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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 976 · 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. 2.12 × 8 + 2 =
  3. 3.123456 × 8 + 6 =
  4. 4.12345679 × 36 =
  5. 5.37 × 21 =
  6. 6.12345678 × 9 + 9 =
  7. 7.12345 × 9 + 6 =
  8. 8.37 × 9 =
  9. 9.12345679 × 81 =
  10. 10.111 × 111 =
  11. 11.12345679 × 9 =
  12. 12.1234567 × 9 + 8 =
  13. 13.11 × 11 =
  14. 14.123 × 8 + 3 =
  15. 15.12345679 × 27 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 18 =
  18. 18.12345679 × 18 =
  19. 19.111111 × 111111 =
  20. 20.1234567 × 8 + 7 =
  21. 21.37 × 3 =
  22. 22.37 × 12 =
  23. 23.123456789 × 8 + 9 =
  24. 24.123456 × 9 + 7 =
  25. 25.37 × 27 =
  26. 26.37 × 24 =
  27. 27.12 × 9 + 3 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345 × 8 + 5 =
  30. 30.37 × 6 =
  31. 31.12345679 × 36 =
  32. 32.1234 × 9 + 5 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 63 =
  35. 35.12345679 × 45 =
  36. 36.1111 × 1111 =
  37. 37.12345679 × 54 =
  38. 38.37 × 15 =
  39. 39.111111 × 111111 =
  40. 40.123 × 9 + 4 =

Answer key

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

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