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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 400 · 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.How many degrees does the hour hand of a clock turn in 72 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  3. 3.A clock shows 7:33. What time will it show 154 minutes later? (a) 9:57 (b) 11:07 (c) 10:17 (d) 10:07
  4. 4.A clock shows 2:16. What time will it show 46 minutes later? (a) 2:52 (b) 3:12 (c) 4:02 (d) 3:02
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  7. 7.A clock shows 9:33. What time will it show 112 minutes later? (a) 11:15 (b) 11:35 (c) 11:25 (d) 12:25
  8. 8.A clock shows 4:30. What time will it show 57 minutes later? (a) 6:27 (b) 5:27 (c) 5:37 (d) 5:17
  9. 9.How many degrees does the minute hand of a clock turn in 50 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  14. 14.A clock shows 2:32. What time will it show 55 minutes later? (a) 3:37 (b) 4:27 (c) 3:27 (d) 3:17
  15. 15.How many degrees does the hour hand of a clock turn in 94 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 4 minutes? =
  17. 17.A clock shows 8:40. What time will it show 53 minutes later? (a) 9:23 (b) 10:33 (c) 9:43 (d) 9:33
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 55 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 3 minutes? =
  21. 21.A clock shows 7:19. What time will it show 38 minutes later? (a) 7:47 (b) 7:57 (c) 8:57 (d) 8:07
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  23. 23.A clock shows 4:04. What time will it show 136 minutes later? (a) 7:20 (b) 6:20 (c) 6:30 (d) 6:10
  24. 24.How many degrees does the hour hand of a clock turn in 129 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 46 minutes? =
  26. 26.A clock shows 1:54. What time will it show 37 minutes later? (a) 2:31 (b) 2:41 (c) 3:31 (d) 2:21
  27. 27.How many degrees does the hour hand of a clock turn in 130 minutes? =
  28. 28.A clock shows 11:20. What time will it show 69 minutes later? (a) 12:39 (b) 12:19 (c) 1:29 (d) 12:29
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 6 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  34. 34.A clock shows 11:58. What time will it show 90 minutes later? (a) 2:28 (b) 1:28 (c) 1:18 (d) 1:38
  35. 35.A clock shows 10:56. What time will it show 167 minutes later? (a) 2:43 (b) 1:33 (c) 1:53 (d) 1:43
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
  39. 39.A clock shows 7:10. What time will it show 136 minutes later? (a) 10:26 (b) 9:26 (c) 9:36 (d) 9:16
  40. 40.How many degrees does the minute hand of a clock turn in 31 minutes? =

Answer key

  1. 36
  2. 4.5
  3. 10:07
  4. 3:02
  5. 103
  6. 32
  7. 11:25
  8. 5:27
  9. 300
  10. 2
  11. 48
  12. 58
  13. 120.5
  14. 3:27
  15. 47
  16. 24
  17. 9:33
  18. 175.5
  19. 330
  20. 18
  21. 7:57
  22. 137.5
  23. 6:20
  24. 64.5
  25. 276
  26. 2:31
  27. 65
  28. 12:29
  29. 166.5
  30. 111.5
  31. 36
  32. 98.5
  33. 30
  34. 1:28
  35. 1:43
  36. 66
  37. 57
  38. 159.5
  39. 9:26
  40. 186

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