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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 672 · 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. 1.111111 × 111111 =
  2. 2.12345 × 8 + 5 =
  3. 3.123456 × 8 + 6 =
  4. 4.123 × 9 + 4 =
  5. 5.11111 × 11111 =
  6. 6.37 × 6 =
  7. 7.12345679 × 63 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345679 × 72 =
  10. 10.37 × 27 =
  11. 11.12345678 × 8 + 8 =
  12. 12.1234567 × 8 + 7 =
  13. 13.37 × 9 =
  14. 14.123456789 × 8 + 9 =
  15. 15.111 × 111 =
  16. 16.12345 × 9 + 6 =
  17. 17.37 × 12 =
  18. 18.12345679 × 27 =
  19. 19.37 × 15 =
  20. 20.12345679 × 9 =
  21. 21.123 × 8 + 3 =
  22. 22.37 × 18 =
  23. 23.12345679 × 81 =
  24. 24.12 × 8 + 2 =
  25. 25.12 × 9 + 3 =
  26. 26.12345679 × 45 =
  27. 27.1111 × 1111 =
  28. 28.1234567 × 9 + 8 =
  29. 29.37 × 24 =
  30. 30.37 × 21 =
  31. 31.1234 × 9 + 5 =
  32. 32.11 × 11 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345679 × 36 =
  35. 35.37 × 3 =
  36. 36.12345679 × 54 =
  37. 37.12345678 × 9 + 9 =
  38. 38.12345679 × 54 =
  39. 39.12345679 × 18 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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