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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 982 · 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.A clock shows 9:42. What time will it show 78 minutes later? (a) 11:10 (b) 10:50 (c) 12:00 (d) 11:00
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  7. 7.A clock shows 3:01. What time will it show 105 minutes later? (a) 4:46 (b) 5:46 (c) 4:56 (d) 4:36
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  9. 9.A clock shows 4:16. What time will it show 26 minutes later? (a) 5:42 (b) 4:52 (c) 4:32 (d) 4:42
  10. 10.A clock shows 12:42. What time will it show 157 minutes later? (a) 3:09 (b) 3:19 (c) 4:19 (d) 3:29
  11. 11.How many degrees does the hour hand of a clock turn in 134 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  14. 14.A clock shows 3:37. What time will it show 47 minutes later? (a) 4:14 (b) 5:24 (c) 4:34 (d) 4:24
  15. 15.How many degrees does the minute hand of a clock turn in 29 minutes? =
  16. 16.A clock shows 6:39. What time will it show 83 minutes later? (a) 8:12 (b) 9:02 (c) 7:52 (d) 8:02
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 154 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 19 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  21. 21.A clock shows 10:41. What time will it show 31 minutes later? (a) 12:12 (b) 11:12 (c) 11:02 (d) 11:22
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
  23. 23.A clock shows 2:18. What time will it show 133 minutes later? (a) 4:31 (b) 5:31 (c) 4:41 (d) 4:21
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  25. 25.A clock shows 10:16. What time will it show 114 minutes later? (a) 12:00 (b) 12:20 (c) 12:10 (d) 1:10
  26. 26.A clock shows 2:53. What time will it show 101 minutes later? (a) 4:44 (b) 4:24 (c) 5:34 (d) 4:34
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 30 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 39 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 49 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 177 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 110 minutes? =
  35. 35.A clock shows 8:00. What time will it show 131 minutes later? (a) 10:21 (b) 10:01 (c) 11:11 (d) 10:11
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  37. 37.A clock shows 10:53. What time will it show 84 minutes later? (a) 1:17 (b) 12:27 (c) 12:17 (d) 12:07
  38. 38.A clock shows 4:24. What time will it show 154 minutes later? (a) 6:48 (b) 7:08 (c) 7:58 (d) 6:58
  39. 39.A clock shows 2:08. What time will it show 82 minutes later? (a) 3:40 (b) 3:30 (c) 4:30 (d) 3:20
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =

Answer key

  1. 11:00
  2. 151.5
  3. 81.5
  4. 11.5
  5. 77.5
  6. 80
  7. 4:46
  8. 75
  9. 4:42
  10. 3:19
  11. 67
  12. 36
  13. 61
  14. 4:24
  15. 174
  16. 8:02
  17. 105.5
  18. 77
  19. 114
  20. 62.5
  21. 11:12
  22. 161
  23. 4:31
  24. 173.5
  25. 12:10
  26. 4:34
  27. 43.5
  28. 95
  29. 43.5
  30. 180
  31. 234
  32. 294
  33. 88.5
  34. 55
  35. 10:11
  36. 153
  37. 12:17
  38. 6:58
  39. 3:30
  40. 14.5

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