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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 381 · 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 2:44? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 6 minutes? =
  5. 5.A clock shows 9:14. What time will it show 149 minutes later? (a) 11:43 (b) 11:53 (c) 11:33 (d) 12:43
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 39 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  11. 11.A clock shows 7:59. What time will it show 56 minutes later? (a) 8:45 (b) 8:55 (c) 9:55 (d) 9:05
  12. 12.How many degrees does the hour hand of a clock turn in 115 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
  14. 14.A clock shows 1:15. What time will it show 52 minutes later? (a) 3:07 (b) 1:57 (c) 2:07 (d) 2:17
  15. 15.A clock shows 2:13. What time will it show 79 minutes later? (a) 3:32 (b) 3:22 (c) 4:32 (d) 3:42
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 178 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  19. 19.A clock shows 3:24. What time will it show 143 minutes later? (a) 6:47 (b) 5:47 (c) 5:37 (d) 5:57
  20. 20.A clock shows 3:44. What time will it show 25 minutes later? (a) 4:09 (b) 5:09 (c) 4:19 (d) 3:59
  21. 21.A clock shows 11:13. What time will it show 81 minutes later? (a) 12:44 (b) 12:34 (c) 12:24 (d) 1:34
  22. 22.How many degrees does the hour hand of a clock turn in 34 minutes? =
  23. 23.A clock shows 8:37. What time will it show 62 minutes later? (a) 10:39 (b) 9:49 (c) 9:29 (d) 9:39
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  27. 27.A clock shows 6:30. What time will it show 112 minutes later? (a) 8:22 (b) 8:12 (c) 9:22 (d) 8:32
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  29. 29.A clock shows 7:11. What time will it show 132 minutes later? (a) 9:13 (b) 9:33 (c) 9:23 (d) 10:23
  30. 30.A clock shows 2:09. What time will it show 23 minutes later? (a) 2:22 (b) 2:42 (c) 3:32 (d) 2:32
  31. 31.How many degrees does the hour hand of a clock turn in 170 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 20 minutes? =
  33. 33.A clock shows 9:16. What time will it show 88 minutes later? (a) 10:54 (b) 11:44 (c) 10:44 (d) 10:34
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  35. 35.A clock shows 10:23. What time will it show 151 minutes later? (a) 12:54 (b) 1:54 (c) 12:44 (d) 1:04
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  38. 38.A clock shows 4:04. What time will it show 106 minutes later? (a) 6:50 (b) 5:50 (c) 5:40 (d) 6:00
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =

Answer key

  1. 178
  2. 119.5
  3. 136
  4. 36
  5. 11:43
  6. 76.5
  7. 37
  8. 51.5
  9. 234
  10. 25
  11. 8:55
  12. 57.5
  13. 117
  14. 2:07
  15. 3:32
  16. 84
  17. 89
  18. 128.5
  19. 5:47
  20. 4:09
  21. 12:34
  22. 17
  23. 9:39
  24. 77
  25. 57
  26. 21
  27. 8:22
  28. 29.5
  29. 9:23
  30. 2:32
  31. 85
  32. 120
  33. 10:44
  34. 15.5
  35. 12:54
  36. 125.5
  37. 155.5
  38. 5:50
  39. 173.5
  40. 98

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