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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 389 · 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 8:51? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 20 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 11 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 82 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 3 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  10. 10.A clock shows 10:09. What time will it show 134 minutes later? (a) 1:23 (b) 12:33 (c) 12:13 (d) 12:23
  11. 11.A clock shows 1:59. What time will it show 43 minutes later? (a) 2:32 (b) 3:42 (c) 2:52 (d) 2:42
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  13. 13.A clock shows 2:40. What time will it show 144 minutes later? (a) 5:14 (b) 5:04 (c) 6:04 (d) 4:54
  14. 14.A clock shows 6:06. What time will it show 29 minutes later? (a) 6:35 (b) 6:45 (c) 7:35 (d) 6:25
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 17 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  20. 20.A clock shows 8:07. What time will it show 104 minutes later? (a) 10:01 (b) 9:41 (c) 9:51 (d) 10:51
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  22. 22.A clock shows 8:10. What time will it show 82 minutes later? (a) 9:32 (b) 9:22 (c) 9:42 (d) 10:32
  23. 23.How many degrees does the hour hand of a clock turn in 68 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 30 minutes? =
  25. 25.A clock shows 7:48. What time will it show 122 minutes later? (a) 10:00 (b) 9:40 (c) 9:50 (d) 10:50
  26. 26.A clock shows 4:02. What time will it show 46 minutes later? (a) 5:48 (b) 4:38 (c) 4:48 (d) 4:58
  27. 27.How many degrees does the hour hand of a clock turn in 128 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 58 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  30. 30.A clock shows 7:56. What time will it show 18 minutes later? (a) 8:24 (b) 9:14 (c) 8:14 (d) 8:04
  31. 31.A clock shows 10:31. What time will it show 81 minutes later? (a) 11:52 (b) 12:02 (c) 11:42 (d) 12:52
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 120 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  35. 35.A clock shows 8:00. What time will it show 80 minutes later? (a) 9:30 (b) 10:20 (c) 9:10 (d) 9:20
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 30 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  40. 40.A clock shows 1:29. What time will it show 44 minutes later? (a) 2:03 (b) 2:13 (c) 2:23 (d) 3:13

Answer key

  1. 40.5
  2. 120
  3. 66
  4. 91.5
  5. 92.5
  6. 41
  7. 18
  8. 107
  9. 94.5
  10. 12:23
  11. 2:42
  12. 101.5
  13. 5:04
  14. 6:35
  15. 152.5
  16. 19.5
  17. 135
  18. 102
  19. 48
  20. 9:51
  21. 83
  22. 9:32
  23. 34
  24. 15
  25. 9:50
  26. 4:48
  27. 64
  28. 348
  29. 71.5
  30. 8:14
  31. 11:52
  32. 12.5
  33. 60
  34. 117.5
  35. 9:20
  36. 2
  37. 180
  38. 82
  39. 59.5
  40. 2:13

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