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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 405 · 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 1:37. What time will it show 46 minutes later? (a) 3:23 (b) 2:23 (c) 2:33 (d) 2:13
  2. 2.A clock shows 8:02. What time will it show 145 minutes later? (a) 11:27 (b) 10:17 (c) 10:27 (d) 10:37
  3. 3.A clock shows 1:55. What time will it show 102 minutes later? (a) 4:37 (b) 3:47 (c) 3:37 (d) 3:27
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  9. 9.A clock shows 4:27. What time will it show 90 minutes later? (a) 5:47 (b) 5:57 (c) 6:07 (d) 6:57
  10. 10.How many degrees does the hour hand of a clock turn in 14 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  12. 12.A clock shows 4:02. What time will it show 150 minutes later? (a) 6:42 (b) 6:32 (c) 6:22 (d) 7:32
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 39 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 41 minutes? =
  16. 16.A clock shows 1:14. What time will it show 141 minutes later? (a) 3:45 (b) 3:25 (c) 4:35 (d) 3:35
  17. 17.How many degrees does the minute hand of a clock turn in 35 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  21. 21.A clock shows 9:44. What time will it show 96 minutes later? (a) 11:10 (b) 11:20 (c) 12:20 (d) 11:30
  22. 22.A clock shows 12:54. What time will it show 14 minutes later? (a) 1:18 (b) 1:08 (c) 2:08 (d) 12:58
  23. 23.A clock shows 9:39. What time will it show 11 minutes later? (a) 9:40 (b) 9:50 (c) 10:00 (d) 10:50
  24. 24.How many degrees does the hour hand of a clock turn in 101 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  26. 26.A clock shows 11:15. What time will it show 14 minutes later? (a) 12:29 (b) 11:39 (c) 11:19 (d) 11:29
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  31. 31.A clock shows 8:29. What time will it show 65 minutes later? (a) 9:34 (b) 10:34 (c) 9:24 (d) 9:44
  32. 32.How many degrees does the hour hand of a clock turn in 112 minutes? =
  33. 33.A clock shows 1:36. What time will it show 51 minutes later? (a) 2:27 (b) 3:27 (c) 2:37 (d) 2:17
  34. 34.A clock shows 11:01. What time will it show 62 minutes later? (a) 12:03 (b) 11:53 (c) 12:13 (d) 1:03
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 2 minutes? =
  38. 38.A clock shows 2:13. What time will it show 47 minutes later? (a) 3:00 (b) 4:00 (c) 2:50 (d) 3:10
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 178 minutes? =

Answer key

  1. 2:23
  2. 10:27
  3. 3:37
  4. 40
  5. 134.5
  6. 164.5
  7. 153
  8. 179.5
  9. 5:57
  10. 7
  11. 55.5
  12. 6:32
  13. 171.5
  14. 234
  15. 20.5
  16. 3:35
  17. 210
  18. 80
  19. 156.5
  20. 57.5
  21. 11:20
  22. 1:08
  23. 9:50
  24. 50.5
  25. 162
  26. 11:29
  27. 16
  28. 74
  29. 5
  30. 16.5
  31. 9:34
  32. 56
  33. 2:27
  34. 12:03
  35. 87
  36. 59.5
  37. 12
  38. 3:00
  39. 14
  40. 89

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