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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 203 · 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 3:32. What time will it show 164 minutes later? (a) 6:06 (b) 6:26 (c) 7:16 (d) 6:16
  2. 2.A clock shows 12:35. What time will it show 93 minutes later? (a) 1:58 (b) 2:08 (c) 3:08 (d) 2:18
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 135 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 10 minutes? =
  7. 7.A clock shows 7:55. What time will it show 138 minutes later? (a) 11:13 (b) 10:13 (c) 10:03 (d) 10:23
  8. 8.How many degrees does the minute hand of a clock turn in 18 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 35 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 56 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  14. 14.A clock shows 1:17. What time will it show 28 minutes later? (a) 1:55 (b) 2:45 (c) 1:45 (d) 1:35
  15. 15.A clock shows 4:05. What time will it show 158 minutes later? (a) 6:33 (b) 7:43 (c) 6:53 (d) 6:43
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  19. 19.A clock shows 12:32. What time will it show 47 minutes later? (a) 2:19 (b) 1:09 (c) 1:19 (d) 1:29
  20. 20.How many degrees does the minute hand of a clock turn in 25 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  22. 22.A clock shows 1:37. What time will it show 107 minutes later? (a) 3:14 (b) 3:24 (c) 3:34 (d) 4:24
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  24. 24.A clock shows 9:16. What time will it show 85 minutes later? (a) 10:31 (b) 11:41 (c) 10:41 (d) 10:51
  25. 25.A clock shows 4:21. What time will it show 151 minutes later? (a) 6:42 (b) 7:02 (c) 7:52 (d) 6:52
  26. 26.How many degrees does the hour hand of a clock turn in 168 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 104 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  31. 31.A clock shows 3:37. What time will it show 39 minutes later? (a) 5:16 (b) 4:06 (c) 4:16 (d) 4:26
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  33. 33.A clock shows 12:11. What time will it show 62 minutes later? (a) 1:23 (b) 1:13 (c) 1:03 (d) 2:13
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  36. 36.A clock shows 2:45. What time will it show 95 minutes later? (a) 5:20 (b) 4:10 (c) 4:30 (d) 4:20
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 102 minutes? =
  39. 39.A clock shows 10:58. What time will it show 77 minutes later? (a) 1:15 (b) 12:05 (c) 12:25 (d) 12:15
  40. 40.How many degrees does the minute hand of a clock turn in 23 minutes? =

Answer key

  1. 6:16
  2. 2:08
  3. 0.5
  4. 124.5
  5. 67.5
  6. 60
  7. 10:13
  8. 108
  9. 210
  10. 336
  11. 107
  12. 45.5
  13. 0.5
  14. 1:45
  15. 6:43
  16. 65.5
  17. 135.5
  18. 128.5
  19. 1:19
  20. 150
  21. 5
  22. 3:24
  23. 166
  24. 10:41
  25. 6:52
  26. 84
  27. 5
  28. 52
  29. 46
  30. 7
  31. 4:16
  32. 137
  33. 1:13
  34. 59.5
  35. 174
  36. 4:20
  37. 144
  38. 51
  39. 12:15
  40. 138

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