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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 409 · 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. 2.12345679 × 81 =
  3. 3.1111 × 1111 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 63 =
  7. 7.1234567 × 9 + 8 =
  8. 8.37 × 12 =
  9. 9.111111 × 111111 =
  10. 10.12345679 × 18 =
  11. 11.1234 × 9 + 5 =
  12. 12.123 × 8 + 3 =
  13. 13.123456 × 8 + 6 =
  14. 14.12 × 8 + 2 =
  15. 15.12345 × 8 + 5 =
  16. 16.12345679 × 36 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 45 =
  19. 19.37 × 21 =
  20. 20.12345679 × 54 =
  21. 21.37 × 15 =
  22. 22.12345678 × 8 + 8 =
  23. 23.37 × 9 =
  24. 24.111 × 111 =
  25. 25.12345679 × 72 =
  26. 26.11111 × 11111 =
  27. 27.37 × 24 =
  28. 28.11 × 11 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 3 =
  31. 31.123456 × 9 + 7 =
  32. 32.37 × 6 =
  33. 33.37 × 18 =
  34. 34.12345679 × 9 =
  35. 35.123 × 9 + 4 =
  36. 36.37 × 27 =
  37. 37.12345 × 9 + 6 =
  38. 38.123456 × 8 + 6 =
  39. 39.123456789 × 8 + 9 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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