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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 172 · 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 140 minutes? =
  2. 2.A clock shows 3:13. What time will it show 159 minutes later? (a) 6:02 (b) 5:42 (c) 5:52 (d) 6:52
  3. 3.A clock shows 8:45. What time will it show 107 minutes later? (a) 10:22 (b) 10:32 (c) 10:42 (d) 11:32
  4. 4.A clock shows 2:18. What time will it show 100 minutes later? (a) 3:58 (b) 4:08 (c) 4:58 (d) 3:48
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 10 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 16 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  13. 13.A clock shows 6:20. What time will it show 39 minutes later? (a) 7:09 (b) 6:59 (c) 7:59 (d) 6:49
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 33 minutes? =
  16. 16.A clock shows 2:27. What time will it show 47 minutes later? (a) 3:04 (b) 3:24 (c) 3:14 (d) 4:14
  17. 17.A clock shows 4:06. What time will it show 62 minutes later? (a) 5:18 (b) 5:08 (c) 6:08 (d) 4:58
  18. 18.How many degrees does the hour hand of a clock turn in 124 minutes? =
  19. 19.A clock shows 2:06. What time will it show 26 minutes later? (a) 2:22 (b) 2:32 (c) 3:32 (d) 2:42
  20. 20.A clock shows 5:29. What time will it show 37 minutes later? (a) 6:16 (b) 7:06 (c) 5:56 (d) 6:06
  21. 21.A clock shows 7:00. What time will it show 106 minutes later? (a) 8:36 (b) 8:46 (c) 8:56 (d) 9:46
  22. 22.A clock shows 4:38. What time will it show 106 minutes later? (a) 6:24 (b) 6:34 (c) 7:24 (d) 6:14
  23. 23.How many degrees does the minute hand of a clock turn in 43 minutes? =
  24. 24.A clock shows 6:20. What time will it show 132 minutes later? (a) 8:32 (b) 8:22 (c) 8:42 (d) 9:32
  25. 25.A clock shows 5:17. What time will it show 14 minutes later? (a) 5:21 (b) 6:31 (c) 5:31 (d) 5:41
  26. 26.A clock shows 7:27. What time will it show 86 minutes later? (a) 9:53 (b) 8:43 (c) 9:03 (d) 8:53
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
  29. 29.A clock shows 9:14. What time will it show 167 minutes later? (a) 1:01 (b) 12:11 (c) 11:51 (d) 12:01
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 2 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  35. 35.A clock shows 11:18. What time will it show 54 minutes later? (a) 12:22 (b) 1:12 (c) 12:02 (d) 12:12
  36. 36.How many degrees does the minute hand of a clock turn in 3 minutes? =
  37. 37.A clock shows 11:08. What time will it show 53 minutes later? (a) 1:01 (b) 11:51 (c) 12:11 (d) 12:01
  38. 38.A clock shows 3:01. What time will it show 57 minutes later? (a) 4:58 (b) 3:48 (c) 3:58 (d) 4:08
  39. 39.A clock shows 8:26. What time will it show 26 minutes later? (a) 9:52 (b) 9:02 (c) 8:52 (d) 8:42
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =

Answer key

  1. 70
  2. 5:52
  3. 10:32
  4. 3:58
  5. 21.5
  6. 60
  7. 96
  8. 20
  9. 95
  10. 94.5
  11. 11.5
  12. 157.5
  13. 6:59
  14. 98.5
  15. 16.5
  16. 3:14
  17. 5:08
  18. 62
  19. 2:32
  20. 6:06
  21. 8:46
  22. 6:24
  23. 258
  24. 8:32
  25. 5:31
  26. 8:53
  27. 133
  28. 88
  29. 12:01
  30. 0.5
  31. 141
  32. 101
  33. 12
  34. 57
  35. 12:12
  36. 18
  37. 12:01
  38. 3:58
  39. 8:52
  40. 7.5

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