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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 760 · 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. 1.37 × 9 =
  2. 2.1234567 × 8 + 7 =
  3. 3.12345678 × 8 + 8 =
  4. 4.123456789 × 8 + 9 =
  5. 5.123456 × 9 + 7 =
  6. 6.11 × 11 =
  7. 7.1234 × 9 + 5 =
  8. 8.1234567 × 9 + 8 =
  9. 9.37 × 21 =
  10. 10.12345679 × 27 =
  11. 11.12345 × 9 + 6 =
  12. 12.111 × 111 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 24 =
  15. 15.12345678 × 9 + 9 =
  16. 16.1234 × 8 + 4 =
  17. 17.37 × 6 =
  18. 18.12345679 × 9 =
  19. 19.12345679 × 54 =
  20. 20.37 × 3 =
  21. 21.12345679 × 36 =
  22. 22.111111 × 111111 =
  23. 23.12 × 9 + 3 =
  24. 24.37 × 18 =
  25. 25.11 × 11 =
  26. 26.37 × 27 =
  27. 27.11111 × 11111 =
  28. 28.12345679 × 45 =
  29. 29.123 × 9 + 4 =
  30. 30.12345679 × 18 =
  31. 31.12345 × 8 + 5 =
  32. 32.12345679 × 72 =
  33. 33.1111 × 1111 =
  34. 34.123 × 8 + 3 =
  35. 35.12 × 8 + 2 =
  36. 36.12345679 × 27 =
  37. 37.12345678 × 8 + 8 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345679 × 63 =
  40. 40.12 × 9 + 3 =

Answer key

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

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