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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 79 · 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 123 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 168 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 48 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
  7. 7.A clock shows 7:58. What time will it show 56 minutes later? (a) 8:44 (b) 8:54 (c) 9:54 (d) 9:04
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 17 minutes? =
  10. 10.A clock shows 10:01. What time will it show 39 minutes later? (a) 10:50 (b) 10:30 (c) 11:40 (d) 10:40
  11. 11.A clock shows 8:58. What time will it show 20 minutes later? (a) 9:18 (b) 9:08 (c) 10:18 (d) 9:28
  12. 12.A clock shows 6:32. What time will it show 73 minutes later? (a) 7:35 (b) 7:45 (c) 7:55 (d) 8:45
  13. 13.A clock shows 2:58. What time will it show 15 minutes later? (a) 3:13 (b) 4:13 (c) 3:03 (d) 3:23
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  15. 15.A clock shows 7:07. What time will it show 136 minutes later? (a) 9:33 (b) 9:13 (c) 10:23 (d) 9:23
  16. 16.A clock shows 2:57. What time will it show 37 minutes later? (a) 3:44 (b) 3:34 (c) 3:24 (d) 4:34
  17. 17.A clock shows 5:24. What time will it show 138 minutes later? (a) 7:32 (b) 7:42 (c) 7:52 (d) 8:42
  18. 18.A clock shows 12:09. What time will it show 36 minutes later? (a) 1:45 (b) 12:55 (c) 12:35 (d) 12:45
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 3 minutes? =
  21. 21.A clock shows 12:26. What time will it show 142 minutes later? (a) 2:48 (b) 2:38 (c) 2:58 (d) 3:48
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 43 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 30 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 57 minutes? =
  31. 31.A clock shows 4:06. What time will it show 138 minutes later? (a) 6:34 (b) 6:14 (c) 6:24 (d) 7:24
  32. 32.A clock shows 11:57. What time will it show 83 minutes later? (a) 1:30 (b) 1:20 (c) 1:10 (d) 2:20
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 144 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 53 minutes? =
  38. 38.A clock shows 8:26. What time will it show 130 minutes later? (a) 10:36 (b) 11:36 (c) 10:26 (d) 10:46
  39. 39.How many degrees does the hour hand of a clock turn in 44 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 46 minutes? =

Answer key

  1. 61.5
  2. 135.5
  3. 84
  4. 138
  5. 288
  6. 144
  7. 8:54
  8. 60.5
  9. 102
  10. 10:40
  11. 9:18
  12. 7:45
  13. 3:13
  14. 22
  15. 9:23
  16. 3:34
  17. 7:42
  18. 12:45
  19. 46
  20. 18
  21. 2:48
  22. 69.5
  23. 76.5
  24. 100
  25. 258
  26. 173.5
  27. 99.5
  28. 12
  29. 180
  30. 342
  31. 6:24
  32. 1:20
  33. 8
  34. 27
  35. 21
  36. 72
  37. 318
  38. 10:36
  39. 22
  40. 276

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