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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 263 · 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. 1.123456789 × 8 + 9 =
  2. 2.11 × 11 =
  3. 3.1111 × 1111 =
  4. 4.12345 × 8 + 5 =
  5. 5.123456 × 9 + 7 =
  6. 6.123 × 8 + 3 =
  7. 7.37 × 18 =
  8. 8.12345679 × 63 =
  9. 9.12345679 × 36 =
  10. 10.111 × 111 =
  11. 11.12345679 × 81 =
  12. 12.12 × 9 + 3 =
  13. 13.37 × 12 =
  14. 14.123 × 9 + 4 =
  15. 15.12345679 × 54 =
  16. 16.12345678 × 8 + 8 =
  17. 17.12345679 × 72 =
  18. 18.1234567 × 9 + 8 =
  19. 19.1234 × 9 + 5 =
  20. 20.37 × 6 =
  21. 21.123456 × 8 + 6 =
  22. 22.1234567 × 8 + 7 =
  23. 23.11111 × 11111 =
  24. 24.12345679 × 27 =
  25. 25.12345679 × 45 =
  26. 26.12 × 8 + 2 =
  27. 27.12345679 × 9 =
  28. 28.111111 × 111111 =
  29. 29.12345678 × 9 + 9 =
  30. 30.123456 × 9 + 7 =
  31. 31.37 × 9 =
  32. 32.12345679 × 18 =
  33. 33.37 × 27 =
  34. 34.12345 × 9 + 6 =
  35. 35.37 × 18 =
  36. 36.37 × 21 =
  37. 37.37 × 3 =
  38. 38.1234 × 8 + 4 =
  39. 39.37 × 6 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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