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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 421 · 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. 1.123456789 × 8 + 9 =
  2. 2.12 × 8 + 2 =
  3. 3.1234 × 9 + 5 =
  4. 4.12 × 9 + 3 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 18 =
  7. 7.37 × 24 =
  8. 8.12345679 × 27 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 45 =
  11. 11.12345679 × 72 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345679 × 54 =
  15. 15.37 × 12 =
  16. 16.12345679 × 63 =
  17. 17.12345679 × 9 =
  18. 18.11 × 11 =
  19. 19.37 × 21 =
  20. 20.123456 × 8 + 6 =
  21. 21.1234567 × 8 + 7 =
  22. 22.37 × 27 =
  23. 23.123456 × 9 + 7 =
  24. 24.111 × 111 =
  25. 25.123 × 8 + 3 =
  26. 26.1234 × 8 + 4 =
  27. 27.12345679 × 36 =
  28. 28.11111 × 11111 =
  29. 29.37 × 3 =
  30. 30.37 × 15 =
  31. 31.37 × 18 =
  32. 32.1234567 × 9 + 8 =
  33. 33.12345 × 8 + 5 =
  34. 34.123 × 9 + 4 =
  35. 35.12345679 × 81 =
  36. 36.37 × 9 =
  37. 37.12345678 × 9 + 9 =
  38. 38.37 × 6 =
  39. 39.123 × 9 + 4 =
  40. 40.12345679 × 9 =

Answer key

  1. 987654321
  2. 98
  3. 11111
  4. 111
  5. 12345654321
  6. 222222222
  7. 888
  8. 333333333
  9. 1234321
  10. 555555555
  11. 888888888
  12. 98765432
  13. 111111
  14. 666666666
  15. 444
  16. 777777777
  17. 111111111
  18. 121
  19. 777
  20. 987654
  21. 9876543
  22. 999
  23. 1111111
  24. 12321
  25. 987
  26. 9876
  27. 444444444
  28. 123454321
  29. 111
  30. 555
  31. 666
  32. 11111111
  33. 98765
  34. 1111
  35. 999999999
  36. 333
  37. 111111111
  38. 222
  39. 1111
  40. 111111111

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