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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 109 · 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 1:16. What time will it show 48 minutes later? (a) 1:54 (b) 2:14 (c) 3:04 (d) 2:04
  2. 2.How many degrees does the hour hand of a clock turn in 141 minutes? =
  3. 3.A clock shows 12:06. What time will it show 61 minutes later? (a) 1:17 (b) 2:07 (c) 1:07 (d) 12:57
  4. 4.How many degrees does the minute hand of a clock turn in 21 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 15 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 163 minutes? =
  8. 8.A clock shows 4:35. What time will it show 40 minutes later? (a) 6:15 (b) 5:25 (c) 5:15 (d) 5:05
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 39 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 36 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 13 minutes? =
  15. 15.A clock shows 6:41. What time will it show 165 minutes later? (a) 9:36 (b) 9:16 (c) 10:26 (d) 9:26
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  17. 17.A clock shows 1:10. What time will it show 143 minutes later? (a) 4:33 (b) 3:43 (c) 3:33 (d) 3:23
  18. 18.How many degrees does the hour hand of a clock turn in 50 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  21. 21.A clock shows 12:31. What time will it show 53 minutes later? (a) 2:24 (b) 1:34 (c) 1:24 (d) 1:14
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  23. 23.A clock shows 9:33. What time will it show 63 minutes later? (a) 10:36 (b) 10:26 (c) 11:36 (d) 10:46
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  25. 25.A clock shows 11:08. What time will it show 88 minutes later? (a) 12:26 (b) 12:46 (c) 1:36 (d) 12:36
  26. 26.How many degrees does the minute hand of a clock turn in 31 minutes? =
  27. 27.A clock shows 11:00. What time will it show 144 minutes later? (a) 1:34 (b) 1:24 (c) 1:14 (d) 2:24
  28. 28.How many degrees does the hour hand of a clock turn in 66 minutes? =
  29. 29.A clock shows 5:17. What time will it show 39 minutes later? (a) 6:56 (b) 6:06 (c) 5:46 (d) 5:56
  30. 30.How many degrees does the minute hand of a clock turn in 9 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 137 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 3 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 162 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 48 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  40. 40.A clock shows 7:09. What time will it show 75 minutes later? (a) 9:24 (b) 8:34 (c) 8:14 (d) 8:24

Answer key

  1. 2:04
  2. 70.5
  3. 1:07
  4. 126
  5. 90
  6. 62
  7. 81.5
  8. 5:15
  9. 178.5
  10. 234
  11. 18.5
  12. 75.5
  13. 216
  14. 78
  15. 9:26
  16. 149
  17. 3:33
  18. 25
  19. 52.5
  20. 94
  21. 1:24
  22. 18
  23. 10:36
  24. 112.5
  25. 12:36
  26. 186
  27. 1:24
  28. 33
  29. 5:56
  30. 54
  31. 47
  32. 68.5
  33. 171.5
  34. 18
  35. 81
  36. 288
  37. 20
  38. 63
  39. 14.5
  40. 8:24

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