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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 845 · 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 × 81 =
  2. 2.1234567 × 9 + 8 =
  3. 3.1111 × 1111 =
  4. 4.12345678 × 8 + 8 =
  5. 5.12345 × 8 + 5 =
  6. 6.12345679 × 36 =
  7. 7.12345679 × 45 =
  8. 8.123 × 9 + 4 =
  9. 9.12 × 8 + 2 =
  10. 10.123456 × 8 + 6 =
  11. 11.12345679 × 18 =
  12. 12.37 × 21 =
  13. 13.111111 × 111111 =
  14. 14.37 × 24 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345679 × 63 =
  17. 17.12345679 × 9 =
  18. 18.123 × 8 + 3 =
  19. 19.11111 × 11111 =
  20. 20.123456 × 9 + 7 =
  21. 21.37 × 9 =
  22. 22.12345679 × 27 =
  23. 23.37 × 3 =
  24. 24.12345 × 9 + 6 =
  25. 25.37 × 6 =
  26. 26.37 × 27 =
  27. 27.12 × 9 + 3 =
  28. 28.11 × 11 =
  29. 29.12345679 × 54 =
  30. 30.1234 × 8 + 4 =
  31. 31.123456789 × 8 + 9 =
  32. 32.37 × 12 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 15 =
  35. 35.12345679 × 72 =
  36. 36.12345679 × 27 =
  37. 37.111 × 111 =
  38. 38.123456789 × 8 + 9 =
  39. 39.1111 × 1111 =
  40. 40.37 × 18 =

Answer key

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

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