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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 424 · 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 45 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  4. 4.A clock shows 6:49. What time will it show 26 minutes later? (a) 7:15 (b) 7:25 (c) 8:15 (d) 7:05
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:22? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  7. 7.A clock shows 7:37. What time will it show 100 minutes later? (a) 9:27 (b) 9:07 (c) 10:17 (d) 9:17
  8. 8.A clock shows 5:36. What time will it show 170 minutes later? (a) 9:26 (b) 8:16 (c) 8:26 (d) 8:36
  9. 9.How many degrees does the hour hand of a clock turn in 40 minutes? =
  10. 10.A clock shows 4:08. What time will it show 136 minutes later? (a) 6:34 (b) 6:14 (c) 7:24 (d) 6:24
  11. 11.A clock shows 1:12. What time will it show 58 minutes later? (a) 2:10 (b) 2:20 (c) 2:00 (d) 3:10
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 17 minutes? =
  14. 14.A clock shows 9:36. What time will it show 168 minutes later? (a) 12:34 (b) 1:24 (c) 12:24 (d) 12:14
  15. 15.A clock shows 9:14. What time will it show 169 minutes later? (a) 12:03 (b) 11:53 (c) 12:13 (d) 1:03
  16. 16.A clock shows 11:56. What time will it show 120 minutes later? (a) 2:56 (b) 1:56 (c) 2:06 (d) 1:46
  17. 17.A clock shows 12:51. What time will it show 31 minutes later? (a) 2:22 (b) 1:12 (c) 1:22 (d) 1:32
  18. 18.A clock shows 2:44. What time will it show 54 minutes later? (a) 4:38 (b) 3:28 (c) 3:38 (d) 3:48
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  20. 20.A clock shows 7:38. What time will it show 42 minutes later? (a) 8:20 (b) 9:20 (c) 8:30 (d) 8:10
  21. 21.How many degrees does the hour hand of a clock turn in 90 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 40 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 33 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  26. 26.A clock shows 6:39. What time will it show 48 minutes later? (a) 7:37 (b) 8:27 (c) 7:17 (d) 7:27
  27. 27.How many degrees does the hour hand of a clock turn in 125 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 34 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 37 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 59 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 31 minutes? =
  34. 34.A clock shows 2:06. What time will it show 152 minutes later? (a) 4:48 (b) 4:28 (c) 5:38 (d) 4:38
  35. 35.How many degrees does the minute hand of a clock turn in 44 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 45 minutes? =
  37. 37.A clock shows 1:27. What time will it show 22 minutes later? (a) 1:49 (b) 2:49 (c) 1:39 (d) 1:59
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =

Answer key

  1. 270
  2. 108
  3. 3
  4. 7:15
  5. 1
  6. 78.5
  7. 9:17
  8. 8:26
  9. 20
  10. 6:24
  11. 2:10
  12. 111.5
  13. 102
  14. 12:24
  15. 12:03
  16. 1:56
  17. 1:22
  18. 3:38
  19. 50
  20. 8:20
  21. 45
  22. 240
  23. 16.5
  24. 38.5
  25. 37
  26. 7:27
  27. 62.5
  28. 142.5
  29. 17
  30. 13.5
  31. 222
  32. 354
  33. 186
  34. 4:38
  35. 264
  36. 22.5
  37. 1:49
  38. 104
  39. 167
  40. 112.5

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