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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 351 · 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 × 27 =
  2. 2.1111 × 1111 =
  3. 3.37 × 24 =
  4. 4.11 × 11 =
  5. 5.12345679 × 54 =
  6. 6.37 × 27 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12 × 8 + 2 =
  9. 9.37 × 6 =
  10. 10.123456 × 9 + 7 =
  11. 11.12345679 × 18 =
  12. 12.37 × 18 =
  13. 13.111111 × 111111 =
  14. 14.123 × 9 + 4 =
  15. 15.37 × 15 =
  16. 16.123456789 × 8 + 9 =
  17. 17.1234567 × 8 + 7 =
  18. 18.123456 × 8 + 6 =
  19. 19.111 × 111 =
  20. 20.37 × 21 =
  21. 21.37 × 9 =
  22. 22.12345679 × 45 =
  23. 23.11111 × 11111 =
  24. 24.12345 × 9 + 6 =
  25. 25.12 × 9 + 3 =
  26. 26.12345679 × 72 =
  27. 27.37 × 3 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345679 × 81 =
  30. 30.12345 × 8 + 5 =
  31. 31.12345679 × 63 =
  32. 32.12345679 × 9 =
  33. 33.12345679 × 36 =
  34. 34.123 × 8 + 3 =
  35. 35.37 × 12 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 9 =
  38. 38.37 × 21 =
  39. 39.123456 × 8 + 6 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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