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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 432 · 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. 2.1234567 × 9 + 8 =
  3. 3.37 × 3 =
  4. 4.12345679 × 36 =
  5. 5.12345679 × 27 =
  6. 6.12345679 × 45 =
  7. 7.123456789 × 8 + 9 =
  8. 8.111111 × 111111 =
  9. 9.111 × 111 =
  10. 10.12345 × 9 + 6 =
  11. 11.37 × 24 =
  12. 12.12345679 × 18 =
  13. 13.123 × 9 + 4 =
  14. 14.12345679 × 63 =
  15. 15.1111 × 1111 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 54 =
  18. 18.37 × 18 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 9 =
  21. 21.12345679 × 72 =
  22. 22.37 × 9 =
  23. 23.12 × 8 + 2 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345 × 8 + 5 =
  26. 26.12345678 × 9 + 9 =
  27. 27.123456 × 8 + 6 =
  28. 28.11 × 11 =
  29. 29.11111 × 11111 =
  30. 30.37 × 12 =
  31. 31.37 × 21 =
  32. 32.37 × 27 =
  33. 33.12345679 × 81 =
  34. 34.123 × 8 + 3 =
  35. 35.37 × 6 =
  36. 36.37 × 15 =
  37. 37.12345679 × 27 =
  38. 38.1234 × 8 + 4 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345679 × 81 =

Answer key

  1. 9876543
  2. 11111111
  3. 111
  4. 444444444
  5. 333333333
  6. 555555555
  7. 987654321
  8. 12345654321
  9. 12321
  10. 111111
  11. 888
  12. 222222222
  13. 1111
  14. 777777777
  15. 1234321
  16. 11111
  17. 666666666
  18. 666
  19. 111
  20. 111111111
  21. 888888888
  22. 333
  23. 98
  24. 1111111
  25. 98765
  26. 111111111
  27. 987654
  28. 121
  29. 123454321
  30. 444
  31. 777
  32. 999
  33. 999999999
  34. 987
  35. 222
  36. 555
  37. 333333333
  38. 9876
  39. 987654321
  40. 999999999

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