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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 431 · 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. 1.1234567 × 8 + 7 =
  2. 2.1111 × 1111 =
  3. 3.12345679 × 27 =
  4. 4.37 × 24 =
  5. 5.111 × 111 =
  6. 6.123 × 9 + 4 =
  7. 7.11 × 11 =
  8. 8.12345679 × 54 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 72 =
  11. 11.11111 × 11111 =
  12. 12.12 × 8 + 2 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345678 × 8 + 8 =
  15. 15.12345679 × 45 =
  16. 16.12345679 × 63 =
  17. 17.37 × 3 =
  18. 18.12345679 × 18 =
  19. 19.37 × 12 =
  20. 20.37 × 6 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 15 =
  24. 24.1234 × 9 + 5 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345679 × 36 =
  27. 27.12 × 9 + 3 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 9 =
  30. 30.12345679 × 9 =
  31. 31.37 × 27 =
  32. 32.12345679 × 81 =
  33. 33.12345 × 8 + 5 =
  34. 34.37 × 21 =
  35. 35.37 × 18 =
  36. 36.123 × 9 + 4 =
  37. 37.12345679 × 27 =
  38. 38.1234567 × 9 + 8 =
  39. 39.123 × 8 + 3 =
  40. 40.12345679 × 81 =

Answer key

  1. 9876543
  2. 1234321
  3. 333333333
  4. 888
  5. 12321
  6. 1111
  7. 121
  8. 666666666
  9. 987654321
  10. 888888888
  11. 123454321
  12. 98
  13. 987654
  14. 98765432
  15. 555555555
  16. 777777777
  17. 111
  18. 222222222
  19. 444
  20. 222
  21. 1111111
  22. 111111
  23. 555
  24. 11111
  25. 9876
  26. 444444444
  27. 111
  28. 111111111
  29. 333
  30. 111111111
  31. 999
  32. 999999999
  33. 98765
  34. 777
  35. 666
  36. 1111
  37. 333333333
  38. 11111111
  39. 987
  40. 999999999

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