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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 426 · 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. 2.12345679 × 54 =
  3. 3.12345679 × 9 =
  4. 4.37 × 27 =
  5. 5.12345679 × 81 =
  6. 6.12345679 × 63 =
  7. 7.123 × 9 + 4 =
  8. 8.11111 × 11111 =
  9. 9.12345679 × 18 =
  10. 10.12345679 × 45 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 6 =
  13. 13.12345679 × 27 =
  14. 14.1234567 × 8 + 7 =
  15. 15.37 × 21 =
  16. 16.12 × 9 + 3 =
  17. 17.12345679 × 36 =
  18. 18.11 × 11 =
  19. 19.37 × 18 =
  20. 20.111111 × 111111 =
  21. 21.123456 × 9 + 7 =
  22. 22.123456 × 8 + 6 =
  23. 23.37 × 12 =
  24. 24.12345 × 8 + 5 =
  25. 25.12 × 8 + 2 =
  26. 26.111 × 111 =
  27. 27.12345 × 9 + 6 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 72 =
  30. 30.1111 × 1111 =
  31. 31.37 × 15 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345678 × 9 + 9 =
  34. 34.37 × 24 =
  35. 35.37 × 9 =
  36. 36.37 × 3 =
  37. 37.1111 × 1111 =
  38. 38.123 × 8 + 3 =
  39. 39.12345679 × 81 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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