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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 808 · 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. 1.123456 × 8 + 6 =
  2. 2.37 × 27 =
  3. 3.37 × 18 =
  4. 4.12 × 8 + 2 =
  5. 5.37 × 15 =
  6. 6.123456 × 9 + 7 =
  7. 7.12345679 × 54 =
  8. 8.1111 × 1111 =
  9. 9.37 × 21 =
  10. 10.12 × 9 + 3 =
  11. 11.12345679 × 63 =
  12. 12.11 × 11 =
  13. 13.37 × 24 =
  14. 14.12345679 × 72 =
  15. 15.111 × 111 =
  16. 16.12345678 × 9 + 9 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 27 =
  19. 19.37 × 12 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 6 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 18 =
  24. 24.12345 × 8 + 5 =
  25. 25.12345679 × 45 =
  26. 26.1234567 × 9 + 8 =
  27. 27.11111 × 11111 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345679 × 81 =
  30. 30.1234 × 8 + 4 =
  31. 31.111111 × 111111 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 36 =
  34. 34.12345679 × 9 =
  35. 35.37 × 27 =
  36. 36.12345678 × 8 + 8 =
  37. 37.12345 × 9 + 6 =
  38. 38.12345679 × 27 =
  39. 39.12345679 × 63 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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