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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 533 · 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. 2.11111 × 11111 =
  3. 3.37 × 9 =
  4. 4.12345679 × 63 =
  5. 5.1234 × 9 + 5 =
  6. 6.1234 × 8 + 4 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 9 =
  9. 9.12345679 × 18 =
  10. 10.37 × 27 =
  11. 11.37 × 12 =
  12. 12.123 × 9 + 4 =
  13. 13.37 × 15 =
  14. 14.111111 × 111111 =
  15. 15.11 × 11 =
  16. 16.111 × 111 =
  17. 17.12345678 × 8 + 8 =
  18. 18.12345679 × 45 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345678 × 9 + 9 =
  21. 21.1234567 × 9 + 8 =
  22. 22.123456 × 9 + 7 =
  23. 23.1111 × 1111 =
  24. 24.12345 × 8 + 5 =
  25. 25.12 × 8 + 2 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 72 =
  28. 28.12345679 × 36 =
  29. 29.12345679 × 81 =
  30. 30.12345679 × 27 =
  31. 31.37 × 3 =
  32. 32.12 × 9 + 3 =
  33. 33.1234 × 8 + 4 =
  34. 34.37 × 6 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 3 =
  37. 37.12345679 × 36 =
  38. 38.37 × 18 =
  39. 39.37 × 21 =
  40. 40.37 × 24 =

Answer key

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

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