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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 512 · 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 × 9 =
  2. 2.37 × 24 =
  3. 3.37 × 3 =
  4. 4.111 × 111 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 81 =
  7. 7.1234567 × 8 + 7 =
  8. 8.37 × 6 =
  9. 9.12345679 × 72 =
  10. 10.12 × 8 + 2 =
  11. 11.37 × 9 =
  12. 12.1234 × 9 + 5 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 27 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 15 =
  17. 17.1234567 × 9 + 8 =
  18. 18.123 × 9 + 4 =
  19. 19.11111 × 11111 =
  20. 20.12345678 × 9 + 9 =
  21. 21.12345679 × 36 =
  22. 22.12345679 × 18 =
  23. 23.123456 × 9 + 7 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 63 =
  26. 26.37 × 12 =
  27. 27.1234 × 8 + 4 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345678 × 8 + 8 =
  30. 30.11 × 11 =
  31. 31.111111 × 111111 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 18 =
  34. 34.12345679 × 45 =
  35. 35.37 × 21 =
  36. 36.1234567 × 9 + 8 =
  37. 37.111 × 111 =
  38. 38.37 × 27 =
  39. 39.12345679 × 54 =
  40. 40.12345679 × 9 =

Answer key

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

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