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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 391 · 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 12:44? (in degrees) =
  2. 2.A clock shows 11:37. What time will it show 22 minutes later? (a) 12:59 (b) 11:49 (c) 11:59 (d) 12:09
  3. 3.A clock shows 7:31. What time will it show 89 minutes later? (a) 10:00 (b) 8:50 (c) 9:00 (d) 9:10
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 44 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 54 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 43 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 150 minutes? =
  11. 11.A clock shows 11:58. What time will it show 100 minutes later? (a) 1:28 (b) 1:48 (c) 1:38 (d) 2:38
  12. 12.How many degrees does the minute hand of a clock turn in 4 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 49 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 36 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 45 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 54 minutes? =
  18. 18.A clock shows 4:36. What time will it show 120 minutes later? (a) 6:46 (b) 7:36 (c) 6:26 (d) 6:36
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  20. 20.A clock shows 5:39. What time will it show 154 minutes later? (a) 8:03 (b) 9:13 (c) 8:13 (d) 8:23
  21. 21.A clock shows 5:13. What time will it show 11 minutes later? (a) 6:24 (b) 5:34 (c) 5:14 (d) 5:24
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 38 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  25. 25.A clock shows 6:25. What time will it show 49 minutes later? (a) 7:24 (b) 8:14 (c) 7:14 (d) 7:04
  26. 26.How many degrees does the minute hand of a clock turn in 57 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  28. 28.A clock shows 6:31. What time will it show 106 minutes later? (a) 8:27 (b) 9:17 (c) 8:17 (d) 8:07
  29. 29.How many degrees does the hour hand of a clock turn in 146 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  31. 31.A clock shows 3:15. What time will it show 152 minutes later? (a) 5:37 (b) 6:47 (c) 5:47 (d) 5:57
  32. 32.A clock shows 1:25. What time will it show 24 minutes later? (a) 1:39 (b) 1:49 (c) 2:49 (d) 1:59
  33. 33.A clock shows 12:42. What time will it show 132 minutes later? (a) 3:04 (b) 2:54 (c) 3:54 (d) 2:44
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  35. 35.A clock shows 8:26. What time will it show 121 minutes later? (a) 10:37 (b) 11:27 (c) 10:27 (d) 10:17
  36. 36.A clock shows 12:39. What time will it show 161 minutes later? (a) 3:30 (b) 4:20 (c) 3:20 (d) 3:10
  37. 37.A clock shows 8:51. What time will it show 39 minutes later? (a) 10:30 (b) 9:30 (c) 9:40 (d) 9:20
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  39. 39.A clock shows 8:15. What time will it show 35 minutes later? (a) 9:50 (b) 8:50 (c) 9:00 (d) 8:40
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =

Answer key

  1. 118
  2. 11:59
  3. 9:00
  4. 102.5
  5. 114
  6. 264
  7. 3.5
  8. 324
  9. 21.5
  10. 75
  11. 1:38
  12. 24
  13. 24.5
  14. 18
  15. 270
  16. 154
  17. 27
  18. 6:36
  19. 115
  20. 8:13
  21. 5:24
  22. 51.5
  23. 19
  24. 0
  25. 7:14
  26. 342
  27. 166
  28. 8:17
  29. 73
  30. 91.5
  31. 5:47
  32. 1:49
  33. 2:54
  34. 55
  35. 10:27
  36. 3:20
  37. 9:30
  38. 141
  39. 8:50
  40. 94.5

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