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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 781 · 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. 1.11111 × 11111 =
  2. 2.12345 × 9 + 6 =
  3. 3.37 × 12 =
  4. 4.12345678 × 8 + 8 =
  5. 5.1111 × 1111 =
  6. 6.12345 × 8 + 5 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345679 × 72 =
  9. 9.123 × 9 + 4 =
  10. 10.123 × 8 + 3 =
  11. 11.1234567 × 8 + 7 =
  12. 12.12345679 × 45 =
  13. 13.37 × 15 =
  14. 14.12345679 × 9 =
  15. 15.37 × 18 =
  16. 16.12 × 9 + 3 =
  17. 17.12345679 × 54 =
  18. 18.37 × 3 =
  19. 19.111 × 111 =
  20. 20.111111 × 111111 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345678 × 9 + 9 =
  23. 23.37 × 9 =
  24. 24.37 × 27 =
  25. 25.12 × 8 + 2 =
  26. 26.12345679 × 18 =
  27. 27.37 × 21 =
  28. 28.11 × 11 =
  29. 29.37 × 6 =
  30. 30.123456 × 8 + 6 =
  31. 31.1234 × 8 + 4 =
  32. 32.12345679 × 63 =
  33. 33.37 × 24 =
  34. 34.123456 × 9 + 7 =
  35. 35.1234567 × 9 + 8 =
  36. 36.1234567 × 8 + 7 =
  37. 37.37 × 12 =
  38. 38.12345679 × 27 =
  39. 39.12345679 × 81 =
  40. 40.12345679 × 18 =

Answer key

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

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