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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 343 · 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 4:55? (in degrees) =
  2. 2.A clock shows 10:20. What time will it show 89 minutes later? (a) 11:59 (b) 11:49 (c) 11:39 (d) 12:49
  3. 3.How many degrees does the hour hand of a clock turn in 145 minutes? =
  4. 4.A clock shows 1:53. What time will it show 155 minutes later? (a) 4:28 (b) 5:28 (c) 4:38 (d) 4:18
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  6. 6.A clock shows 9:03. What time will it show 41 minutes later? (a) 9:34 (b) 9:54 (c) 9:44 (d) 10:44
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 19 minutes? =
  9. 9.A clock shows 10:29. What time will it show 56 minutes later? (a) 12:25 (b) 11:35 (c) 11:25 (d) 11:15
  10. 10.A clock shows 4:39. What time will it show 22 minutes later? (a) 6:01 (b) 5:11 (c) 4:51 (d) 5:01
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  14. 14.A clock shows 5:21. What time will it show 44 minutes later? (a) 6:15 (b) 6:05 (c) 7:05 (d) 5:55
  15. 15.A clock shows 6:10. What time will it show 78 minutes later? (a) 8:28 (b) 7:38 (c) 7:28 (d) 7:18
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  19. 19.A clock shows 11:57. What time will it show 84 minutes later? (a) 1:21 (b) 2:21 (c) 1:31 (d) 1:11
  20. 20.How many degrees does the minute hand of a clock turn in 16 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  23. 23.A clock shows 6:52. What time will it show 29 minutes later? (a) 7:11 (b) 7:31 (c) 7:21 (d) 8:21
  24. 24.How many degrees does the minute hand of a clock turn in 22 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 35 minutes? =
  26. 26.A clock shows 9:18. What time will it show 57 minutes later? (a) 10:05 (b) 10:25 (c) 10:15 (d) 11:15
  27. 27.A clock shows 2:27. What time will it show 29 minutes later? (a) 3:06 (b) 2:46 (c) 3:56 (d) 2:56
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 63 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 10 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  33. 33.A clock shows 12:07. What time will it show 33 minutes later? (a) 12:50 (b) 12:40 (c) 1:40 (d) 12:30
  34. 34.A clock shows 3:28. What time will it show 165 minutes later? (a) 6:13 (b) 7:13 (c) 6:03 (d) 6:23
  35. 35.How many degrees does the minute hand of a clock turn in 23 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 32 minutes? =
  37. 37.A clock shows 9:15. What time will it show 83 minutes later? (a) 11:38 (b) 10:48 (c) 10:38 (d) 10:28
  38. 38.A clock shows 6:08. What time will it show 71 minutes later? (a) 7:29 (b) 7:09 (c) 8:19 (d) 7:19
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 42 minutes? =

Answer key

  1. 177.5
  2. 11:49
  3. 72.5
  4. 4:28
  5. 5.5
  6. 9:44
  7. 47
  8. 114
  9. 11:25
  10. 5:01
  11. 26
  12. 168.5
  13. 47.5
  14. 6:05
  15. 7:28
  16. 156
  17. 20
  18. 10.5
  19. 1:21
  20. 96
  21. 61.5
  22. 74
  23. 7:21
  24. 132
  25. 210
  26. 10:15
  27. 2:56
  28. 109.5
  29. 31.5
  30. 44
  31. 5
  32. 177.5
  33. 12:40
  34. 6:13
  35. 138
  36. 16
  37. 10:38
  38. 7:19
  39. 165.5
  40. 252

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