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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 499 · 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. 1.12345679 × 18 =
  2. 2.111 × 111 =
  3. 3.37 × 18 =
  4. 4.1234 × 9 + 5 =
  5. 5.12345678 × 9 + 9 =
  6. 6.12345679 × 81 =
  7. 7.12345 × 9 + 6 =
  8. 8.37 × 21 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 9 =
  11. 11.12345679 × 54 =
  12. 12.12345679 × 72 =
  13. 13.12345678 × 8 + 8 =
  14. 14.37 × 15 =
  15. 15.123 × 8 + 3 =
  16. 16.123 × 9 + 4 =
  17. 17.123456 × 8 + 6 =
  18. 18.123456 × 9 + 7 =
  19. 19.12 × 8 + 2 =
  20. 20.1234567 × 8 + 7 =
  21. 21.111111 × 111111 =
  22. 22.37 × 3 =
  23. 23.1234 × 8 + 4 =
  24. 24.123456789 × 8 + 9 =
  25. 25.37 × 24 =
  26. 26.12345679 × 45 =
  27. 27.37 × 6 =
  28. 28.11 × 11 =
  29. 29.12345 × 8 + 5 =
  30. 30.11111 × 11111 =
  31. 31.12345679 × 27 =
  32. 32.12 × 9 + 3 =
  33. 33.1234 × 8 + 4 =
  34. 34.37 × 12 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 63 =
  37. 37.37 × 27 =
  38. 38.37 × 9 =
  39. 39.12345679 × 36 =
  40. 40.1111 × 1111 =

Answer key

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

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