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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 927 · 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. 1.12345678 × 8 + 8 =
  2. 2.123 × 8 + 3 =
  3. 3.111 × 111 =
  4. 4.123456 × 9 + 7 =
  5. 5.111111 × 111111 =
  6. 6.1234 × 8 + 4 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 18 =
  9. 9.12345679 × 27 =
  10. 10.12345679 × 72 =
  11. 11.123456 × 8 + 6 =
  12. 12.12345679 × 36 =
  13. 13.1234567 × 8 + 7 =
  14. 14.123 × 9 + 4 =
  15. 15.12345679 × 54 =
  16. 16.37 × 27 =
  17. 17.1111 × 1111 =
  18. 18.37 × 24 =
  19. 19.1234 × 9 + 5 =
  20. 20.37 × 6 =
  21. 21.37 × 12 =
  22. 22.37 × 15 =
  23. 23.11 × 11 =
  24. 24.12345679 × 9 =
  25. 25.11111 × 11111 =
  26. 26.12345679 × 45 =
  27. 27.12345 × 8 + 5 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12 × 9 + 3 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345678 × 9 + 9 =
  32. 32.12345679 × 63 =
  33. 33.12345679 × 81 =
  34. 34.37 × 21 =
  35. 35.1234567 × 9 + 8 =
  36. 36.37 × 9 =
  37. 37.37 × 18 =
  38. 38.1111 × 1111 =
  39. 39.12 × 9 + 3 =
  40. 40.1111 × 1111 =

Answer key

  1. 98765432
  2. 987
  3. 12321
  4. 1111111
  5. 12345654321
  6. 9876
  7. 98
  8. 222222222
  9. 333333333
  10. 888888888
  11. 987654
  12. 444444444
  13. 9876543
  14. 1111
  15. 666666666
  16. 999
  17. 1234321
  18. 888
  19. 11111
  20. 222
  21. 444
  22. 555
  23. 121
  24. 111111111
  25. 123454321
  26. 555555555
  27. 98765
  28. 987654321
  29. 111
  30. 111111
  31. 111111111
  32. 777777777
  33. 999999999
  34. 777
  35. 11111111
  36. 333
  37. 666
  38. 1234321
  39. 111
  40. 1234321

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