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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 559 · 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. 1.12345678 × 9 + 9 =
  2. 2.12 × 9 + 3 =
  3. 3.37 × 18 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 18 =
  6. 6.37 × 27 =
  7. 7.123 × 9 + 4 =
  8. 8.12345679 × 63 =
  9. 9.12345679 × 81 =
  10. 10.12345679 × 72 =
  11. 11.37 × 21 =
  12. 12.123456 × 9 + 7 =
  13. 13.37 × 3 =
  14. 14.11 × 11 =
  15. 15.123 × 8 + 3 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345679 × 45 =
  18. 18.37 × 15 =
  19. 19.1111 × 1111 =
  20. 20.111111 × 111111 =
  21. 21.1234567 × 8 + 7 =
  22. 22.37 × 12 =
  23. 23.123456789 × 8 + 9 =
  24. 24.37 × 24 =
  25. 25.1234 × 8 + 4 =
  26. 26.111 × 111 =
  27. 27.12345679 × 9 =
  28. 28.12345679 × 54 =
  29. 29.12345678 × 8 + 8 =
  30. 30.37 × 9 =
  31. 31.11111 × 11111 =
  32. 32.12345 × 8 + 5 =
  33. 33.37 × 6 =
  34. 34.123 × 9 + 4 =
  35. 35.12345679 × 36 =
  36. 36.1234 × 9 + 5 =
  37. 37.12345679 × 63 =
  38. 38.12345679 × 27 =
  39. 39.123 × 8 + 3 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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