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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 437 · 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 × 9 + 8 =
  2. 2.12345679 × 81 =
  3. 3.12345679 × 9 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 45 =
  6. 6.111111 × 111111 =
  7. 7.123456789 × 8 + 9 =
  8. 8.1111 × 1111 =
  9. 9.1234 × 9 + 5 =
  10. 10.1234 × 8 + 4 =
  11. 11.12345679 × 54 =
  12. 12.37 × 3 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 27 =
  15. 15.12345679 × 18 =
  16. 16.37 × 15 =
  17. 17.11 × 11 =
  18. 18.12345679 × 63 =
  19. 19.12345678 × 9 + 9 =
  20. 20.12 × 9 + 3 =
  21. 21.12345 × 8 + 5 =
  22. 22.12345679 × 27 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 9 =
  25. 25.12345679 × 72 =
  26. 26.123 × 9 + 4 =
  27. 27.37 × 12 =
  28. 28.37 × 6 =
  29. 29.37 × 21 =
  30. 30.123 × 8 + 3 =
  31. 31.12345679 × 36 =
  32. 32.123456 × 9 + 7 =
  33. 33.37 × 18 =
  34. 34.111 × 111 =
  35. 35.12345678 × 8 + 8 =
  36. 36.1234567 × 8 + 7 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12345 × 9 + 6 =
  39. 39.123 × 9 + 4 =
  40. 40.11 × 11 =

Answer key

  1. 11111111
  2. 999999999
  3. 111111111
  4. 123454321
  5. 555555555
  6. 12345654321
  7. 987654321
  8. 1234321
  9. 11111
  10. 9876
  11. 666666666
  12. 111
  13. 98
  14. 999
  15. 222222222
  16. 555
  17. 121
  18. 777777777
  19. 111111111
  20. 111
  21. 98765
  22. 333333333
  23. 987654
  24. 333
  25. 888888888
  26. 1111
  27. 444
  28. 222
  29. 777
  30. 987
  31. 444444444
  32. 1111111
  33. 666
  34. 12321
  35. 98765432
  36. 9876543
  37. 987654321
  38. 111111
  39. 1111
  40. 121

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