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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 57 · 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 2:09? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 136 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  7. 7.A clock shows 3:49. What time will it show 21 minutes later? (a) 4:10 (b) 4:00 (c) 5:10 (d) 4:20
  8. 8.A clock shows 6:29. What time will it show 110 minutes later? (a) 8:09 (b) 8:29 (c) 8:19 (d) 9:19
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 164 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 150 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 42 minutes? =
  15. 15.A clock shows 1:31. What time will it show 44 minutes later? (a) 2:15 (b) 3:15 (c) 2:25 (d) 2:05
  16. 16.How many degrees does the hour hand of a clock turn in 123 minutes? =
  17. 17.A clock shows 9:39. What time will it show 139 minutes later? (a) 11:48 (b) 12:08 (c) 12:58 (d) 11:58
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 10 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 100 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  23. 23.A clock shows 4:05. What time will it show 128 minutes later? (a) 7:13 (b) 6:03 (c) 6:23 (d) 6:13
  24. 24.How many degrees does the minute hand of a clock turn in 53 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  26. 26.A clock shows 12:55. What time will it show 41 minutes later? (a) 1:36 (b) 1:46 (c) 1:26 (d) 2:36
  27. 27.A clock shows 12:01. What time will it show 76 minutes later? (a) 1:17 (b) 1:27 (c) 2:17 (d) 1:07
  28. 28.A clock shows 2:11. What time will it show 121 minutes later? (a) 4:02 (b) 4:12 (c) 5:12 (d) 4:22
  29. 29.A clock shows 9:27. What time will it show 166 minutes later? (a) 12:03 (b) 1:13 (c) 12:23 (d) 12:13
  30. 30.A clock shows 11:16. What time will it show 85 minutes later? (a) 1:41 (b) 12:41 (c) 12:51 (d) 12:31
  31. 31.A clock shows 1:01. What time will it show 143 minutes later? (a) 3:34 (b) 3:14 (c) 4:24 (d) 3:24
  32. 32.A clock shows 5:12. What time will it show 35 minutes later? (a) 6:47 (b) 5:57 (c) 5:37 (d) 5:47
  33. 33.How many degrees does the minute hand of a clock turn in 33 minutes? =
  34. 34.A clock shows 11:05. What time will it show 38 minutes later? (a) 11:53 (b) 11:33 (c) 12:43 (d) 11:43
  35. 35.A clock shows 9:07. What time will it show 121 minutes later? (a) 11:18 (b) 11:08 (c) 12:08 (d) 10:58
  36. 36.How many degrees does the minute hand of a clock turn in 58 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 43 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 6 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 28 minutes? =

Answer key

  1. 10.5
  2. 129
  3. 105.5
  4. 97
  5. 68
  6. 132.5
  7. 4:10
  8. 8:19
  9. 44.5
  10. 82
  11. 130.5
  12. 75
  13. 84.5
  14. 252
  15. 2:15
  16. 61.5
  17. 11:58
  18. 84
  19. 60
  20. 50
  21. 143
  22. 177
  23. 6:13
  24. 318
  25. 20
  26. 1:36
  27. 1:17
  28. 4:12
  29. 12:13
  30. 12:41
  31. 3:24
  32. 5:47
  33. 198
  34. 11:43
  35. 11:08
  36. 348
  37. 115.5
  38. 258
  39. 36
  40. 168

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