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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 932 · 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. 1.123456 × 9 + 7 =
  2. 2.1234 × 8 + 4 =
  3. 3.111111 × 111111 =
  4. 4.12345678 × 8 + 8 =
  5. 5.1234567 × 8 + 7 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 72 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 54 =
  11. 11.12345678 × 9 + 9 =
  12. 12.11111 × 11111 =
  13. 13.37 × 6 =
  14. 14.12345679 × 27 =
  15. 15.12345679 × 9 =
  16. 16.12345679 × 81 =
  17. 17.123 × 8 + 3 =
  18. 18.12 × 9 + 3 =
  19. 19.123 × 9 + 4 =
  20. 20.37 × 3 =
  21. 21.11 × 11 =
  22. 22.37 × 9 =
  23. 23.37 × 15 =
  24. 24.37 × 21 =
  25. 25.12345679 × 45 =
  26. 26.123456789 × 8 + 9 =
  27. 27.1111 × 1111 =
  28. 28.12345679 × 36 =
  29. 29.12345679 × 63 =
  30. 30.11111 × 11111 =
  31. 31.37 × 27 =
  32. 32.1234 × 9 + 5 =
  33. 33.37 × 18 =
  34. 34.111 × 111 =
  35. 35.11 × 11 =
  36. 36.37 × 24 =
  37. 37.37 × 12 =
  38. 38.12345679 × 18 =
  39. 39.12345 × 8 + 5 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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