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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 529 · 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. 1.11111 × 11111 =
  2. 2.37 × 21 =
  3. 3.37 × 27 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 9 =
  6. 6.12345679 × 27 =
  7. 7.1234567 × 8 + 7 =
  8. 8.37 × 9 =
  9. 9.12 × 9 + 3 =
  10. 10.12345 × 8 + 5 =
  11. 11.111 × 111 =
  12. 12.37 × 3 =
  13. 13.123456 × 8 + 6 =
  14. 14.1111 × 1111 =
  15. 15.11 × 11 =
  16. 16.37 × 12 =
  17. 17.1234 × 8 + 4 =
  18. 18.1234567 × 9 + 8 =
  19. 19.111111 × 111111 =
  20. 20.123 × 9 + 4 =
  21. 21.12345679 × 45 =
  22. 22.123 × 8 + 3 =
  23. 23.12345679 × 63 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345679 × 54 =
  26. 26.12345679 × 72 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 15 =
  29. 29.12345 × 9 + 6 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345679 × 81 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 36 =
  35. 35.37 × 6 =
  36. 36.37 × 24 =
  37. 37.111 × 111 =
  38. 38.12345679 × 81 =
  39. 39.37 × 18 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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