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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 827 · 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. 1.12345679 × 27 =
  2. 2.12345679 × 45 =
  3. 3.12345679 × 63 =
  4. 4.12345678 × 9 + 9 =
  5. 5.37 × 9 =
  6. 6.1111 × 1111 =
  7. 7.111 × 111 =
  8. 8.37 × 3 =
  9. 9.12345679 × 72 =
  10. 10.123456 × 8 + 6 =
  11. 11.11 × 11 =
  12. 12.12 × 8 + 2 =
  13. 13.37 × 27 =
  14. 14.12 × 9 + 3 =
  15. 15.1234 × 8 + 4 =
  16. 16.37 × 21 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345679 × 18 =
  19. 19.37 × 15 =
  20. 20.12345679 × 54 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 36 =
  23. 23.123 × 9 + 4 =
  24. 24.37 × 24 =
  25. 25.12345679 × 9 =
  26. 26.1234567 × 9 + 8 =
  27. 27.37 × 6 =
  28. 28.12345 × 9 + 6 =
  29. 29.12345679 × 81 =
  30. 30.37 × 18 =
  31. 31.123 × 8 + 3 =
  32. 32.11111 × 11111 =
  33. 33.12345678 × 8 + 8 =
  34. 34.1234567 × 8 + 7 =
  35. 35.111111 × 111111 =
  36. 36.12345678 × 8 + 8 =
  37. 37.37 × 12 =
  38. 38.1111 × 1111 =
  39. 39.12345 × 8 + 5 =
  40. 40.1234 × 9 + 5 =

Answer key

  1. 333333333
  2. 555555555
  3. 777777777
  4. 111111111
  5. 333
  6. 1234321
  7. 12321
  8. 111
  9. 888888888
  10. 987654
  11. 121
  12. 98
  13. 999
  14. 111
  15. 9876
  16. 777
  17. 1111111
  18. 222222222
  19. 555
  20. 666666666
  21. 987654321
  22. 444444444
  23. 1111
  24. 888
  25. 111111111
  26. 11111111
  27. 222
  28. 111111
  29. 999999999
  30. 666
  31. 987
  32. 123454321
  33. 98765432
  34. 9876543
  35. 12345654321
  36. 98765432
  37. 444
  38. 1234321
  39. 98765
  40. 11111

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