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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 798 · 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 1:42. What time will it show 103 minutes later? (a) 3:25 (b) 4:25 (c) 3:15 (d) 3:35
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 23 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  7. 7.A clock shows 8:06. What time will it show 99 minutes later? (a) 9:55 (b) 10:45 (c) 9:35 (d) 9:45
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  9. 9.A clock shows 3:04. What time will it show 42 minutes later? (a) 3:36 (b) 3:46 (c) 4:46 (d) 3:56
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 3 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  16. 16.A clock shows 6:35. What time will it show 125 minutes later? (a) 8:30 (b) 8:40 (c) 8:50 (d) 9:40
  17. 17.A clock shows 1:04. What time will it show 27 minutes later? (a) 1:31 (b) 1:21 (c) 1:41 (d) 2:31
  18. 18.A clock shows 1:46. What time will it show 79 minutes later? (a) 2:55 (b) 3:15 (c) 3:05 (d) 4:05
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 50 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 37 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 169 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 25 minutes? =
  24. 24.A clock shows 12:15. What time will it show 50 minutes later? (a) 2:05 (b) 1:05 (c) 1:15 (d) 12:55
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 14 minutes? =
  27. 27.A clock shows 6:34. What time will it show 68 minutes later? (a) 8:42 (b) 7:32 (c) 7:52 (d) 7:42
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 39 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 45 minutes? =
  31. 31.A clock shows 9:31. What time will it show 124 minutes later? (a) 12:35 (b) 11:45 (c) 11:35 (d) 11:25
  32. 32.A clock shows 3:25. What time will it show 56 minutes later? (a) 4:11 (b) 5:21 (c) 4:21 (d) 4:31
  33. 33.How many degrees does the hour hand of a clock turn in 68 minutes? =
  34. 34.A clock shows 7:28. What time will it show 63 minutes later? (a) 8:41 (b) 8:31 (c) 9:31 (d) 8:21
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  40. 40.A clock shows 6:04. What time will it show 22 minutes later? (a) 7:26 (b) 6:36 (c) 6:26 (d) 6:16

Answer key

  1. 3:25
  2. 156.5
  3. 11.5
  4. 85
  5. 36
  6. 42
  7. 9:45
  8. 92.5
  9. 3:46
  10. 88.5
  11. 131.5
  12. 141
  13. 177.5
  14. 18
  15. 112.5
  16. 8:40
  17. 1:31
  18. 3:05
  19. 107.5
  20. 300
  21. 222
  22. 84.5
  23. 150
  24. 1:05
  25. 100.5
  26. 7
  27. 7:42
  28. 38
  29. 234
  30. 270
  31. 11:35
  32. 4:21
  33. 34
  34. 8:31
  35. 7.5
  36. 54
  37. 176.5
  38. 109
  39. 39
  40. 6:26

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