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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 570 · 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 10:57? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 7 minutes? =
  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 6:04? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 25 minutes? =
  6. 6.A clock shows 1:25. What time will it show 42 minutes later? (a) 2:17 (b) 2:07 (c) 3:07 (d) 1:57
  7. 7.How many degrees does the hour hand of a clock turn in 146 minutes? =
  8. 8.A clock shows 1:06. What time will it show 74 minutes later? (a) 2:10 (b) 2:20 (c) 2:30 (d) 3:20
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 113 minutes? =
  11. 11.A clock shows 4:10. What time will it show 142 minutes later? (a) 6:22 (b) 6:32 (c) 7:32 (d) 6:42
  12. 12.A clock shows 7:04. What time will it show 116 minutes later? (a) 8:50 (b) 9:10 (c) 10:00 (d) 9:00
  13. 13.How many degrees does the minute hand of a clock turn in 50 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 171 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 112 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 12 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 168 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 23 minutes? =
  20. 20.A clock shows 9:53. What time will it show 153 minutes later? (a) 12:26 (b) 12:36 (c) 1:26 (d) 12:16
  21. 21.A clock shows 8:34. What time will it show 111 minutes later? (a) 11:25 (b) 10:25 (c) 10:15 (d) 10:35
  22. 22.A clock shows 3:01. What time will it show 83 minutes later? (a) 4:24 (b) 5:24 (c) 4:34 (d) 4:14
  23. 23.How many degrees does the minute hand of a clock turn in 19 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  26. 26.A clock shows 8:49. What time will it show 102 minutes later? (a) 10:21 (b) 10:31 (c) 11:31 (d) 10:41
  27. 27.How many degrees does the hour hand of a clock turn in 117 minutes? =
  28. 28.A clock shows 1:12. What time will it show 118 minutes later? (a) 3:20 (b) 4:10 (c) 3:10 (d) 3:00
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 31 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 111 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  35. 35.A clock shows 4:37. What time will it show 93 minutes later? (a) 6:00 (b) 6:20 (c) 7:10 (d) 6:10
  36. 36.How many degrees does the minute hand of a clock turn in 55 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  39. 39.A clock shows 12:13. What time will it show 17 minutes later? (a) 12:30 (b) 1:30 (c) 12:20 (d) 12:40
  40. 40.A clock shows 1:01. What time will it show 21 minutes later? (a) 2:22 (b) 1:12 (c) 1:32 (d) 1:22

Answer key

  1. 13.5
  2. 42
  3. 5
  4. 158
  5. 150
  6. 2:07
  7. 73
  8. 2:20
  9. 179.5
  10. 56.5
  11. 6:32
  12. 9:00
  13. 300
  14. 85.5
  15. 56
  16. 58.5
  17. 72
  18. 84
  19. 11.5
  20. 12:26
  21. 10:25
  22. 4:24
  23. 114
  24. 133
  25. 42
  26. 10:31
  27. 58.5
  28. 3:10
  29. 154.5
  30. 109.5
  31. 148
  32. 186
  33. 55.5
  34. 171.5
  35. 6:10
  36. 330
  37. 172.5
  38. 0.5
  39. 12:30
  40. 1:22

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