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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 208 · 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 8:39? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 92 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  4. 4.A clock shows 7:20. What time will it show 45 minutes later? (a) 8:05 (b) 8:15 (c) 7:55 (d) 9:05
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  7. 7.A clock shows 12:02. What time will it show 68 minutes later? (a) 1:10 (b) 2:10 (c) 1:20 (d) 1:00
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  10. 10.A clock shows 9:03. What time will it show 19 minutes later? (a) 10:22 (b) 9:32 (c) 9:12 (d) 9:22
  11. 11.A clock shows 10:49. What time will it show 37 minutes later? (a) 12:26 (b) 11:16 (c) 11:26 (d) 11:36
  12. 12.How many degrees does the hour hand of a clock turn in 145 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 21 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  15. 15.A clock shows 5:19. What time will it show 126 minutes later? (a) 7:35 (b) 7:15 (c) 8:25 (d) 7:25
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 97 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 176 minutes? =
  19. 19.A clock shows 4:29. What time will it show 151 minutes later? (a) 8:00 (b) 6:50 (c) 7:00 (d) 7:10
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 10 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  23. 23.A clock shows 11:46. What time will it show 58 minutes later? (a) 1:44 (b) 12:44 (c) 12:54 (d) 12:34
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 12 minutes? =
  28. 28.A clock shows 8:53. What time will it show 147 minutes later? (a) 11:10 (b) 11:30 (c) 12:20 (d) 11:20
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 44 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 27 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 49 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 16 minutes? =
  38. 38.A clock shows 6:56. What time will it show 40 minutes later? (a) 8:36 (b) 7:46 (c) 7:36 (d) 7:26
  39. 39.A clock shows 1:28. What time will it show 77 minutes later? (a) 2:45 (b) 2:35 (c) 2:55 (d) 3:45
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =

Answer key

  1. 25.5
  2. 46
  3. 106
  4. 8:05
  5. 34
  6. 150.5
  7. 1:10
  8. 51
  9. 8
  10. 9:22
  11. 11:26
  12. 72.5
  13. 126
  14. 163.5
  15. 7:25
  16. 110.5
  17. 48.5
  18. 88
  19. 7:00
  20. 110
  21. 5
  22. 80.5
  23. 12:44
  24. 8.5
  25. 134
  26. 94.5
  27. 72
  28. 11:20
  29. 107.5
  30. 264
  31. 165.5
  32. 165
  33. 75
  34. 162
  35. 18
  36. 294
  37. 8
  38. 7:36
  39. 2:45
  40. 111

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