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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 23 · 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 97 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 56 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 148 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 99 minutes? =
  8. 8.A clock shows 2:08. What time will it show 164 minutes later? (a) 4:42 (b) 5:02 (c) 4:52 (d) 5:52
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 6 minutes? =
  12. 12.A clock shows 7:04. What time will it show 93 minutes later? (a) 9:37 (b) 8:37 (c) 8:27 (d) 8:47
  13. 13.How many degrees does the hour hand of a clock turn in 78 minutes? =
  14. 14.A clock shows 3:23. What time will it show 18 minutes later? (a) 3:41 (b) 4:41 (c) 3:31 (d) 3:51
  15. 15.A clock shows 3:07. What time will it show 17 minutes later? (a) 3:34 (b) 3:14 (c) 3:24 (d) 4:24
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 157 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  21. 21.A clock shows 8:17. What time will it show 23 minutes later? (a) 9:40 (b) 8:40 (c) 8:50 (d) 8:30
  22. 22.How many degrees does the minute hand of a clock turn in 45 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 87 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 58 minutes? =
  28. 28.A clock shows 3:39. What time will it show 67 minutes later? (a) 4:46 (b) 4:56 (c) 4:36 (d) 5:46
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 16 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  32. 32.A clock shows 7:13. What time will it show 54 minutes later? (a) 8:07 (b) 8:17 (c) 7:57 (d) 9:07
  33. 33.How many degrees does the minute hand of a clock turn in 8 minutes? =
  34. 34.A clock shows 2:08. What time will it show 42 minutes later? (a) 2:40 (b) 2:50 (c) 3:50 (d) 3:00
  35. 35.A clock shows 2:37. What time will it show 161 minutes later? (a) 5:08 (b) 6:18 (c) 5:18 (d) 5:28
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 23 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 12 minutes? =
  40. 40.A clock shows 11:33. What time will it show 157 minutes later? (a) 2:10 (b) 2:20 (c) 3:10 (d) 2:00

Answer key

  1. 48.5
  2. 117.5
  3. 144.5
  4. 175.5
  5. 336
  6. 74
  7. 49.5
  8. 4:52
  9. 8.5
  10. 58.5
  11. 36
  12. 8:37
  13. 39
  14. 3:41
  15. 3:24
  16. 12
  17. 78.5
  18. 153
  19. 167
  20. 74.5
  21. 8:40
  22. 270
  23. 77.5
  24. 43.5
  25. 140
  26. 67
  27. 348
  28. 4:46
  29. 115
  30. 96
  31. 6.5
  32. 8:07
  33. 48
  34. 2:50
  35. 5:18
  36. 89
  37. 11.5
  38. 30.5
  39. 72
  40. 2:10

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