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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 936 · 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 4:29. What time will it show 17 minutes later? (a) 4:36 (b) 4:46 (c) 5:46 (d) 4:56
  2. 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 11 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 97 minutes? =
  6. 6.A clock shows 10:03. What time will it show 77 minutes later? (a) 11:20 (b) 12:20 (c) 11:10 (d) 11:30
  7. 7.A clock shows 2:50. What time will it show 11 minutes later? (a) 2:51 (b) 3:11 (c) 4:01 (d) 3:01
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 33 minutes? =
  11. 11.A clock shows 11:06. What time will it show 98 minutes later? (a) 12:54 (b) 1:44 (c) 12:44 (d) 12:34
  12. 12.A clock shows 7:49. What time will it show 39 minutes later? (a) 9:28 (b) 8:38 (c) 8:28 (d) 8:18
  13. 13.A clock shows 12:31. What time will it show 52 minutes later? (a) 2:23 (b) 1:33 (c) 1:13 (d) 1:23
  14. 14.A clock shows 1:04. What time will it show 129 minutes later? (a) 3:03 (b) 3:13 (c) 3:23 (d) 4:13
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  18. 18.A clock shows 1:38. What time will it show 19 minutes later? (a) 1:57 (b) 2:57 (c) 2:07 (d) 1:47
  19. 19.How many degrees does the minute hand of a clock turn in 8 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 124 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  23. 23.A clock shows 12:55. What time will it show 150 minutes later? (a) 3:35 (b) 3:25 (c) 4:25 (d) 3:15
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  26. 26.A clock shows 2:03. What time will it show 107 minutes later? (a) 4:50 (b) 4:00 (c) 3:40 (d) 3:50
  27. 27.A clock shows 7:02. What time will it show 15 minutes later? (a) 7:27 (b) 7:07 (c) 7:17 (d) 8:17
  28. 28.A clock shows 5:10. What time will it show 80 minutes later? (a) 6:40 (b) 7:30 (c) 6:20 (d) 6:30
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 25 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 38 minutes? =
  32. 32.A clock shows 2:26. What time will it show 64 minutes later? (a) 3:30 (b) 4:30 (c) 3:20 (d) 3:40
  33. 33.How many degrees does the hour hand of a clock turn in 167 minutes? =
  34. 34.A clock shows 3:05. What time will it show 10 minutes later? (a) 3:05 (b) 3:25 (c) 4:15 (d) 3:15
  35. 35.A clock shows 7:13. What time will it show 150 minutes later? (a) 9:53 (b) 9:33 (c) 9:43 (d) 10:43
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 49 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 61 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =

Answer key

  1. 4:46
  2. 312
  3. 66
  4. 148
  5. 48.5
  6. 11:20
  7. 3:01
  8. 48.5
  9. 121
  10. 198
  11. 12:44
  12. 8:28
  13. 1:23
  14. 3:13
  15. 78.5
  16. 25.5
  17. 5
  18. 1:57
  19. 48
  20. 84
  21. 62
  22. 13.5
  23. 3:25
  24. 25
  25. 128
  26. 3:50
  27. 7:17
  28. 6:30
  29. 55
  30. 150
  31. 19
  32. 3:30
  33. 83.5
  34. 3:15
  35. 9:43
  36. 14
  37. 24.5
  38. 30.5
  39. 24.5
  40. 94

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