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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 849 · 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. 2.12345678 × 8 + 8 =
  3. 3.37 × 3 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 15 =
  6. 6.123456 × 9 + 7 =
  7. 7.12345679 × 81 =
  8. 8.12345678 × 9 + 9 =
  9. 9.1234567 × 9 + 8 =
  10. 10.12345679 × 36 =
  11. 11.37 × 9 =
  12. 12.37 × 12 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 27 =
  15. 15.37 × 24 =
  16. 16.12345679 × 9 =
  17. 17.12 × 9 + 3 =
  18. 18.12345679 × 63 =
  19. 19.12345 × 8 + 5 =
  20. 20.123456 × 8 + 6 =
  21. 21.1234 × 9 + 5 =
  22. 22.111 × 111 =
  23. 23.111111 × 111111 =
  24. 24.1111 × 1111 =
  25. 25.11111 × 11111 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 45 =
  28. 28.37 × 21 =
  29. 29.12345679 × 27 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 72 =
  32. 32.1234 × 8 + 4 =
  33. 33.37 × 6 =
  34. 34.37 × 18 =
  35. 35.11 × 11 =
  36. 36.12345 × 9 + 6 =
  37. 37.123 × 8 + 3 =
  38. 38.1234567 × 9 + 8 =
  39. 39.11111 × 11111 =
  40. 40.37 × 3 =

Answer key

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

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