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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 734 · 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. 2.1234567 × 9 + 8 =
  3. 3.37 × 6 =
  4. 4.37 × 9 =
  5. 5.37 × 27 =
  6. 6.12 × 8 + 2 =
  7. 7.11111 × 11111 =
  8. 8.1234567 × 8 + 7 =
  9. 9.37 × 21 =
  10. 10.12 × 9 + 3 =
  11. 11.111111 × 111111 =
  12. 12.11 × 11 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345679 × 9 =
  15. 15.12345679 × 27 =
  16. 16.12345679 × 81 =
  17. 17.37 × 18 =
  18. 18.12345679 × 63 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345679 × 72 =
  21. 21.12345679 × 54 =
  22. 22.123 × 8 + 3 =
  23. 23.12345 × 8 + 5 =
  24. 24.123 × 9 + 4 =
  25. 25.1234 × 9 + 5 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 3 =
  28. 28.37 × 12 =
  29. 29.111 × 111 =
  30. 30.37 × 15 =
  31. 31.1111 × 1111 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12345679 × 45 =
  34. 34.37 × 15 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 24 =
  37. 37.12345679 × 36 =
  38. 38.111 × 111 =
  39. 39.123456 × 9 + 7 =
  40. 40.123 × 8 + 3 =

Answer key

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

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