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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 318 · 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 12:18? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 25 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 21 minutes? =
  4. 4.A clock shows 8:14. What time will it show 38 minutes later? (a) 9:52 (b) 8:52 (c) 8:42 (d) 9:02
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  7. 7.A clock shows 8:13. What time will it show 80 minutes later? (a) 10:33 (b) 9:33 (c) 9:43 (d) 9:23
  8. 8.How many degrees does the minute hand of a clock turn in 8 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  11. 11.A clock shows 10:10. What time will it show 136 minutes later? (a) 1:26 (b) 12:26 (c) 12:36 (d) 12:16
  12. 12.A clock shows 12:17. What time will it show 19 minutes later? (a) 12:36 (b) 1:36 (c) 12:26 (d) 12:46
  13. 13.How many degrees does the hour hand of a clock turn in 15 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  15. 15.A clock shows 4:26. What time will it show 143 minutes later? (a) 6:59 (b) 6:49 (c) 7:49 (d) 6:39
  16. 16.A clock shows 4:08. What time will it show 50 minutes later? (a) 5:08 (b) 5:58 (c) 4:58 (d) 4:48
  17. 17.How many degrees does the minute hand of a clock turn in 5 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 135 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  21. 21.A clock shows 11:10. What time will it show 144 minutes later? (a) 2:34 (b) 1:24 (c) 1:34 (d) 1:44
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  23. 23.A clock shows 7:31. What time will it show 20 minutes later? (a) 7:41 (b) 8:01 (c) 7:51 (d) 8:51
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 43 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 17 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 49 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  31. 31.A clock shows 5:50. What time will it show 88 minutes later? (a) 7:08 (b) 7:28 (c) 8:18 (d) 7:18
  32. 32.How many degrees does the hour hand of a clock turn in 163 minutes? =
  33. 33.A clock shows 7:36. What time will it show 163 minutes later? (a) 10:09 (b) 10:29 (c) 11:19 (d) 10:19
  34. 34.A clock shows 11:32. What time will it show 39 minutes later? (a) 12:21 (b) 12:01 (c) 1:11 (d) 12:11
  35. 35.A clock shows 4:39. What time will it show 120 minutes later? (a) 6:49 (b) 6:29 (c) 7:39 (d) 6:39
  36. 36.A clock shows 6:27. What time will it show 18 minutes later? (a) 6:55 (b) 6:35 (c) 6:45 (d) 7:45
  37. 37.How many degrees does the hour hand of a clock turn in 125 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 53 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 42 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =

Answer key

  1. 99
  2. 12.5
  3. 126
  4. 8:52
  5. 178.5
  6. 177
  7. 9:33
  8. 48
  9. 3.5
  10. 173.5
  11. 12:26
  12. 12:36
  13. 7.5
  14. 78.5
  15. 6:49
  16. 4:58
  17. 30
  18. 67.5
  19. 67.5
  20. 168.5
  21. 1:34
  22. 12
  23. 7:51
  24. 57
  25. 21.5
  26. 102
  27. 73
  28. 294
  29. 7.5
  30. 93.5
  31. 7:18
  32. 81.5
  33. 10:19
  34. 12:11
  35. 6:39
  36. 6:45
  37. 62.5
  38. 318
  39. 21
  40. 45

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