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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 667 · 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 130 minutes? =
  2. 2.A clock shows 1:52. What time will it show 143 minutes later? (a) 5:15 (b) 4:05 (c) 4:25 (d) 4:15
  3. 3.How many degrees does the minute hand of a clock turn in 41 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 50 minutes? =
  5. 5.A clock shows 4:50. What time will it show 33 minutes later? (a) 6:23 (b) 5:13 (c) 5:33 (d) 5:23
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 174 minutes? =
  9. 9.A clock shows 7:41. What time will it show 157 minutes later? (a) 10:08 (b) 11:18 (c) 10:18 (d) 10:28
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  12. 12.A clock shows 2:51. What time will it show 65 minutes later? (a) 4:56 (b) 3:56 (c) 3:46 (d) 4:06
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 85 minutes? =
  16. 16.A clock shows 5:18. What time will it show 20 minutes later? (a) 5:48 (b) 5:38 (c) 6:38 (d) 5:28
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  18. 18.A clock shows 4:00. What time will it show 36 minutes later? (a) 4:36 (b) 5:36 (c) 4:46 (d) 4:26
  19. 19.How many degrees does the hour hand of a clock turn in 19 minutes? =
  20. 20.A clock shows 9:58. What time will it show 111 minutes later? (a) 11:59 (b) 11:39 (c) 12:49 (d) 11:49
  21. 21.A clock shows 6:24. What time will it show 125 minutes later? (a) 8:29 (b) 8:39 (c) 9:29 (d) 8:19
  22. 22.How many degrees does the minute hand of a clock turn in 54 minutes? =
  23. 23.A clock shows 5:06. What time will it show 125 minutes later? (a) 7:21 (b) 8:11 (c) 7:11 (d) 7:01
  24. 24.How many degrees does the hour hand of a clock turn in 150 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 126 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 127 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 66 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 115 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 45 minutes? =
  33. 33.A clock shows 3:37. What time will it show 129 minutes later? (a) 5:36 (b) 6:46 (c) 5:46 (d) 5:56
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  35. 35.A clock shows 3:11. What time will it show 43 minutes later? (a) 4:54 (b) 4:04 (c) 3:44 (d) 3:54
  36. 36.How many degrees does the minute hand of a clock turn in 2 minutes? =
  37. 37.A clock shows 4:23. What time will it show 150 minutes later? (a) 7:53 (b) 7:03 (c) 6:53 (d) 6:43
  38. 38.How many degrees does the hour hand of a clock turn in 23 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =

Answer key

  1. 65
  2. 4:15
  3. 246
  4. 300
  5. 5:23
  6. 100
  7. 32
  8. 87
  9. 10:18
  10. 71
  11. 98.5
  12. 3:56
  13. 26
  14. 170.5
  15. 42.5
  16. 5:38
  17. 103
  18. 4:36
  19. 9.5
  20. 11:49
  21. 8:29
  22. 324
  23. 7:11
  24. 75
  25. 146.5
  26. 63
  27. 139
  28. 180
  29. 63.5
  30. 33
  31. 57.5
  32. 270
  33. 5:46
  34. 123.5
  35. 3:54
  36. 12
  37. 6:53
  38. 11.5
  39. 161
  40. 139.5

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