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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 893 · 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 × 8 + 8 =
  2. 2.12345679 × 81 =
  3. 3.12345679 × 36 =
  4. 4.37 × 12 =
  5. 5.11111 × 11111 =
  6. 6.12 × 9 + 3 =
  7. 7.37 × 9 =
  8. 8.12 × 8 + 2 =
  9. 9.37 × 27 =
  10. 10.37 × 18 =
  11. 11.37 × 21 =
  12. 12.12345679 × 72 =
  13. 13.37 × 15 =
  14. 14.12345 × 9 + 6 =
  15. 15.11 × 11 =
  16. 16.111111 × 111111 =
  17. 17.1234567 × 8 + 7 =
  18. 18.37 × 6 =
  19. 19.37 × 3 =
  20. 20.123 × 8 + 3 =
  21. 21.111 × 111 =
  22. 22.1111 × 1111 =
  23. 23.12345679 × 45 =
  24. 24.111111 × 111111 =
  25. 25.1234 × 8 + 4 =
  26. 26.123456789 × 8 + 9 =
  27. 27.37 × 24 =
  28. 28.1234 × 9 + 5 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345679 × 9 =
  31. 31.12345679 × 54 =
  32. 32.12345679 × 27 =
  33. 33.12345 × 8 + 5 =
  34. 34.12345679 × 63 =
  35. 35.123456 × 8 + 6 =
  36. 36.1111 × 1111 =
  37. 37.123 × 9 + 4 =
  38. 38.1234567 × 9 + 8 =
  39. 39.111 × 111 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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