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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 440 · 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. 2.12 × 8 + 2 =
  3. 3.111111 × 111111 =
  4. 4.11 × 11 =
  5. 5.37 × 6 =
  6. 6.123 × 9 + 4 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 72 =
  9. 9.37 × 3 =
  10. 10.12345679 × 18 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 27 =
  13. 13.37 × 18 =
  14. 14.12345678 × 8 + 8 =
  15. 15.37 × 12 =
  16. 16.1234567 × 9 + 8 =
  17. 17.1111 × 1111 =
  18. 18.12345679 × 63 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345679 × 54 =
  21. 21.1234567 × 8 + 7 =
  22. 22.111 × 111 =
  23. 23.37 × 21 =
  24. 24.12 × 9 + 3 =
  25. 25.11111 × 11111 =
  26. 26.37 × 15 =
  27. 27.12345679 × 45 =
  28. 28.37 × 24 =
  29. 29.12345678 × 9 + 9 =
  30. 30.1234 × 9 + 5 =
  31. 31.123456 × 9 + 7 =
  32. 32.37 × 27 =
  33. 33.111 × 111 =
  34. 34.12345 × 9 + 6 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 81 =
  37. 37.37 × 9 =
  38. 38.123456 × 9 + 7 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345679 × 36 =

Answer key

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

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