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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 623 · 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 2:09. What time will it show 97 minutes later? (a) 3:36 (b) 4:46 (c) 3:46 (d) 3:56
  2. 2.A clock shows 2:57. What time will it show 108 minutes later? (a) 4:55 (b) 4:35 (c) 4:45 (d) 5:45
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  4. 4.A clock shows 6:07. What time will it show 125 minutes later? (a) 8:22 (b) 9:12 (c) 8:02 (d) 8:12
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 54 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 95 minutes? =
  9. 9.A clock shows 9:59. What time will it show 28 minutes later? (a) 10:17 (b) 10:37 (c) 11:27 (d) 10:27
  10. 10.A clock shows 10:03. What time will it show 76 minutes later? (a) 11:09 (b) 12:19 (c) 11:19 (d) 11:29
  11. 11.How many degrees does the minute hand of a clock turn in 32 minutes? =
  12. 12.A clock shows 7:10. What time will it show 86 minutes later? (a) 8:46 (b) 9:36 (c) 8:26 (d) 8:36
  13. 13.A clock shows 10:34. What time will it show 141 minutes later? (a) 1:05 (b) 12:45 (c) 1:55 (d) 12:55
  14. 14.How many degrees does the hour hand of a clock turn in 145 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 90 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 59 minutes? =
  17. 17.A clock shows 4:14. What time will it show 66 minutes later? (a) 5:10 (b) 6:20 (c) 5:20 (d) 5:30
  18. 18.How many degrees does the minute hand of a clock turn in 46 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  20. 20.A clock shows 12:54. What time will it show 62 minutes later? (a) 2:06 (b) 2:56 (c) 1:56 (d) 1:46
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 26 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 171 minutes? =
  25. 25.A clock shows 12:50. What time will it show 55 minutes later? (a) 1:35 (b) 1:45 (c) 2:45 (d) 1:55
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 37 minutes? =
  30. 30.A clock shows 5:16. What time will it show 65 minutes later? (a) 7:21 (b) 6:21 (c) 6:31 (d) 6:11
  31. 31.A clock shows 9:06. What time will it show 96 minutes later? (a) 11:42 (b) 10:52 (c) 10:32 (d) 10:42
  32. 32.How many degrees does the hour hand of a clock turn in 29 minutes? =
  33. 33.A clock shows 4:50. What time will it show 111 minutes later? (a) 6:51 (b) 6:31 (c) 6:41 (d) 7:41
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 16 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =

Answer key

  1. 3:46
  2. 4:45
  3. 114
  4. 8:12
  5. 42
  6. 324
  7. 38
  8. 47.5
  9. 10:27
  10. 11:19
  11. 192
  12. 8:36
  13. 12:55
  14. 72.5
  15. 45
  16. 354
  17. 5:20
  18. 276
  19. 163.5
  20. 1:56
  21. 3.5
  22. 87
  23. 156
  24. 85.5
  25. 1:45
  26. 140
  27. 142
  28. 17.5
  29. 18.5
  30. 6:21
  31. 10:42
  32. 14.5
  33. 6:41
  34. 93
  35. 175.5
  36. 58
  37. 96
  38. 119.5
  39. 36.5
  40. 124

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