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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 10 · 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 5:23? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 78 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 19 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 15 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  8. 8.A clock shows 1:39. What time will it show 32 minutes later? (a) 2:01 (b) 2:21 (c) 2:11 (d) 3:11
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
  11. 11.A clock shows 3:11. What time will it show 150 minutes later? (a) 5:41 (b) 5:51 (c) 6:41 (d) 5:31
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  13. 13.A clock shows 3:32. What time will it show 121 minutes later? (a) 5:43 (b) 5:23 (c) 5:33 (d) 6:33
  14. 14.A clock shows 9:37. What time will it show 157 minutes later? (a) 12:04 (b) 1:14 (c) 12:14 (d) 12:24
  15. 15.A clock shows 3:24. What time will it show 52 minutes later? (a) 4:16 (b) 5:16 (c) 4:26 (d) 4:06
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 57 minutes? =
  18. 18.A clock shows 11:22. What time will it show 97 minutes later? (a) 12:59 (b) 12:49 (c) 1:09 (d) 1:59
  19. 19.A clock shows 2:58. What time will it show 105 minutes later? (a) 5:43 (b) 4:33 (c) 4:43 (d) 4:53
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  21. 21.A clock shows 4:57. What time will it show 116 minutes later? (a) 7:53 (b) 6:43 (c) 7:03 (d) 6:53
  22. 22.A clock shows 7:38. What time will it show 73 minutes later? (a) 9:01 (b) 9:51 (c) 8:51 (d) 8:41
  23. 23.How many degrees does the hour hand of a clock turn in 11 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  25. 25.A clock shows 7:10. What time will it show 155 minutes later? (a) 9:45 (b) 9:35 (c) 9:55 (d) 10:45
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  28. 28.A clock shows 7:13. What time will it show 50 minutes later? (a) 8:13 (b) 7:53 (c) 9:03 (d) 8:03
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  31. 31.A clock shows 3:50. What time will it show 110 minutes later? (a) 5:50 (b) 5:40 (c) 6:40 (d) 5:30
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 31 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  35. 35.A clock shows 7:55. What time will it show 44 minutes later? (a) 8:49 (b) 9:39 (c) 8:29 (d) 8:39
  36. 36.How many degrees does the hour hand of a clock turn in 175 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 45 minutes? =
  38. 38.A clock shows 6:05. What time will it show 138 minutes later? (a) 9:23 (b) 8:13 (c) 8:23 (d) 8:33
  39. 39.How many degrees does the hour hand of a clock turn in 124 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =

Answer key

  1. 23.5
  2. 39
  3. 114
  4. 90
  5. 38
  6. 148
  7. 26.5
  8. 2:11
  9. 109.5
  10. 7.5
  11. 5:41
  12. 8.5
  13. 5:33
  14. 12:14
  15. 4:16
  16. 83
  17. 342
  18. 12:59
  19. 4:43
  20. 67.5
  21. 6:53
  22. 8:51
  23. 5.5
  24. 47.5
  25. 9:45
  26. 25
  27. 163.5
  28. 8:03
  29. 39.5
  30. 27.5
  31. 5:40
  32. 11.5
  33. 15.5
  34. 10.5
  35. 8:39
  36. 87.5
  37. 22.5
  38. 8:23
  39. 62
  40. 156.5

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