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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 341 · 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. 2.12345678 × 8 + 8 =
  3. 3.123456789 × 8 + 9 =
  4. 4.123456 × 8 + 6 =
  5. 5.11 × 11 =
  6. 6.123 × 9 + 4 =
  7. 7.12345679 × 9 =
  8. 8.1111 × 1111 =
  9. 9.12 × 8 + 2 =
  10. 10.37 × 9 =
  11. 11.12345679 × 18 =
  12. 12.12345679 × 81 =
  13. 13.1234567 × 9 + 8 =
  14. 14.111111 × 111111 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 54 =
  18. 18.12345678 × 9 + 9 =
  19. 19.37 × 3 =
  20. 20.12345679 × 63 =
  21. 21.12345679 × 36 =
  22. 22.37 × 18 =
  23. 23.12345679 × 27 =
  24. 24.37 × 24 =
  25. 25.37 × 12 =
  26. 26.111 × 111 =
  27. 27.37 × 27 =
  28. 28.12345 × 8 + 5 =
  29. 29.1234 × 9 + 5 =
  30. 30.37 × 15 =
  31. 31.37 × 21 =
  32. 32.12 × 9 + 3 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 72 =
  35. 35.111111 × 111111 =
  36. 36.12 × 8 + 2 =
  37. 37.111111 × 111111 =
  38. 38.123456 × 9 + 7 =
  39. 39.1234 × 8 + 4 =
  40. 40.111111 × 111111 =

Answer key

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

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