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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 888 · 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 × 36 =
  2. 2.12345679 × 45 =
  3. 3.37 × 24 =
  4. 4.1111 × 1111 =
  5. 5.123456789 × 8 + 9 =
  6. 6.1234567 × 9 + 8 =
  7. 7.11 × 11 =
  8. 8.37 × 6 =
  9. 9.12345679 × 9 =
  10. 10.12345679 × 27 =
  11. 11.123 × 9 + 4 =
  12. 12.12345678 × 8 + 8 =
  13. 13.111111 × 111111 =
  14. 14.11111 × 11111 =
  15. 15.12345679 × 72 =
  16. 16.12345679 × 54 =
  17. 17.123 × 8 + 3 =
  18. 18.111 × 111 =
  19. 19.12 × 8 + 2 =
  20. 20.12345 × 8 + 5 =
  21. 21.1234 × 9 + 5 =
  22. 22.12 × 9 + 3 =
  23. 23.37 × 27 =
  24. 24.12345679 × 81 =
  25. 25.12345 × 9 + 6 =
  26. 26.37 × 18 =
  27. 27.12345679 × 63 =
  28. 28.12345679 × 18 =
  29. 29.37 × 12 =
  30. 30.37 × 15 =
  31. 31.123456 × 8 + 6 =
  32. 32.12345678 × 9 + 9 =
  33. 33.37 × 21 =
  34. 34.12345679 × 27 =
  35. 35.37 × 3 =
  36. 36.111111 × 111111 =
  37. 37.37 × 9 =
  38. 38.123456 × 9 + 7 =
  39. 39.1234 × 8 + 4 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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