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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 835 · 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. 1.11 × 11 =
  2. 2.1234567 × 8 + 7 =
  3. 3.123456 × 8 + 6 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 72 =
  6. 6.11111 × 11111 =
  7. 7.37 × 9 =
  8. 8.12345679 × 36 =
  9. 9.37 × 15 =
  10. 10.37 × 27 =
  11. 11.12345679 × 45 =
  12. 12.37 × 18 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 27 =
  15. 15.12345679 × 18 =
  16. 16.37 × 3 =
  17. 17.123 × 9 + 4 =
  18. 18.37 × 12 =
  19. 19.12345679 × 54 =
  20. 20.1111 × 1111 =
  21. 21.111 × 111 =
  22. 22.12345678 × 8 + 8 =
  23. 23.123 × 8 + 3 =
  24. 24.12345679 × 9 =
  25. 25.12345679 × 63 =
  26. 26.123456789 × 8 + 9 =
  27. 27.1234567 × 9 + 8 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345 × 9 + 6 =
  30. 30.12345679 × 81 =
  31. 31.37 × 24 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345 × 8 + 5 =
  34. 34.111111 × 111111 =
  35. 35.37 × 21 =
  36. 36.123 × 9 + 4 =
  37. 37.12 × 9 + 3 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345679 × 45 =
  40. 40.12345679 × 45 =

Answer key

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

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