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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 804 · 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. 1.11111 × 11111 =
  2. 2.12345 × 8 + 5 =
  3. 3.12345679 × 27 =
  4. 4.111 × 111 =
  5. 5.12345679 × 54 =
  6. 6.12345679 × 81 =
  7. 7.12345 × 9 + 6 =
  8. 8.1234 × 8 + 4 =
  9. 9.11 × 11 =
  10. 10.1234567 × 9 + 8 =
  11. 11.1234 × 9 + 5 =
  12. 12.37 × 18 =
  13. 13.37 × 15 =
  14. 14.12345679 × 63 =
  15. 15.37 × 9 =
  16. 16.123456 × 9 + 7 =
  17. 17.123456 × 8 + 6 =
  18. 18.123456789 × 8 + 9 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345679 × 18 =
  21. 21.111111 × 111111 =
  22. 22.123 × 9 + 4 =
  23. 23.37 × 24 =
  24. 24.37 × 21 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12345679 × 9 =
  27. 27.12 × 9 + 3 =
  28. 28.37 × 27 =
  29. 29.37 × 3 =
  30. 30.1111 × 1111 =
  31. 31.12 × 8 + 2 =
  32. 32.12345679 × 45 =
  33. 33.12345678 × 8 + 8 =
  34. 34.37 × 12 =
  35. 35.123 × 8 + 3 =
  36. 36.37 × 6 =
  37. 37.12345679 × 9 =
  38. 38.12345679 × 72 =
  39. 39.37 × 3 =
  40. 40.123 × 9 + 4 =

Answer key

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

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