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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 41 · 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 5:55? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 128 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 56 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 124 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 88 minutes? =
  7. 7.A clock shows 7:05. What time will it show 133 minutes later? (a) 9:18 (b) 10:18 (c) 9:08 (d) 9:28
  8. 8.How many degrees does the hour hand of a clock turn in 23 minutes? =
  9. 9.A clock shows 5:43. What time will it show 18 minutes later? (a) 5:51 (b) 6:01 (c) 6:11 (d) 7:01
  10. 10.A clock shows 11:23. What time will it show 94 minutes later? (a) 1:07 (b) 12:47 (c) 1:57 (d) 12:57
  11. 11.A clock shows 8:35. What time will it show 115 minutes later? (a) 11:30 (b) 10:20 (c) 10:30 (d) 10:40
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 50 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 119 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 10 minutes? =
  20. 20.A clock shows 9:19. What time will it show 146 minutes later? (a) 12:45 (b) 11:35 (c) 11:55 (d) 11:45
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  22. 22.A clock shows 8:26. What time will it show 59 minutes later? (a) 9:15 (b) 9:35 (c) 9:25 (d) 10:25
  23. 23.A clock shows 10:37. What time will it show 127 minutes later? (a) 12:44 (b) 12:54 (c) 1:44 (d) 12:34
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  26. 26.A clock shows 9:21. What time will it show 43 minutes later? (a) 10:14 (b) 9:54 (c) 10:04 (d) 11:04
  27. 27.A clock shows 12:07. What time will it show 12 minutes later? (a) 12:19 (b) 12:29 (c) 1:19 (d) 12:09
  28. 28.A clock shows 5:09. What time will it show 86 minutes later? (a) 6:45 (b) 7:35 (c) 6:25 (d) 6:35
  29. 29.How many degrees does the minute hand of a clock turn in 11 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 51 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 155 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  34. 34.A clock shows 5:08. What time will it show 130 minutes later? (a) 8:18 (b) 7:08 (c) 7:28 (d) 7:18
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 27 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 24 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 53 minutes? =

Answer key

  1. 152.5
  2. 5
  3. 64
  4. 336
  5. 62
  6. 44
  7. 9:18
  8. 11.5
  9. 6:01
  10. 12:57
  11. 10:30
  12. 72
  13. 29
  14. 148
  15. 89.5
  16. 300
  17. 138.5
  18. 59.5
  19. 60
  20. 11:45
  21. 134.5
  22. 9:25
  23. 12:44
  24. 106
  25. 112
  26. 10:04
  27. 12:19
  28. 6:35
  29. 66
  30. 178
  31. 306
  32. 77.5
  33. 130.5
  34. 7:18
  35. 136.5
  36. 162
  37. 35
  38. 144
  39. 60.5
  40. 318

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