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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 806 · 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. 1.37 × 6 =
  2. 2.11111 × 11111 =
  3. 3.12345678 × 8 + 8 =
  4. 4.12345679 × 45 =
  5. 5.12 × 8 + 2 =
  6. 6.11 × 11 =
  7. 7.111111 × 111111 =
  8. 8.12345 × 9 + 6 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 18 =
  11. 11.12345679 × 54 =
  12. 12.37 × 3 =
  13. 13.12345679 × 81 =
  14. 14.12 × 9 + 3 =
  15. 15.1234567 × 8 + 7 =
  16. 16.37 × 24 =
  17. 17.123456 × 9 + 7 =
  18. 18.37 × 27 =
  19. 19.12345679 × 18 =
  20. 20.111 × 111 =
  21. 21.1111 × 1111 =
  22. 22.123456 × 8 + 6 =
  23. 23.1234 × 9 + 5 =
  24. 24.1234 × 8 + 4 =
  25. 25.12345679 × 36 =
  26. 26.37 × 9 =
  27. 27.12345679 × 9 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 12 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 27 =
  32. 32.12345679 × 72 =
  33. 33.12345678 × 9 + 9 =
  34. 34.111 × 111 =
  35. 35.37 × 21 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 63 =
  38. 38.37 × 3 =
  39. 39.123456 × 9 + 7 =
  40. 40.123 × 9 + 4 =

Answer key

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

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