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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 584 · 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. 1.11 × 11 =
  2. 2.111111 × 111111 =
  3. 3.1111 × 1111 =
  4. 4.1234 × 8 + 4 =
  5. 5.12345679 × 18 =
  6. 6.12345679 × 63 =
  7. 7.37 × 3 =
  8. 8.123456 × 8 + 6 =
  9. 9.12345678 × 9 + 9 =
  10. 10.37 × 6 =
  11. 11.123456 × 9 + 7 =
  12. 12.12345679 × 81 =
  13. 13.12345679 × 27 =
  14. 14.12345679 × 9 =
  15. 15.37 × 9 =
  16. 16.11111 × 11111 =
  17. 17.12345679 × 45 =
  18. 18.37 × 15 =
  19. 19.123 × 8 + 3 =
  20. 20.37 × 18 =
  21. 21.37 × 12 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345678 × 8 + 8 =
  24. 24.111 × 111 =
  25. 25.12 × 8 + 2 =
  26. 26.1234567 × 9 + 8 =
  27. 27.37 × 24 =
  28. 28.12345 × 8 + 5 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12345679 × 36 =
  31. 31.123456789 × 8 + 9 =
  32. 32.123 × 9 + 4 =
  33. 33.37 × 27 =
  34. 34.12 × 9 + 3 =
  35. 35.12345679 × 72 =
  36. 36.1234 × 9 + 5 =
  37. 37.12345679 × 54 =
  38. 38.123 × 9 + 4 =
  39. 39.37 × 18 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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