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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 231 · 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 8:05? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 47 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 22 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  10. 10.A clock shows 2:52. What time will it show 82 minutes later? (a) 5:14 (b) 4:14 (c) 4:24 (d) 4:04
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  12. 12.A clock shows 1:38. What time will it show 49 minutes later? (a) 2:17 (b) 2:27 (c) 2:37 (d) 3:27
  13. 13.A clock shows 5:20. What time will it show 132 minutes later? (a) 8:32 (b) 7:22 (c) 7:32 (d) 7:42
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  16. 16.A clock shows 1:29. What time will it show 36 minutes later? (a) 1:55 (b) 2:15 (c) 3:05 (d) 2:05
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 49 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  20. 20.A clock shows 7:47. What time will it show 81 minutes later? (a) 10:08 (b) 8:58 (c) 9:18 (d) 9:08
  21. 21.A clock shows 6:00. What time will it show 59 minutes later? (a) 7:09 (b) 6:49 (c) 6:59 (d) 7:59
  22. 22.A clock shows 4:11. What time will it show 99 minutes later? (a) 5:40 (b) 5:50 (c) 6:50 (d) 6:00
  23. 23.How many degrees does the hour hand of a clock turn in 34 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  26. 26.A clock shows 3:18. What time will it show 58 minutes later? (a) 5:16 (b) 4:16 (c) 4:26 (d) 4:06
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 112 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 44 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 50 minutes? =
  32. 32.A clock shows 3:28. What time will it show 48 minutes later? (a) 4:26 (b) 4:06 (c) 5:16 (d) 4:16
  33. 33.A clock shows 3:44. What time will it show 66 minutes later? (a) 5:50 (b) 5:00 (c) 4:40 (d) 4:50
  34. 34.A clock shows 8:21. What time will it show 30 minutes later? (a) 9:51 (b) 8:41 (c) 9:01 (d) 8:51
  35. 35.A clock shows 7:21. What time will it show 54 minutes later? (a) 8:25 (b) 9:15 (c) 8:15 (d) 8:05
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  37. 37.A clock shows 11:09. What time will it show 14 minutes later? (a) 11:33 (b) 12:23 (c) 11:23 (d) 11:13
  38. 38.How many degrees does the hour hand of a clock turn in 180 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =

Answer key

  1. 147.5
  2. 282
  3. 156.5
  4. 26.5
  5. 132
  6. 156
  7. 149
  8. 141
  9. 29.5
  10. 4:14
  11. 11.5
  12. 2:27
  13. 7:32
  14. 176.5
  15. 161.5
  16. 2:05
  17. 160.5
  18. 294
  19. 97
  20. 9:08
  21. 6:59
  22. 5:50
  23. 17
  24. 48
  25. 38
  26. 4:16
  27. 5
  28. 166
  29. 56
  30. 264
  31. 25
  32. 4:16
  33. 4:50
  34. 8:51
  35. 8:15
  36. 63.5
  37. 11:23
  38. 90
  39. 4.5
  40. 155.5

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