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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 618 · 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 × 45 =
  2. 2.111111 × 111111 =
  3. 3.37 × 21 =
  4. 4.123 × 9 + 4 =
  5. 5.123456 × 9 + 7 =
  6. 6.1234 × 9 + 5 =
  7. 7.12345679 × 9 =
  8. 8.12345679 × 63 =
  9. 9.12345678 × 8 + 8 =
  10. 10.37 × 18 =
  11. 11.12 × 9 + 3 =
  12. 12.37 × 27 =
  13. 13.11 × 11 =
  14. 14.12345679 × 27 =
  15. 15.123456789 × 8 + 9 =
  16. 16.123 × 8 + 3 =
  17. 17.11111 × 11111 =
  18. 18.12345679 × 36 =
  19. 19.1111 × 1111 =
  20. 20.37 × 3 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345 × 8 + 5 =
  23. 23.37 × 15 =
  24. 24.37 × 24 =
  25. 25.12345679 × 72 =
  26. 26.12345679 × 54 =
  27. 27.12 × 8 + 2 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 12 =
  30. 30.37 × 6 =
  31. 31.1234567 × 8 + 7 =
  32. 32.1234 × 8 + 4 =
  33. 33.123456 × 8 + 6 =
  34. 34.111 × 111 =
  35. 35.37 × 9 =
  36. 36.12345 × 9 + 6 =
  37. 37.37 × 9 =
  38. 38.12345679 × 18 =
  39. 39.111 × 111 =
  40. 40.12345679 × 81 =

Answer key

  1. 555555555
  2. 12345654321
  3. 777
  4. 1111
  5. 1111111
  6. 11111
  7. 111111111
  8. 777777777
  9. 98765432
  10. 666
  11. 111
  12. 999
  13. 121
  14. 333333333
  15. 987654321
  16. 987
  17. 123454321
  18. 444444444
  19. 1234321
  20. 111
  21. 11111111
  22. 98765
  23. 555
  24. 888
  25. 888888888
  26. 666666666
  27. 98
  28. 111111111
  29. 444
  30. 222
  31. 9876543
  32. 9876
  33. 987654
  34. 12321
  35. 333
  36. 111111
  37. 333
  38. 222222222
  39. 12321
  40. 999999999

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