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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 996 · 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. 2.37 × 3 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345679 × 81 =
  5. 5.1111 × 1111 =
  6. 6.12345679 × 72 =
  7. 7.111111 × 111111 =
  8. 8.123456 × 9 + 7 =
  9. 9.1234 × 9 + 5 =
  10. 10.123 × 8 + 3 =
  11. 11.12345679 × 63 =
  12. 12.37 × 6 =
  13. 13.123456789 × 8 + 9 =
  14. 14.37 × 24 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 27 =
  17. 17.1234 × 8 + 4 =
  18. 18.37 × 12 =
  19. 19.11 × 11 =
  20. 20.12345679 × 45 =
  21. 21.111 × 111 =
  22. 22.12345 × 9 + 6 =
  23. 23.12 × 8 + 2 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345679 × 54 =
  26. 26.37 × 18 =
  27. 27.12345679 × 9 =
  28. 28.12 × 9 + 3 =
  29. 29.37 × 27 =
  30. 30.12345679 × 36 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345679 × 54 =
  33. 33.37 × 21 =
  34. 34.123456 × 8 + 6 =
  35. 35.37 × 9 =
  36. 36.12345678 × 9 + 9 =
  37. 37.123 × 9 + 4 =
  38. 38.12345679 × 18 =
  39. 39.37 × 15 =
  40. 40.12345679 × 18 =

Answer key

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

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