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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 805 · 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. 1.1234567 × 9 + 8 =
  2. 2.37 × 6 =
  3. 3.123456 × 8 + 6 =
  4. 4.1234567 × 8 + 7 =
  5. 5.111 × 111 =
  6. 6.123 × 9 + 4 =
  7. 7.12345679 × 9 =
  8. 8.12345 × 9 + 6 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 18 =
  11. 11.12 × 9 + 3 =
  12. 12.12345679 × 27 =
  13. 13.11 × 11 =
  14. 14.37 × 18 =
  15. 15.12345679 × 36 =
  16. 16.12345679 × 72 =
  17. 17.1234 × 8 + 4 =
  18. 18.1111 × 1111 =
  19. 19.37 × 15 =
  20. 20.37 × 21 =
  21. 21.111111 × 111111 =
  22. 22.37 × 27 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12345679 × 45 =
  25. 25.123456 × 9 + 7 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345679 × 63 =
  28. 28.123 × 8 + 3 =
  29. 29.12345679 × 54 =
  30. 30.11111 × 11111 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345679 × 81 =
  33. 33.1234567 × 9 + 8 =
  34. 34.1234 × 9 + 5 =
  35. 35.1234 × 8 + 4 =
  36. 36.37 × 24 =
  37. 37.12345679 × 27 =
  38. 38.37 × 9 =
  39. 39.111111 × 111111 =
  40. 40.37 × 12 =

Answer key

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

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