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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 402 · 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 hour hand of a clock turn in 140 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 79 minutes? =
  3. 3.A clock shows 9:06. What time will it show 144 minutes later? (a) 12:30 (b) 11:20 (c) 11:40 (d) 11:30
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 111 minutes? =
  6. 6.A clock shows 12:58. What time will it show 75 minutes later? (a) 2:03 (b) 2:23 (c) 3:13 (d) 2:13
  7. 7.How many degrees does the hour hand of a clock turn in 55 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  11. 11.A clock shows 11:06. What time will it show 168 minutes later? (a) 2:04 (b) 1:44 (c) 1:54 (d) 2:54
  12. 12.How many degrees does the hour hand of a clock turn in 156 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  14. 14.A clock shows 12:06. What time will it show 76 minutes later? (a) 2:22 (b) 1:22 (c) 1:32 (d) 1:12
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 11 minutes? =
  18. 18.A clock shows 12:28. What time will it show 97 minutes later? (a) 2:05 (b) 1:55 (c) 3:05 (d) 2:15
  19. 19.A clock shows 1:00. What time will it show 100 minutes later? (a) 3:40 (b) 2:40 (c) 2:30 (d) 2:50
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 33 minutes? =
  22. 22.A clock shows 12:21. What time will it show 73 minutes later? (a) 1:24 (b) 1:44 (c) 2:34 (d) 1:34
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 61 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  26. 26.A clock shows 1:52. What time will it show 46 minutes later? (a) 2:28 (b) 2:48 (c) 3:38 (d) 2:38
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  28. 28.A clock shows 10:44. What time will it show 160 minutes later? (a) 1:14 (b) 1:34 (c) 1:24 (d) 2:24
  29. 29.How many degrees does the minute hand of a clock turn in 24 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  31. 31.A clock shows 5:58. What time will it show 13 minutes later? (a) 7:11 (b) 6:11 (c) 6:21 (d) 6:01
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  33. 33.A clock shows 10:35. What time will it show 133 minutes later? (a) 12:38 (b) 1:48 (c) 12:48 (d) 12:58
  34. 34.How many degrees does the minute hand of a clock turn in 50 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 85 minutes? =
  37. 37.A clock shows 11:53. What time will it show 143 minutes later? (a) 3:16 (b) 2:16 (c) 2:06 (d) 2:26
  38. 38.A clock shows 2:17. What time will it show 121 minutes later? (a) 4:28 (b) 4:08 (c) 5:18 (d) 4:18
  39. 39.How many degrees does the minute hand of a clock turn in 47 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 18 minutes? =

Answer key

  1. 70
  2. 39.5
  3. 11:30
  4. 142
  5. 55.5
  6. 2:13
  7. 27.5
  8. 104
  9. 33
  10. 164.5
  11. 1:54
  12. 78
  13. 120.5
  14. 1:22
  15. 120
  16. 166.5
  17. 66
  18. 2:05
  19. 2:40
  20. 56.5
  21. 198
  22. 1:34
  23. 49.5
  24. 30.5
  25. 60
  26. 2:38
  27. 163.5
  28. 1:24
  29. 144
  30. 153.5
  31. 6:11
  32. 11.5
  33. 12:48
  34. 300
  35. 58
  36. 42.5
  37. 2:16
  38. 4:18
  39. 282
  40. 108

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