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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 979 · 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. 2.1234 × 9 + 5 =
  3. 3.37 × 6 =
  4. 4.123456 × 8 + 6 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 36 =
  7. 7.123456 × 9 + 7 =
  8. 8.11 × 11 =
  9. 9.37 × 18 =
  10. 10.37 × 12 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345678 × 9 + 9 =
  14. 14.37 × 21 =
  15. 15.111 × 111 =
  16. 16.1111 × 1111 =
  17. 17.37 × 3 =
  18. 18.12345679 × 54 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123 × 9 + 4 =
  21. 21.12345679 × 45 =
  22. 22.1234 × 8 + 4 =
  23. 23.37 × 27 =
  24. 24.12345679 × 63 =
  25. 25.12345 × 8 + 5 =
  26. 26.12 × 8 + 2 =
  27. 27.123456789 × 8 + 9 =
  28. 28.11111 × 11111 =
  29. 29.111111 × 111111 =
  30. 30.12345679 × 81 =
  31. 31.12345679 × 27 =
  32. 32.37 × 15 =
  33. 33.123 × 8 + 3 =
  34. 34.12345 × 8 + 5 =
  35. 35.12345679 × 72 =
  36. 36.37 × 9 =
  37. 37.12345678 × 8 + 8 =
  38. 38.123456 × 8 + 6 =
  39. 39.1234567 × 8 + 7 =
  40. 40.12345679 × 9 =

Answer key

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

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