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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 810 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.37 × 9 =
  2. 2.12345679 × 36 =
  3. 3.1234 × 9 + 5 =
  4. 4.111111 × 111111 =
  5. 5.11111 × 11111 =
  6. 6.12345 × 8 + 5 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 45 =
  9. 9.12345679 × 54 =
  10. 10.37 × 6 =
  11. 11.37 × 12 =
  12. 12.12 × 9 + 3 =
  13. 13.12345678 × 9 + 9 =
  14. 14.111 × 111 =
  15. 15.1111 × 1111 =
  16. 16.12345 × 9 + 6 =
  17. 17.11 × 11 =
  18. 18.37 × 3 =
  19. 19.37 × 15 =
  20. 20.12345679 × 9 =
  21. 21.12345679 × 18 =
  22. 22.123456 × 8 + 6 =
  23. 23.37 × 27 =
  24. 24.123456789 × 8 + 9 =
  25. 25.37 × 21 =
  26. 26.12345679 × 81 =
  27. 27.12345679 × 27 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 24 =
  30. 30.12345679 × 72 =
  31. 31.12 × 8 + 2 =
  32. 32.12 × 9 + 3 =
  33. 33.1234567 × 9 + 8 =
  34. 34.37 × 18 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12 × 8 + 2 =
  37. 37.12345678 × 8 + 8 =
  38. 38.1234 × 8 + 4 =
  39. 39.123 × 9 + 4 =
  40. 40.37 × 3 =

Answer key

  1. 333
  2. 444444444
  3. 11111
  4. 12345654321
  5. 123454321
  6. 98765
  7. 987
  8. 555555555
  9. 666666666
  10. 222
  11. 444
  12. 111
  13. 111111111
  14. 12321
  15. 1234321
  16. 111111
  17. 121
  18. 111
  19. 555
  20. 111111111
  21. 222222222
  22. 987654
  23. 999
  24. 987654321
  25. 777
  26. 999999999
  27. 333333333
  28. 1111
  29. 888
  30. 888888888
  31. 98
  32. 111
  33. 11111111
  34. 666
  35. 9876543
  36. 98
  37. 98765432
  38. 9876
  39. 1111
  40. 111

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