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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 223 · 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 × 36 =
  2. 2.1111 × 1111 =
  3. 3.11111 × 11111 =
  4. 4.1234 × 8 + 4 =
  5. 5.11 × 11 =
  6. 6.111 × 111 =
  7. 7.12345678 × 8 + 8 =
  8. 8.1234567 × 9 + 8 =
  9. 9.123 × 8 + 3 =
  10. 10.12345679 × 18 =
  11. 11.37 × 9 =
  12. 12.12345 × 9 + 6 =
  13. 13.123 × 9 + 4 =
  14. 14.37 × 18 =
  15. 15.12 × 9 + 3 =
  16. 16.37 × 12 =
  17. 17.37 × 27 =
  18. 18.12345679 × 54 =
  19. 19.37 × 3 =
  20. 20.12 × 8 + 2 =
  21. 21.12345678 × 9 + 9 =
  22. 22.123456 × 9 + 7 =
  23. 23.123456789 × 8 + 9 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 9 =
  26. 26.12345 × 8 + 5 =
  27. 27.37 × 21 =
  28. 28.111111 × 111111 =
  29. 29.37 × 6 =
  30. 30.12345679 × 81 =
  31. 31.1234 × 9 + 5 =
  32. 32.37 × 15 =
  33. 33.12345678 × 9 + 9 =
  34. 34.37 × 24 =
  35. 35.12345679 × 63 =
  36. 36.123456 × 8 + 6 =
  37. 37.12345679 × 27 =
  38. 38.12345679 × 72 =
  39. 39.12345679 × 18 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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