06 (c) 3:26 (d) 4:16
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 43 minutes? =
  11. 11.A clock shows 10:21. What time will it show 139 minutes later? (a) 12:30 (b) 1:40 (c) 12:40 (d) 12:50
  12. 12.How many degrees does the minute hand of a clock turn in 41 minutes? =
  13. 13.A clock shows 8:08. What time will it show 131 minutes later? (a) 10:19 (b) 11:19 (c) 10:29 (d) 10:09
  14. 14.How many degrees does the hour hand of a clock turn in 157 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 28 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 45 minutes? =
  17. 17.A clock shows 10:52. What time will it show 148 minutes later? (a) 1:20 (b) 1:10 (c) 2:20 (d) 1:30
  18. 18.How many degrees does the hour hand of a clock turn in 71 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  21. 21.A clock shows 12:12. What time will it show 82 minutes later? (a) 1:24 (b) 1:44 (c) 2:34 (d) 1:34
  22. 22.How many degrees does the minute hand of a clock turn in 8 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 19 minutes? =
  24. 24.A clock shows 1:00. What time will it show 74 minutes later? (a) 2:04 (b) 2:14 (c) 3:14 (d) 2:24
  25. 25.A clock shows 8:18. What time will it show 61 minutes later? (a) 9:29 (b) 9:09 (c) 9:19 (d) 10:19
  26. 26.A clock shows 4:22. What time will it show 103 minutes later? (a) 5:55 (b) 7:05 (c) 6:05 (d) 6:15
  27. 27.A clock shows 7:34. What time will it show 75 minutes later? (a) 8:39 (b) 9:49 (c) 8:49 (d) 8:59
  28. 28.How many degrees does the minute hand of a clock turn in 57 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 58 minutes? =
  31. 31.A clock shows 1:56. What time will it show 142 minutes later? (a) 4:08 (b) 5:18 (c) 4:28 (d) 4:18
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 59 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 75 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 3 minutes? =
  40. 40.A clock shows 7:49. What time will it show 162 minutes later? (a) 11:31 (b) 10:41 (c) 10:31 (d) 10:21

Answer key

  1. 90
  2. 2:47
  3. 294
  4. 6:19
  5. 85.5
  6. 127
  7. 3:16
  8. 168
  9. 63.5
  10. 258
  11. 12:40
  12. 246
  13. 10:19
  14. 78.5
  15. 168
  16. 270
  17. 1:20
  18. 35.5
  19. 77
  20. 84.5
  21. 1:34
  22. 48
  23. 114
  24. 2:14
  25. 9:19
  26. 6:05
  27. 8:49
  28. 342
  29. 20
  30. 348
  31. 4:18
  32. 150
  33. 29.5
  34. 36.5
  35. 154.5
  36. 132
  37. 37.5
  38. 178
  39. 18
  40. 10:31

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