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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 230 · 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. 1.12345679 × 18 =
  2. 2.12345678 × 8 + 8 =
  3. 3.37 × 3 =
  4. 4.12345678 × 9 + 9 =
  5. 5.37 × 24 =
  6. 6.1234 × 8 + 4 =
  7. 7.37 × 21 =
  8. 8.37 × 15 =
  9. 9.1234567 × 9 + 8 =
  10. 10.12345679 × 9 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 63 =
  13. 13.37 × 9 =
  14. 14.12 × 9 + 3 =
  15. 15.37 × 12 =
  16. 16.37 × 27 =
  17. 17.123456 × 8 + 6 =
  18. 18.111111 × 111111 =
  19. 19.12345679 × 27 =
  20. 20.123 × 9 + 4 =
  21. 21.12345679 × 72 =
  22. 22.1111 × 1111 =
  23. 23.11 × 11 =
  24. 24.123456 × 9 + 7 =
  25. 25.111 × 111 =
  26. 26.12 × 8 + 2 =
  27. 27.11111 × 11111 =
  28. 28.1234567 × 8 + 7 =
  29. 29.123 × 8 + 3 =
  30. 30.12345679 × 36 =
  31. 31.12345 × 8 + 5 =
  32. 32.12345 × 9 + 6 =
  33. 33.12345679 × 54 =
  34. 34.12345679 × 54 =
  35. 35.37 × 18 =
  36. 36.12345679 × 45 =
  37. 37.37 × 6 =
  38. 38.12345 × 9 + 6 =
  39. 39.123456789 × 8 + 9 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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