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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 259 · 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 165 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 45 minutes? =
  3. 3.A clock shows 2:51. What time will it show 107 minutes later? (a) 4:28 (b) 5:38 (c) 4:38 (d) 4:48
  4. 4.How many degrees does the hour hand of a clock turn in 141 minutes? =
  5. 5.A clock shows 5:22. What time will it show 95 minutes later? (a) 6:47 (b) 7:07 (c) 6:57 (d) 7:57
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  7. 7.A clock shows 7:17. What time will it show 105 minutes later? (a) 10:02 (b) 9:12 (c) 8:52 (d) 9:02
  8. 8.How many degrees does the minute hand of a clock turn in 9 minutes? =
  9. 9.A clock shows 10:41. What time will it show 51 minutes later? (a) 11:32 (b) 11:42 (c) 11:22 (d) 12:32
  10. 10.How many degrees does the hour hand of a clock turn in 88 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 15 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  13. 13.A clock shows 1:43. What time will it show 105 minutes later? (a) 3:38 (b) 3:18 (c) 3:28 (d) 4:28
  14. 14.A clock shows 4:10. What time will it show 170 minutes later? (a) 6:50 (b) 7:00 (c) 8:00 (d) 7:10
  15. 15.How many degrees does the hour hand of a clock turn in 76 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 158 minutes? =
  17. 17.A clock shows 9:14. What time will it show 35 minutes later? (a) 9:59 (b) 10:49 (c) 9:49 (d) 9:39
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  20. 20.A clock shows 10:14. What time will it show 163 minutes later? (a) 12:47 (b) 1:07 (c) 1:57 (d) 12:57
  21. 21.How many degrees does the hour hand of a clock turn in 47 minutes? =
  22. 22.A clock shows 3:44. What time will it show 58 minutes later? (a) 5:42 (b) 4:42 (c) 4:52 (d) 4:32
  23. 23.How many degrees does the hour hand of a clock turn in 166 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 10 minutes? =
  27. 27.A clock shows 3:01. What time will it show 13 minutes later? (a) 4:14 (b) 3:24 (c) 3:14 (d) 3:04
  28. 28.A clock shows 12:56. What time will it show 72 minutes later? (a) 3:08 (b) 2:18 (c) 1:58 (d) 2:08
  29. 29.How many degrees does the hour hand of a clock turn in 133 minutes? =
  30. 30.A clock shows 1:29. What time will it show 160 minutes later? (a) 4:09 (b) 4:19 (c) 5:09 (d) 3:59
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  32. 32.A clock shows 11:19. What time will it show 158 minutes later? (a) 2:07 (b) 1:47 (c) 2:57 (d) 1:57
  33. 33.How many degrees does the hour hand of a clock turn in 36 minutes? =
  34. 34.A clock shows 8:57. What time will it show 42 minutes later? (a) 9:49 (b) 9:29 (c) 10:39 (d) 9:39
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 41 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 38 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 20 minutes? =
  39. 39.A clock shows 6:26. What time will it show 63 minutes later? (a) 7:29 (b) 8:29 (c) 7:19 (d) 7:39
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =

Answer key

  1. 82.5
  2. 270
  3. 4:38
  4. 70.5
  5. 6:57
  6. 2
  7. 9:02
  8. 54
  9. 11:32
  10. 44
  11. 7.5
  12. 20
  13. 3:28
  14. 7:00
  15. 38
  16. 79
  17. 9:49
  18. 91.5
  19. 122.5
  20. 12:57
  21. 23.5
  22. 4:42
  23. 83
  24. 60.5
  25. 175
  26. 60
  27. 3:14
  28. 2:08
  29. 66.5
  30. 4:09
  31. 168.5
  32. 1:57
  33. 18
  34. 9:39
  35. 35
  36. 20.5
  37. 19
  38. 120
  39. 7:29
  40. 28.5

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