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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 838 · 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 × 18 =
  2. 2.1234 × 8 + 4 =
  3. 3.123456 × 9 + 7 =
  4. 4.111 × 111 =
  5. 5.11111 × 11111 =
  6. 6.123 × 9 + 4 =
  7. 7.111111 × 111111 =
  8. 8.37 × 12 =
  9. 9.12345679 × 54 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12345679 × 27 =
  12. 12.11 × 11 =
  13. 13.12345679 × 45 =
  14. 14.1111 × 1111 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345679 × 72 =
  18. 18.37 × 9 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345679 × 9 =
  21. 21.1234 × 9 + 5 =
  22. 22.123 × 8 + 3 =
  23. 23.37 × 3 =
  24. 24.12345679 × 81 =
  25. 25.37 × 18 =
  26. 26.12 × 8 + 2 =
  27. 27.37 × 21 =
  28. 28.123456 × 8 + 6 =
  29. 29.12 × 9 + 3 =
  30. 30.12345679 × 36 =
  31. 31.37 × 24 =
  32. 32.123456789 × 8 + 9 =
  33. 33.11 × 11 =
  34. 34.11 × 11 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 15 =
  37. 37.37 × 6 =
  38. 38.123 × 9 + 4 =
  39. 39.37 × 27 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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