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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 458 · 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. 1.12345 × 9 + 6 =
  2. 2.37 × 12 =
  3. 3.123 × 9 + 4 =
  4. 4.1234567 × 8 + 7 =
  5. 5.37 × 15 =
  6. 6.12345678 × 8 + 8 =
  7. 7.1111 × 1111 =
  8. 8.12345679 × 63 =
  9. 9.11 × 11 =
  10. 10.37 × 21 =
  11. 11.123456789 × 8 + 9 =
  12. 12.12345 × 8 + 5 =
  13. 13.12345679 × 36 =
  14. 14.11111 × 11111 =
  15. 15.1234 × 9 + 5 =
  16. 16.1234567 × 9 + 8 =
  17. 17.12345679 × 27 =
  18. 18.37 × 6 =
  19. 19.12345679 × 45 =
  20. 20.111 × 111 =
  21. 21.12345679 × 9 =
  22. 22.12 × 8 + 2 =
  23. 23.1234 × 8 + 4 =
  24. 24.123456 × 9 + 7 =
  25. 25.37 × 9 =
  26. 26.123456 × 8 + 6 =
  27. 27.12 × 9 + 3 =
  28. 28.111111 × 111111 =
  29. 29.37 × 24 =
  30. 30.37 × 3 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 18 =
  33. 33.12345679 × 72 =
  34. 34.37 × 18 =
  35. 35.37 × 27 =
  36. 36.12345679 × 54 =
  37. 37.12345679 × 81 =
  38. 38.37 × 3 =
  39. 39.12345678 × 9 + 9 =
  40. 40.1111 × 1111 =

Answer key

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

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