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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 422 · 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 minute hand of a clock turn in 54 minutes? =
  2. 2.A clock shows 9:18. What time will it show 104 minutes later? (a) 12:02 (b) 11:02 (c) 10:52 (d) 11:12
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  4. 4.A clock shows 10:34. What time will it show 153 minutes later? (a) 12:57 (b) 1:17 (c) 1:07 (d) 2:07
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  6. 6.A clock shows 10:17. What time will it show 68 minutes later? (a) 11:25 (b) 11:15 (c) 12:25 (d) 11:35
  7. 7.How many degrees does the hour hand of a clock turn in 109 minutes? =
  8. 8.A clock shows 1:16. What time will it show 41 minutes later? (a) 2:07 (b) 2:57 (c) 1:47 (d) 1:57
  9. 9.How many degrees does the hour hand of a clock turn in 46 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 80 minutes? =
  12. 12.A clock shows 8:00. What time will it show 20 minutes later? (a) 8:10 (b) 8:20 (c) 8:30 (d) 9:20
  13. 13.How many degrees does the hour hand of a clock turn in 73 minutes? =
  14. 14.A clock shows 4:35. What time will it show 94 minutes later? (a) 6:19 (b) 5:59 (c) 6:09 (d) 7:09
  15. 15.A clock shows 4:19. What time will it show 164 minutes later? (a) 7:13 (b) 6:53 (c) 8:03 (d) 7:03
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 20 minutes? =
  20. 20.A clock shows 1:06. What time will it show 109 minutes later? (a) 2:45 (b) 2:55 (c) 3:05 (d) 3:55
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 27 minutes? =
  23. 23.A clock shows 1:06. What time will it show 16 minutes later? (a) 2:22 (b) 1:32 (c) 1:22 (d) 1:12
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 179 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 30 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 84 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 36 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 127 minutes? =
  34. 34.A clock shows 8:45. What time will it show 111 minutes later? (a) 10:36 (b) 10:26 (c) 11:36 (d) 10:46
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 39 minutes? =
  37. 37.A clock shows 3:01. What time will it show 20 minutes later? (a) 3:21 (b) 3:31 (c) 4:21 (d) 3:11
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 39 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 102 minutes? =

Answer key

  1. 324
  2. 11:02
  3. 76.5
  4. 1:07
  5. 89
  6. 11:25
  7. 54.5
  8. 1:57
  9. 23
  10. 121
  11. 40
  12. 8:20
  13. 36.5
  14. 6:09
  15. 7:03
  16. 80.5
  17. 57
  18. 48
  19. 10
  20. 2:55
  21. 14.5
  22. 162
  23. 1:22
  24. 178.5
  25. 89.5
  26. 180
  27. 76
  28. 46
  29. 168.5
  30. 13
  31. 42
  32. 216
  33. 63.5
  34. 10:36
  35. 87
  36. 234
  37. 3:21
  38. 110
  39. 19.5
  40. 51

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