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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 620 · 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. 2.1111 × 1111 =
  3. 3.11111 × 11111 =
  4. 4.12345679 × 27 =
  5. 5.12345679 × 81 =
  6. 6.111111 × 111111 =
  7. 7.1234 × 8 + 4 =
  8. 8.111 × 111 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 36 =
  11. 11.1234567 × 9 + 8 =
  12. 12.37 × 18 =
  13. 13.11 × 11 =
  14. 14.12345678 × 9 + 9 =
  15. 15.123 × 9 + 4 =
  16. 16.123 × 8 + 3 =
  17. 17.37 × 24 =
  18. 18.12345679 × 72 =
  19. 19.37 × 27 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345679 × 9 =
  22. 22.37 × 15 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345679 × 45 =
  25. 25.12345678 × 8 + 8 =
  26. 26.123456 × 8 + 6 =
  27. 27.37 × 9 =
  28. 28.37 × 3 =
  29. 29.123456 × 9 + 7 =
  30. 30.37 × 21 =
  31. 31.12 × 9 + 3 =
  32. 32.1234567 × 8 + 7 =
  33. 33.123456789 × 8 + 9 =
  34. 34.37 × 12 =
  35. 35.37 × 6 =
  36. 36.12345 × 8 + 5 =
  37. 37.37 × 3 =
  38. 38.12345679 × 54 =
  39. 39.1111 × 1111 =
  40. 40.1111 × 1111 =

Answer key

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

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