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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 361 · 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 1:46. What time will it show 60 minutes later? (a) 3:46 (b) 2:36 (c) 2:56 (d) 2:46
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  4. 4.A clock shows 5:43. What time will it show 66 minutes later? (a) 6:49 (b) 6:59 (c) 7:49 (d) 6:39
  5. 5.How many degrees does the minute hand of a clock turn in 54 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 31 minutes? =
  7. 7.A clock shows 10:25. What time will it show 135 minutes later? (a) 12:40 (b) 1:40 (c) 12:50 (d) 12:30
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 79 minutes? =
  10. 10.A clock shows 11:37. What time will it show 170 minutes later? (a) 2:17 (b) 2:37 (c) 2:27 (d) 3:27
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 22 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  15. 15.A clock shows 6:53. What time will it show 37 minutes later? (a) 7:30 (b) 8:30 (c) 7:20 (d) 7:40
  16. 16.A clock shows 4:22. What time will it show 19 minutes later? (a) 4:31 (b) 4:51 (c) 4:41 (d) 5:41
  17. 17.How many degrees does the minute hand of a clock turn in 33 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 59 minutes? =
  19. 19.A clock shows 2:04. What time will it show 109 minutes later? (a) 4:03 (b) 3:53 (c) 4:53 (d) 3:43
  20. 20.How many degrees does the minute hand of a clock turn in 50 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 36 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 145 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 47 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  25. 25.A clock shows 8:13. What time will it show 128 minutes later? (a) 10:11 (b) 11:21 (c) 10:31 (d) 10:21
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  28. 28.A clock shows 4:36. What time will it show 128 minutes later? (a) 7:44 (b) 6:54 (c) 6:44 (d) 6:34
  29. 29.A clock shows 12:03. What time will it show 93 minutes later? (a) 1:26 (b) 1:36 (c) 2:36 (d) 1:46
  30. 30.A clock shows 5:04. What time will it show 50 minutes later? (a) 6:04 (b) 5:54 (c) 6:54 (d) 5:44
  31. 31.A clock shows 12:18. What time will it show 30 minutes later? (a) 12:48 (b) 12:38 (c) 12:58 (d) 1:48
  32. 32.How many degrees does the hour hand of a clock turn in 173 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  35. 35.A clock shows 3:02. What time will it show 105 minutes later? (a) 5:47 (b) 4:47 (c) 4:57 (d) 4:37
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 7 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 15 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =

Answer key

  1. 2:46
  2. 131
  3. 54
  4. 6:49
  5. 324
  6. 186
  7. 12:40
  8. 116
  9. 39.5
  10. 2:27
  11. 10.5
  12. 132
  13. 92.5
  14. 24
  15. 7:30
  16. 4:41
  17. 198
  18. 354
  19. 3:53
  20. 300
  21. 216
  22. 72.5
  23. 282
  24. 40.5
  25. 10:21
  26. 91.5
  27. 16.5
  28. 6:44
  29. 1:36
  30. 5:54
  31. 12:48
  32. 86.5
  33. 10.5
  34. 32.5
  35. 4:47
  36. 175
  37. 42
  38. 1.5
  39. 90
  40. 48

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