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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 967 · 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. 2.123 × 9 + 4 =
  3. 3.37 × 9 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 18 =
  7. 7.37 × 18 =
  8. 8.111 × 111 =
  9. 9.12345679 × 27 =
  10. 10.12 × 8 + 2 =
  11. 11.12345679 × 72 =
  12. 12.12345 × 8 + 5 =
  13. 13.37 × 24 =
  14. 14.12345679 × 63 =
  15. 15.12345 × 9 + 6 =
  16. 16.37 × 15 =
  17. 17.12345679 × 54 =
  18. 18.11111 × 11111 =
  19. 19.37 × 21 =
  20. 20.12345678 × 9 + 9 =
  21. 21.111111 × 111111 =
  22. 22.37 × 6 =
  23. 23.12345679 × 45 =
  24. 24.37 × 27 =
  25. 25.11 × 11 =
  26. 26.1234 × 9 + 5 =
  27. 27.123456 × 9 + 7 =
  28. 28.37 × 3 =
  29. 29.1234567 × 9 + 8 =
  30. 30.37 × 12 =
  31. 31.123456 × 8 + 6 =
  32. 32.1234 × 8 + 4 =
  33. 33.123 × 8 + 3 =
  34. 34.12345679 × 45 =
  35. 35.12345679 × 9 =
  36. 36.12345679 × 36 =
  37. 37.12345678 × 8 + 8 =
  38. 38.12 × 9 + 3 =
  39. 39.12345679 × 81 =
  40. 40.1111 × 1111 =

Answer key

  1. 111111111
  2. 1111
  3. 333
  4. 987654321
  5. 111
  6. 222222222
  7. 666
  8. 12321
  9. 333333333
  10. 98
  11. 888888888
  12. 98765
  13. 888
  14. 777777777
  15. 111111
  16. 555
  17. 666666666
  18. 123454321
  19. 777
  20. 111111111
  21. 12345654321
  22. 222
  23. 555555555
  24. 999
  25. 121
  26. 11111
  27. 1111111
  28. 111
  29. 11111111
  30. 444
  31. 987654
  32. 9876
  33. 987
  34. 555555555
  35. 111111111
  36. 444444444
  37. 98765432
  38. 111
  39. 999999999
  40. 1234321

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