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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 56 · 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. 1.1111 × 1111 =
  2. 2.123456 × 9 + 7 =
  3. 3.12345 × 8 + 5 =
  4. 4.37 × 6 =
  5. 5.12345679 × 45 =
  6. 6.12345679 × 18 =
  7. 7.37 × 27 =
  8. 8.12345679 × 54 =
  9. 9.123456 × 8 + 6 =
  10. 10.123 × 8 + 3 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 9 =
  13. 13.37 × 24 =
  14. 14.111111 × 111111 =
  15. 15.12 × 9 + 3 =
  16. 16.1234 × 8 + 4 =
  17. 17.123456789 × 8 + 9 =
  18. 18.1234 × 9 + 5 =
  19. 19.37 × 15 =
  20. 20.1234567 × 8 + 7 =
  21. 21.11 × 11 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345 × 9 + 6 =
  24. 24.111 × 111 =
  25. 25.12345679 × 72 =
  26. 26.123 × 9 + 4 =
  27. 27.37 × 21 =
  28. 28.12345678 × 9 + 9 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 36 =
  31. 31.37 × 3 =
  32. 32.12345678 × 8 + 8 =
  33. 33.11111 × 11111 =
  34. 34.12345679 × 63 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 12 =
  37. 37.12345678 × 9 + 9 =
  38. 38.37 × 9 =
  39. 39.1234567 × 9 + 8 =
  40. 40.111111 × 111111 =

Answer key

  1. 1234321
  2. 1111111
  3. 98765
  4. 222
  5. 555555555
  6. 222222222
  7. 999
  8. 666666666
  9. 987654
  10. 987
  11. 999999999
  12. 111111111
  13. 888
  14. 12345654321
  15. 111
  16. 9876
  17. 987654321
  18. 11111
  19. 555
  20. 9876543
  21. 121
  22. 11111111
  23. 111111
  24. 12321
  25. 888888888
  26. 1111
  27. 777
  28. 111111111
  29. 333333333
  30. 444444444
  31. 111
  32. 98765432
  33. 123454321
  34. 777777777
  35. 98
  36. 444
  37. 111111111
  38. 333
  39. 11111111
  40. 12345654321

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