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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 528 · 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. 1.11111 × 11111 =
  2. 2.37 × 18 =
  3. 3.12 × 9 + 3 =
  4. 4.12345679 × 18 =
  5. 5.37 × 24 =
  6. 6.11 × 11 =
  7. 7.111111 × 111111 =
  8. 8.123 × 9 + 4 =
  9. 9.1234567 × 9 + 8 =
  10. 10.37 × 21 =
  11. 11.37 × 3 =
  12. 12.12 × 8 + 2 =
  13. 13.12345 × 8 + 5 =
  14. 14.1234 × 8 + 4 =
  15. 15.37 × 6 =
  16. 16.37 × 15 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345 × 9 + 6 =
  19. 19.111 × 111 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345678 × 9 + 9 =
  22. 22.1111 × 1111 =
  23. 23.12345679 × 81 =
  24. 24.123 × 8 + 3 =
  25. 25.12345679 × 36 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345679 × 9 =
  28. 28.12345679 × 63 =
  29. 29.37 × 9 =
  30. 30.37 × 27 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 27 =
  33. 33.123456 × 8 + 6 =
  34. 34.12345678 × 8 + 8 =
  35. 35.12345679 × 45 =
  36. 36.37 × 12 =
  37. 37.12345679 × 54 =
  38. 38.12345679 × 72 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 9 =

Answer key

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

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