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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 768 · 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. 1.123456789 × 8 + 9 =
  2. 2.123 × 8 + 3 =
  3. 3.37 × 6 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12345679 × 54 =
  6. 6.12345679 × 81 =
  7. 7.37 × 12 =
  8. 8.37 × 9 =
  9. 9.1111 × 1111 =
  10. 10.37 × 3 =
  11. 11.123 × 9 + 4 =
  12. 12.12 × 9 + 3 =
  13. 13.12345 × 8 + 5 =
  14. 14.37 × 18 =
  15. 15.12345679 × 45 =
  16. 16.12345679 × 9 =
  17. 17.11 × 11 =
  18. 18.123456 × 9 + 7 =
  19. 19.12345679 × 63 =
  20. 20.37 × 27 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345678 × 8 + 8 =
  23. 23.37 × 24 =
  24. 24.12345 × 9 + 6 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345679 × 72 =
  27. 27.12345679 × 18 =
  28. 28.111 × 111 =
  29. 29.37 × 3 =
  30. 30.12345679 × 27 =
  31. 31.11111 × 11111 =
  32. 32.1234 × 9 + 5 =
  33. 33.1234567 × 8 + 7 =
  34. 34.111111 × 111111 =
  35. 35.123 × 9 + 4 =
  36. 36.12 × 8 + 2 =
  37. 37.37 × 6 =
  38. 38.12345679 × 36 =
  39. 39.37 × 21 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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