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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 525 · 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 × 9 =
  2. 2.37 × 3 =
  3. 3.12345 × 9 + 6 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12345679 × 27 =
  6. 6.111111 × 111111 =
  7. 7.123456 × 9 + 7 =
  8. 8.11 × 11 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 72 =
  11. 11.12345678 × 9 + 9 =
  12. 12.12345679 × 63 =
  13. 13.37 × 27 =
  14. 14.37 × 15 =
  15. 15.37 × 18 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 81 =
  18. 18.1234 × 8 + 4 =
  19. 19.123 × 9 + 4 =
  20. 20.111 × 111 =
  21. 21.12 × 8 + 2 =
  22. 22.37 × 6 =
  23. 23.37 × 21 =
  24. 24.12345679 × 18 =
  25. 25.123 × 8 + 3 =
  26. 26.11111 × 11111 =
  27. 27.12345 × 9 + 6 =
  28. 28.123456 × 8 + 6 =
  29. 29.1111 × 1111 =
  30. 30.12345678 × 8 + 8 =
  31. 31.1234 × 9 + 5 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 9 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 12 =
  36. 36.12345 × 8 + 5 =
  37. 37.37 × 21 =
  38. 38.12345679 × 9 =
  39. 39.1234567 × 8 + 7 =
  40. 40.123 × 8 + 3 =

Answer key

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

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