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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 770 · 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 × 9 + 9 =
  2. 2.1234567 × 8 + 7 =
  3. 3.1234 × 8 + 4 =
  4. 4.12345679 × 54 =
  5. 5.12345679 × 18 =
  6. 6.37 × 18 =
  7. 7.111 × 111 =
  8. 8.37 × 6 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 36 =
  11. 11.123456 × 9 + 7 =
  12. 12.12345679 × 63 =
  13. 13.37 × 9 =
  14. 14.12 × 8 + 2 =
  15. 15.37 × 21 =
  16. 16.111111 × 111111 =
  17. 17.12345678 × 8 + 8 =
  18. 18.37 × 27 =
  19. 19.11 × 11 =
  20. 20.1111 × 1111 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12 × 9 + 3 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 9 =
  25. 25.37 × 3 =
  26. 26.11111 × 11111 =
  27. 27.12345679 × 45 =
  28. 28.12345679 × 81 =
  29. 29.37 × 12 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345 × 8 + 5 =
  32. 32.37 × 15 =
  33. 33.123456789 × 8 + 9 =
  34. 34.12345679 × 72 =
  35. 35.123 × 8 + 3 =
  36. 36.1234 × 9 + 5 =
  37. 37.12 × 9 + 3 =
  38. 38.12345679 × 27 =
  39. 39.37 × 24 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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