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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 660 · 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. 2.12345679 × 81 =
  3. 3.11 × 11 =
  4. 4.37 × 18 =
  5. 5.1111 × 1111 =
  6. 6.11111 × 11111 =
  7. 7.12345679 × 63 =
  8. 8.37 × 6 =
  9. 9.111 × 111 =
  10. 10.12345 × 9 + 6 =
  11. 11.37 × 15 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 3 =
  14. 14.12345 × 8 + 5 =
  15. 15.12345679 × 36 =
  16. 16.12345679 × 9 =
  17. 17.12345679 × 54 =
  18. 18.12345679 × 72 =
  19. 19.1234 × 9 + 5 =
  20. 20.1234567 × 8 + 7 =
  21. 21.123456 × 9 + 7 =
  22. 22.37 × 9 =
  23. 23.12 × 9 + 3 =
  24. 24.1234 × 8 + 4 =
  25. 25.123456789 × 8 + 9 =
  26. 26.111111 × 111111 =
  27. 27.12345679 × 45 =
  28. 28.37 × 24 =
  29. 29.12345678 × 9 + 9 =
  30. 30.37 × 12 =
  31. 31.123 × 9 + 4 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12 × 8 + 2 =
  34. 34.37 × 21 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 27 =
  37. 37.12345679 × 36 =
  38. 38.123456 × 8 + 6 =
  39. 39.11111 × 11111 =
  40. 40.1111 × 1111 =

Answer key

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

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