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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 231 · 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. 2.12345679 × 63 =
  3. 3.11111 × 11111 =
  4. 4.1111 × 1111 =
  5. 5.37 × 18 =
  6. 6.1234567 × 9 + 8 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345 × 9 + 6 =
  9. 9.12345679 × 9 =
  10. 10.1234 × 8 + 4 =
  11. 11.37 × 3 =
  12. 12.12345679 × 72 =
  13. 13.12345678 × 8 + 8 =
  14. 14.12345679 × 81 =
  15. 15.37 × 12 =
  16. 16.123 × 9 + 4 =
  17. 17.111 × 111 =
  18. 18.12 × 8 + 2 =
  19. 19.12345679 × 18 =
  20. 20.123456 × 9 + 7 =
  21. 21.12345679 × 45 =
  22. 22.123456 × 8 + 6 =
  23. 23.37 × 6 =
  24. 24.12345679 × 27 =
  25. 25.123456789 × 8 + 9 =
  26. 26.11 × 11 =
  27. 27.123 × 8 + 3 =
  28. 28.37 × 21 =
  29. 29.37 × 27 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 54 =
  32. 32.12345678 × 9 + 9 =
  33. 33.37 × 15 =
  34. 34.12 × 9 + 3 =
  35. 35.37 × 9 =
  36. 36.12345679 × 45 =
  37. 37.12345 × 8 + 5 =
  38. 38.37 × 24 =
  39. 39.12 × 8 + 2 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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