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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 265 · 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 × 81 =
  2. 2.111111 × 111111 =
  3. 3.11 × 11 =
  4. 4.12 × 8 + 2 =
  5. 5.12 × 9 + 3 =
  6. 6.11111 × 11111 =
  7. 7.111 × 111 =
  8. 8.1234 × 8 + 4 =
  9. 9.1234567 × 9 + 8 =
  10. 10.1111 × 1111 =
  11. 11.37 × 27 =
  12. 12.12345679 × 63 =
  13. 13.123456789 × 8 + 9 =
  14. 14.37 × 3 =
  15. 15.1234567 × 8 + 7 =
  16. 16.123456 × 8 + 6 =
  17. 17.12345679 × 54 =
  18. 18.12345 × 8 + 5 =
  19. 19.12345 × 9 + 6 =
  20. 20.37 × 21 =
  21. 21.1234 × 9 + 5 =
  22. 22.12345678 × 9 + 9 =
  23. 23.37 × 15 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 27 =
  26. 26.123 × 9 + 4 =
  27. 27.12345679 × 36 =
  28. 28.37 × 12 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345679 × 72 =
  31. 31.12345679 × 18 =
  32. 32.123 × 8 + 3 =
  33. 33.11 × 11 =
  34. 34.123456 × 9 + 7 =
  35. 35.37 × 24 =
  36. 36.37 × 18 =
  37. 37.37 × 9 =
  38. 38.37 × 3 =
  39. 39.12345679 × 45 =
  40. 40.12345679 × 9 =

Answer key

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

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